From fb381a6112d5fbcf898048984bb67ee3558330fd Mon Sep 17 00:00:00 2001 From: Abel Date: Sat, 17 Jun 2023 15:21:50 +0530 Subject: [PATCH 01/30] =?UTF-8?q?Bump=20version:=200.1.36=20=E2=86=92=200.?= =?UTF-8?q?1.37?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- gfs_dynamical_core/__init__.py | 2 +- setup.cfg | 2 +- setup.py | 2 +- 3 files changed, 3 insertions(+), 3 deletions(-) diff --git a/gfs_dynamical_core/__init__.py b/gfs_dynamical_core/__init__.py index 3e0122f..73d1edb 100644 --- a/gfs_dynamical_core/__init__.py +++ b/gfs_dynamical_core/__init__.py @@ -8,4 +8,4 @@ __all__ = (GFSDynamicalCore) -__version__ = '0.1.36' +__version__ = '0.1.37' diff --git a/setup.cfg b/setup.cfg index 5a070b8..3cd7a93 100644 --- a/setup.cfg +++ b/setup.cfg @@ -1,5 +1,5 @@ [bumpversion] -current_version = 0.1.36 +current_version = 0.1.37 commit = True tag = False diff --git a/setup.py b/setup.py index 2bff914..1b32a3b 100644 --- a/setup.py +++ b/setup.py @@ -179,7 +179,7 @@ def run(self): setup( name='gfs_dynamical_core', - version='0.1.36', + version='0.1.37', description='Only the dynamical core of the climt repository', long_description=readme + '\n\n' + history, author="Abel Shibu", From 4cbc41440268d286731859b8ecb3361473dafeab Mon Sep 17 00:00:00 2001 From: Abel Date: Sat, 17 Jun 2023 15:25:12 +0530 Subject: [PATCH 02/30] add docs --- docs/changelog.md | 2 +- docs/climt_core.md | 4 ++-- docs/contributing.md | 4 ++-- docs/index.md | 11 +++-------- docs/installation.md | 10 +++++----- 5 files changed, 13 insertions(+), 18 deletions(-) diff --git a/docs/changelog.md b/docs/changelog.md index 289e2c5..4b2e324 100644 --- a/docs/changelog.md +++ b/docs/changelog.md @@ -1,6 +1,6 @@ # Changelog -## v0.0.1 - Date +## v0.1.37 - Date **Improvement**: diff --git a/docs/climt_core.md b/docs/climt_core.md index 05ee1f7..4948c23 100644 --- a/docs/climt_core.md +++ b/docs/climt_core.md @@ -1,4 +1,4 @@ -# climt_core module +# gfs_dynamical_core module -::: climt_core.climt_core \ No newline at end of file +::: gfs_dynamical_core.gfs_dynamical_core \ No newline at end of file diff --git a/docs/contributing.md b/docs/contributing.md index 9206385..f1f9e37 100644 --- a/docs/contributing.md +++ b/docs/contributing.md @@ -1,4 +1,4 @@ -# Contributing + diff --git a/docs/index.md b/docs/index.md index 1332c1e..32e0319 100644 --- a/docs/index.md +++ b/docs/index.md @@ -1,19 +1,14 @@ -# Welcome to climt_core +# Welcome to gfs_dynamical_core -[![image](https://img.shields.io/pypi/v/climt_core.svg)](https://pypi.python.org/pypi/climt_core) + **Only the dynamical core of the climt repository** - Free software: BSD license -- Documentation: - - -## Features - -- reaaly good +- Documentation: ## Credits diff --git a/docs/installation.md b/docs/installation.md index 8dcd849..de46626 100644 --- a/docs/installation.md +++ b/docs/installation.md @@ -2,22 +2,22 @@ ## Stable release -To install climt_core, run this command in your terminal: +To install gfs_dynamical_core, run this command in your terminal: ``` -pip install climt_core +pip install gfs_dynamical_core ``` -This is the preferred method to install climt_core, as it will always install the most recent stable release. +This is the preferred method to install gfs_dynamical_core, as it will always install the most recent stable release. If you don't have [pip](https://pip.pypa.io) installed, this [Python installation guide](http://docs.python-guide.org/en/latest/starting/installation/) can guide you through the process. ## From sources -The sources for climt_core can be downloaded from the Github repo. +The sources for gfs_dynamical_core can be downloaded from the Github repo. You can clone the public repository: ``` -git clone git://github.com/Ai33L/climt_core +git clone git://github.com/Ai33L/gfs_dynamical_core ``` From f5c808430303cc862cdf05c66e5eda00ed87513d Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 12:21:14 +0530 Subject: [PATCH 03/30] try docs --- AUTHORS.rst | 19 + ...Description_of_SecondBEST-checkpoint.ipynb | 244 ++++++++++ docs/Description_of_SecondBEST.ipynb | 281 +++++++++++ docs/Implicit_Scheme_Derivation.ipynb | 387 +++++++++++++++ docs/Makefile | 177 +++++++ docs/authors.rst | 1 + docs/changelog.md | 11 - docs/climt.rst | 10 + docs/climt_core.md | 4 - docs/climt_logo.jpg | Bin 0 -> 1519795 bytes docs/component_manual.rst | 5 + docs/component_types.rst | 28 ++ docs/components.rst | 87 ++++ docs/conf.py | 292 ++++++++++++ docs/configuration.rst | 107 +++++ docs/contributing.md | 108 ----- docs/contributing.rst | 1 + docs/faq.md | 1 - docs/history.rst | 1 + docs/ice_cloud_optical_depth.png | Bin 0 -> 93977 bytes docs/index.md | 16 - docs/index.rst | 51 ++ docs/initialisation.rst | 11 + docs/installation.md | 23 - docs/installation.rst | 99 ++++ docs/interaction.rst | 173 +++++++ docs/introduction.rst | 24 + docs/liquid_cloud_optical_depth.png | Bin 0 -> 81725 bytes docs/make.bat | 242 ++++++++++ docs/memory_management.rst | 80 ++++ docs/modules.rst | 7 + docs/naming.rst | 11 + docs/overrides/main.html | 11 - docs/quickstart.rst | 68 +++ docs/readme.rst | 1 + docs/realistic.rst | 82 ++++ docs/rrtmg_clouds.rst | 440 ++++++++++++++++++ docs/usage.md | 7 - docs/utilities.rst | 27 ++ readthedocs.yml | 6 + 40 files changed, 2962 insertions(+), 181 deletions(-) create mode 100644 AUTHORS.rst create mode 100644 docs/.ipynb_checkpoints/Description_of_SecondBEST-checkpoint.ipynb create mode 100644 docs/Description_of_SecondBEST.ipynb create mode 100644 docs/Implicit_Scheme_Derivation.ipynb create mode 100644 docs/Makefile create mode 100644 docs/authors.rst delete mode 100644 docs/changelog.md create mode 100644 docs/climt.rst delete mode 100644 docs/climt_core.md create mode 100644 docs/climt_logo.jpg create mode 100644 docs/component_manual.rst create mode 100644 docs/component_types.rst create mode 100644 docs/components.rst create mode 100644 docs/conf.py create mode 100644 docs/configuration.rst delete mode 100644 docs/contributing.md create mode 100644 docs/contributing.rst delete mode 100644 docs/faq.md create mode 100644 docs/history.rst create mode 100644 docs/ice_cloud_optical_depth.png delete mode 100644 docs/index.md create mode 100644 docs/index.rst create mode 100644 docs/initialisation.rst delete mode 100644 docs/installation.md create mode 100644 docs/installation.rst create mode 100644 docs/interaction.rst create mode 100644 docs/introduction.rst create mode 100644 docs/liquid_cloud_optical_depth.png create mode 100644 docs/make.bat create mode 100644 docs/memory_management.rst create mode 100644 docs/modules.rst create mode 100644 docs/naming.rst delete mode 100644 docs/overrides/main.html create mode 100644 docs/quickstart.rst create mode 100644 docs/readme.rst create mode 100644 docs/realistic.rst create mode 100644 docs/rrtmg_clouds.rst delete mode 100644 docs/usage.md create mode 100644 docs/utilities.rst create mode 100644 readthedocs.yml diff --git a/AUTHORS.rst b/AUTHORS.rst new file mode 100644 index 0000000..ca80ba3 --- /dev/null +++ b/AUTHORS.rst @@ -0,0 +1,19 @@ +======= +Credits +======= + +Original Creator +---------------- + +* Rodrigo Caballero + +Development Lead +---------------- + +* Joy Monteiro + +Contributors +------------ + +* Jeremy McGibbon +* Abel Shibu diff --git a/docs/.ipynb_checkpoints/Description_of_SecondBEST-checkpoint.ipynb b/docs/.ipynb_checkpoints/Description_of_SecondBEST-checkpoint.ipynb new file mode 100644 index 0000000..f2ff2d6 --- /dev/null +++ b/docs/.ipynb_checkpoints/Description_of_SecondBEST-checkpoint.ipynb @@ -0,0 +1,244 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# SecondBEST\n", + "------------------\n", + "\n", + "`SecondBEST` is a simplified implementation of the Bare Essentials for Surface Transfer (BEST) land surface model. The main simplifications are that `SecondBEST` does not incorporate the effects of vegetation, which reduces a lot of calculations within BEST. We also assume each grid cell is either fully bare soil or snow/ice, i.e, there are no fractional land types. The implementation here follows the description in [Pitman et al.](http://www.geo.utexas.edu/climate/Research/Reprints/Pitman.BMRC.1991.pdf)\n", + "\n", + "This notebook is a ready reference to the equations used in `SecondBEST` so that interested users don't have to read the above reference if they don't wish to. However, if you plan on making heavy use of `SecondBEST`, you are encouraged to do so!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Notation\n", + "\n", + "**Surface types**:\n", + "* _s_ = air above the surface, or lowest atmospheric model layer.\n", + "* _u_ = upper soil layer. BEST uses three soild layers.\n", + "* _l_ = lower soil layer.\n", + "* _b_ = base soil layer.\n", + "* _n_ = snow.\n", + "* _d_ = intercepted water.\n", + "\n", + "**Spectral regions, phases of water**\n", + "* _L_ = liquid.\n", + "* _F_ = frozen.\n", + "* _SW_ = shortwave.\n", + "* _LW_ = longwave.\n", + "\n", + "**Water content**\n", + "* $X_w$ = volumetric soil liquid water content\n", + "* $X_i$ = volumetric soil ice content" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Soil properties\n", + "\n", + "Certain soil properties are calculated initially based on the soil and area types.\n", + "Currently, `SecondBEST` recognises two soil types: `clay` and `sand`.\n", + "\n", + "* Soil colour ($clr$):\n", + " * 0.2 if `clay`\n", + " * 1.0 if `sand`\n", + "* Soil texture ($tex$):\n", + " * 0 if `clay`\n", + " * 9 if `sand`\n", + " * 0.07 if area type is `land_ice`\n", + "* Soil porosity ($X_v$), Eq. 4.10:\n", + " * $0.6 - 0.03\\times tex$\n", + "* Soil moisture volume fraction at field capacity ($X_{FC}$), Eq. 4.11:\n", + " * $(0.95 - 0.086\\times tex)X_v$\n", + "* Soil moisture volume fraction at wilting point ($X_{wilt}$), Eq. 4.12:\n", + " * $X_v - 0.03$\n", + " * 0.01 when area type is `land_ice`.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Albedo Calculation\n", + "\n", + "The albedo calculation is described in section 5.0 of Pitman et al. `SecondBEST` calculates albedo in the near-infraread and shortwave separately. This is also quite convenient since RRTMG, the radiative transfer code also uses two separate albedos.\n", + "\n", + "### Bare soil\n", + "\n", + "The albedo for bare soil is calculated as (Eqns. 5.5, 5.6):\n", + "$$\\alpha_{SW,u} = 0.10 + 0.1clr + 0.06(1-W_{L,u})\\\\\n", + "\\alpha_{LW,u} = 2\\alpha_{SW,u}$$\n", + "\n", + "where $clr$ is the soil colour defined above.\n", + "\n", + "$W_{L,u}$ is the soil wetness factor, and is defined as the ratio of the\n", + "liquid soil water content in the upper soil layer to its porosity.\n", + "\n", + "$$W_{L,u} = X_{w,u}/X_v$$\n", + "\n", + "### Land Ice\n", + "\n", + "The albedo of Land Ice is calculated as (Eqns. 5.7, 5.8):\n", + "$$\\alpha_{SW,u} = 0.60 + 0.06(1-W_{L,u}) \\\\\n", + "\\alpha_{LW,u} = \\frac{1}{3}\\alpha_{SW,u}$$\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Surface drag parameters\n", + "\n", + "`SecondBEST` calculates the drag parameters as in section 6 of Pitman et al.\n", + "\n", + "### Roughness length\n", + "\n", + "$$ z_0 = \\left \\{ \\begin{array}{1} 0.01m,\\ (soil) \\\\ 0.001m,\\ (snow\\ or\\ ice)\\\\ 0.0002m,\\ (sea) \\end{array} \\right .$$\n", + "\n", + "### Neutral drag coefficient\n", + "\n", + "$$ C_{DN} = \\left ( \\frac{\\kappa}{\\log{z_m} - \\log{z_0}} \\right )^2 ,$$\n", + "\n", + "where $z_m$ is the hydrostatic mid-level height of the lowest atmosphere level and $\\kappa$ is the von Karman constant.\n", + "\n", + "### Normalised mixing length\n", + "\n", + "$$\\zeta = \\exp{\\left (\\frac{-\\kappa}{\\sqrt{C_{DN}}}\\right )}$$\n", + "\n", + "### Richardson number\n", + "\n", + "$$Ri = -\\frac{gz_m}{T_s U_m^2}\\left [ T_u - T_s\\right ] $$\n", + "\n", + "Where $U_m$ is the magnitude of the wind speed at the lowest model level and the other notation is as before. $U_m$ has a minimum value that can be set during initialisation of `SecondBEST`.\n", + "A negative Richardson number indicates unstable conditions.\n", + "\n", + "### Momentum drag coefficient\n", + "\n", + "$$ C_{Dm} = \\left \\{ \\begin{array}{1} C_{DN}\\left [ 1 - \\frac{8Ri}{1 + 56.768 C_{DN}\\sqrt{\\frac{-Ri}{\\zeta}}}\\right ],\\ Ri<0 \\\\ C_{DN} \\left [\\frac{(1 - 4\\epsilon Ri)^2}{1 + 8(1-\\epsilon)Ri} \\right ],\\ Ri \\ge 0 \\end{array} \\right .$$\n", + "\n", + "### Heat and other scalars drag coefficient\n", + "$$ C_{Dh} = \\left \\{ \\begin{array}{1} C_{DN}\\left [ 1 - \\frac{12Ri}{1 + 41.801 C_{DN}\\sqrt{\\frac{-Ri}{\\zeta}}}\\right ],\\ Ri<0 \\\\ C_{DN} \\left [\\frac{1 - 4\\epsilon Ri}{1 + (6-4\\epsilon)Ri} \\right ]^2,\\ Ri \\ge 0 \\end{array} \\right .$$\n", + "\n", + "where $\\epsilon$ is 0.01 for land and 1.0 for oceans." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Surface fluxes\n", + "\n", + "The equations are from Section 8. in Pitman et al.\n", + "\n", + "### Sensible heat flux (Eq. 8.3)\n", + "\n", + "is given by the relatively well known bulk aerodynamic formula.\n", + "\n", + "$$SHF = \\rho_s C_{pd} U_m C_{Dh} (T_u - T_s)$$\n", + "\n", + "### Latent heat flux (Eq. 8.4)\n", + "\n", + "is also given by the bulk formula\n", + "\n", + "$$LHF = L_v\\rho_s U_m C_{Dh} \\beta_u(q^*_u - q_s) $$\n", + "\n", + "where $q^*_u$ is the saturation specific humidity at the soil surface. A \"wetness factor\", $\\beta_u$, is also required, defined as\n", + "\n", + "$$\\beta_u = \\left \\{ \\begin{array}{1} 1,\\ snow\\\\ \\frac{W_{F,u}L_v}{L_i} + \\frac{E_{usmax}}{E_{usP}},\\ soil\\end{array} \\right .$$\n", + "\n", + "$L_v$ is the latent heat of vapourisation, $L_i$ is the latent heat of sublimation, $W_{F,u}$ is the frozen soil moisture in the upper soil layer. The first term containing these terms represents the rate at which frozen soil can sublimate.\n", + "\n", + "$E_{usP}$ is the potential evaporation rate at the soil surface,\n", + "\n", + "$$E_{usP} = \\rho_s c_u (q^*_u - q_s)$$\n", + "\n", + "where $c_u$ is the soil conductance, defined as (Eq. 7.22)\n", + "\n", + "$$c_u = C_{Dh}U_m.$$\n", + "\n", + "$E_{usmax}$ is the exfiltration rate given by\n", + "\n", + "$$E_{usmax} = K_{HD}\\Theta_u^{0.5B + 2} - K_{H0}\\Theta_u^{2B + 3}$$\n", + "\n", + "Where\n", + "\n", + "$$B = \\left \\{ \\begin{array} 10,\\ clay\\\\ 4,\\ sand\\end{array} \\right .$$\n", + "\n", + "$$K_{H0} = \\left \\{ \\begin{array} 0.001,\\ clay\\\\ 0.1,\\ sand \\end{array} \\right .$$\n", + "\n", + "and\n", + "$$K_{HD} = \\left ( \\frac{-4K_{H0}B\\Psi_0\\rho_wX_v(1 - W_{F,u})}{\\pi\\Delta t}\\right )$$\n", + "\n", + "where \n", + "* $\\rho_w$ is the density of the water \n", + "* $\\Psi_0 = -0.2m$ for all soil types is the soil suction at saturation.\n", + "* $\\Delta t$ is the model time step\n", + "* $\\pi$ is the constant.\n", + "\n", + "$\\Theta_u$ is defined as\n", + "\n", + "$$\\Theta_u = \\frac{W_{L,u} - 0.01}{1 - W_{F,u}}$$\n", + "\n", + "The wetness factors $W_{L,x}$ in the soil in the upper and lower layers is **NOT** allowed to fall below 0.01 due to physical and numerical issues.\n", + "\n", + "### Momentum fluxes\n", + "\n", + "are directly calculated from the momentum bulk coefficient\n", + "$$U_s = -\\rho_s C_{Dm}U_mu$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Surface energy balance\n", + "\n", + "The energy balance is straightforward once the latent and sensible heat fluxes are known.\n", + "Adding the radiative fluxes completes the balance.\n", + "\n", + "$$Net = Net_{SW} + Net_{LW} - LHF - SHF$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Moisture and heat conduction through snow, ice and soil\n", + "\n", + "The transfer of heat and moisture through the snow-ice-soil pack requires solving\n", + "the diffusion equation along with local sources and sinks of heat and moisture which \n", + "\n", + "### Heat conductivity" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docs/Description_of_SecondBEST.ipynb b/docs/Description_of_SecondBEST.ipynb new file mode 100644 index 0000000..07f813f --- /dev/null +++ b/docs/Description_of_SecondBEST.ipynb @@ -0,0 +1,281 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# SecondBEST\n", + "------------------\n", + "\n", + "`SecondBEST` is a simplified implementation of the Bare Essentials for Surface Transfer (BEST) land surface model. The main simplifications are that `SecondBEST` does not incorporate the effects of vegetation, which reduces a lot of calculations within BEST. We also assume each grid cell is either fully bare soil or snow/ice, i.e, there are no fractional land types. The implementation here follows the description in [Pitman et al.](http://www.geo.utexas.edu/climate/Research/Reprints/Pitman.BMRC.1991.pdf)\n", + "\n", + "This notebook is a ready reference to the equations used in `SecondBEST` so that interested users don't have to read the above reference if they don't wish to. However, if you plan on making heavy use of `SecondBEST`, you are encouraged to do so!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Notation\n", + "\n", + "**Surface types**:\n", + "* _s_ = air above the surface, or lowest atmospheric model layer.\n", + "* _u_ = upper soil layer. BEST uses three soild layers.\n", + "* _l_ = lower soil layer.\n", + "* _b_ = base soil layer.\n", + "* _n_ = snow.\n", + "* _d_ = intercepted water.\n", + "\n", + "**Spectral regions, phases of water**\n", + "* _L_ = liquid.\n", + "* _F_ = frozen.\n", + "* _SW_ = shortwave.\n", + "* _LW_ = longwave.\n", + "\n", + "**Water content**\n", + "* $X_w$ = volumetric soil liquid water content\n", + "* $X_i$ = volumetric soil ice content" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Soil properties\n", + "\n", + "Certain soil properties are calculated initially based on the soil and area types.\n", + "Currently, `SecondBEST` recognises two soil types: `clay` and `sand`.\n", + "\n", + "* Soil colour ($clr$):\n", + " * 0.2 if `clay`\n", + " * 1.0 if `sand`\n", + "* Soil texture ($tex$):\n", + " * 0 if `clay`\n", + " * 9 if `sand`\n", + " * 0.07 if area type is `land_ice`\n", + "* Soil porosity ($X_v$), Eq. 4.10:\n", + " * $0.6 - 0.03\\times tex$\n", + "* Soil moisture volume fraction at field capacity ($X_{FC}$), Eq. 4.11:\n", + " * $(0.95 - 0.086\\times tex)X_v$\n", + "* Soil moisture volume fraction at wilting point ($X_{wilt}$), Eq. 4.12:\n", + " * $X_v - 0.03$\n", + " * 0.01 when area type is `land_ice`.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Albedo Calculation\n", + "\n", + "The albedo calculation is described in section 5.0 of Pitman et al. `SecondBEST` calculates albedo in the near-infraread and shortwave separately. This is also quite convenient since RRTMG, the radiative transfer code also uses two separate albedos.\n", + "\n", + "### Bare soil\n", + "\n", + "The albedo for bare soil is calculated as (Eqns. 5.5, 5.6):\n", + "$$\\alpha_{SW,u} = 0.10 + 0.1clr + 0.06(1-W_{L,u})\\\\\n", + "\\alpha_{LW,u} = 2\\alpha_{SW,u}$$\n", + "\n", + "where $clr$ is the soil colour defined above.\n", + "\n", + "$W_{L,u}$ is the soil wetness factor, and is defined as the ratio of the\n", + "liquid soil water content in the upper soil layer to its porosity.\n", + "\n", + "$$W_{L,u} = X_{w,u}/X_v$$\n", + "\n", + "### Land Ice\n", + "\n", + "The albedo of Land Ice is calculated as (Eqns. 5.7, 5.8):\n", + "$$\\alpha_{SW,u} = 0.60 + 0.06(1-W_{L,u}) \\\\\n", + "\\alpha_{LW,u} = \\frac{1}{3}\\alpha_{SW,u}$$\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Surface drag parameters\n", + "\n", + "`SecondBEST` calculates the drag parameters as in section 6 of Pitman et al.\n", + "\n", + "### Roughness length\n", + "\n", + "$$ z_0 = \\left \\{ \\begin{array}{1} 0.01m,\\ (soil) \\\\ 0.001m,\\ (snow\\ or\\ ice)\\\\ 0.0002m,\\ (sea) \\end{array} \\right .$$\n", + "\n", + "### Neutral drag coefficient\n", + "\n", + "$$ C_{DN} = \\left ( \\frac{\\kappa}{\\log{z_m} - \\log{z_0}} \\right )^2 ,$$\n", + "\n", + "where $z_m$ is the hydrostatic mid-level height of the lowest atmosphere level and $\\kappa$ is the von Karman constant.\n", + "\n", + "### Normalised mixing length\n", + "\n", + "$$\\zeta = \\exp{\\left (\\frac{-\\kappa}{\\sqrt{C_{DN}}}\\right )}$$\n", + "\n", + "### Richardson number\n", + "\n", + "$$Ri = -\\frac{gz_m}{T_s U_m^2}\\left [ T_u - T_s\\right ] $$\n", + "\n", + "Where $U_m$ is the magnitude of the wind speed at the lowest model level and the other notation is as before. $U_m$ has a minimum value that can be set during initialisation of `SecondBEST`.\n", + "A negative Richardson number indicates unstable conditions.\n", + "\n", + "### Momentum drag coefficient\n", + "\n", + "$$ C_{Dm} = \\left \\{ \\begin{array}{1} C_{DN}\\left [ 1 - \\frac{8Ri}{1 + 56.768 C_{DN}\\sqrt{\\frac{-Ri}{\\zeta}}}\\right ],\\ Ri<0 \\\\ C_{DN} \\left [\\frac{(1 - 4\\epsilon Ri)^2}{1 + 8(1-\\epsilon)Ri} \\right ],\\ Ri \\ge 0 \\end{array} \\right .$$\n", + "\n", + "### Heat and other scalars drag coefficient\n", + "$$ C_{Dh} = \\left \\{ \\begin{array}{1} C_{DN}\\left [ 1 - \\frac{12Ri}{1 + 41.801 C_{DN}\\sqrt{\\frac{-Ri}{\\zeta}}}\\right ],\\ Ri<0 \\\\ C_{DN} \\left [\\frac{1 - 4\\epsilon Ri}{1 + (6-4\\epsilon)Ri} \\right ]^2,\\ Ri \\ge 0 \\end{array} \\right .$$\n", + "\n", + "where $\\epsilon$ is 0.01 for land and 1.0 for oceans." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Surface fluxes\n", + "\n", + "The equations are from Section 8. in Pitman et al.\n", + "\n", + "### Sensible heat flux (Eq. 8.3)\n", + "\n", + "is given by the relatively well known bulk aerodynamic formula.\n", + "\n", + "$$SHF = \\rho_s C_{pd} U_m C_{Dh} (T_u - T_s)$$\n", + "\n", + "where $C_{pd}$ is the heat capacity at constant pressure of dry air, and $\\rho_s$ is the density of air at the surface.\n", + "\n", + "### Latent heat flux (Eq. 8.4)\n", + "\n", + "is also given by the bulk formula\n", + "\n", + "$$LHF = L_v\\rho_s U_m C_{Dh} \\beta_u(q^*_u - q_s) $$\n", + "\n", + "where $q^*_u$ is the saturation specific humidity at the soil surface. A \"wetness factor\", $\\beta_u$, is also required, defined as\n", + "\n", + "$$\\beta_u = \\left \\{ \\begin{array}{1} 1,\\ snow\\\\ \\frac{W_{F,u}L_v}{L_i} + \\frac{E_{usmax}}{E_{usP}},\\ soil\\end{array} \\right .$$\n", + "\n", + "$L_v$ is the latent heat of vapourisation, $L_i$ is the latent heat of sublimation, $W_{F,u}$ is the frozen soil moisture in the upper soil layer. The first term containing these terms represents the rate at which frozen soil can sublimate.\n", + "\n", + "$E_{usP}$ is the potential evaporation rate at the soil surface,\n", + "\n", + "$$E_{usP} = \\rho_s c_u (q^*_u - q_s)$$\n", + "\n", + "where $c_u$ is the soil conductance, defined as (Eq. 7.22)\n", + "\n", + "$$c_u = C_{Dh}U_m.$$\n", + "\n", + "$E_{usmax}$ is the exfiltration rate given by\n", + "\n", + "$$E_{usmax} = K_{HD}\\Theta_u^{0.5B + 2} - K_{H0}\\Theta_u^{2B + 3}$$\n", + "\n", + "Where\n", + "\n", + "$$B = \\left \\{ \\begin{array} 10,\\ clay\\\\ 4,\\ sand\\end{array} \\right .$$\n", + "\n", + "$$K_{H0} = \\left \\{ \\begin{array} 0.001,\\ clay\\\\ 0.1,\\ sand \\end{array} \\right .$$\n", + "\n", + "and\n", + "$$K_{HD} = \\left ( \\frac{-4K_{H0}B\\Psi_0\\rho_wX_v(1 - W_{F,u})}{\\pi\\Delta t}\\right )$$\n", + "\n", + "where \n", + "* $\\rho_w$ is the density of the water \n", + "* $\\Psi_0 = -0.2m$ for all soil types is the soil suction at saturation.\n", + "* $\\Delta t$ is the model time step\n", + "* $\\pi$ is the constant.\n", + "\n", + "$\\Theta_u$ is defined as\n", + "\n", + "$$\\Theta_u = \\frac{W_{L,u} - 0.01}{1 - W_{F,u}}$$\n", + "\n", + "The wetness factors $W_{L,x}$ in the soil in the upper and lower layers is **NOT** allowed to fall below 0.01 due to physical and numerical issues.\n", + "\n", + "### Momentum fluxes\n", + "\n", + "are directly calculated from the momentum bulk coefficient\n", + "$$U_s = -\\rho_s C_{Dm}U_mu$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Surface energy balance\n", + "\n", + "The energy balance is straightforward once the latent and sensible heat fluxes are known.\n", + "Adding the radiative fluxes completes the balance.\n", + "\n", + "$$Net = Net_{SW} + Net_{LW} - LHF - SHF$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Moisture and heat conduction through snow, ice and soil\n", + "\n", + "The transfer of heat and moisture through the snow-ice-soil pack requires solving\n", + "the diffusion equation along with local sources and sinks of heat and moisture which correspond to freezing/melting of water.\n", + "\n", + "The conservation laws are:\n", + "\n", + "$$c_vT_t = G_z + L_f\\Gamma + c_{pw}RT_z - T_t(fict)$$\n", + "\n", + "$$\\rho_w (X_w)_t = (R - (1-f_i)E)_z - \\Gamma - \\Pi$$\n", + "\n", + "$$\\rho_i(X_i)_t = -(f_i E)_z + \\Gamma$$\n", + "\n", + "where\n", + "\n", + "$f_i = X_i/(X_w + X_i)$, $c_v$ is a volumetric heat capacity for soil.\n", + "\n", + "$\\Gamma = \\frac{c_v}{L_f}\\frac{(T_f - T)}{\\Delta t}$ is the potential ice production rate, which is zero if there is no water for freezing or ice for melting.\n", + "\n", + "$\\Pi = A_vE_c/\\Delta z$ is the water removed by transpiration, which is zero in this component (no vegetation effects)\n", + "\n", + "And the flux densities are\n", + "\n", + "$G = K_T T_z$\n", + "\n", + "$R = \\rho_w K_H(1 + \\psi_z) = \\rho_w K_H(z + \\psi)_z$\n", + "for water\n", + "\n", + "$E = \\left \\{ \\begin{array}\\\\ 0,\\ z < 0\\\\ E_{us},\\ z=0 \\end{array} \\right .$\n", + "for water vapour\n", + "\n", + "$T_t(fict)$ is a fictional source that is not necessary in our case since we are solving the full heat/mass transfer equations.\n", + "\n", + "\n", + "### Bottom Boundary conditions\n", + "\n", + "We use a Neumann condition for all variables $()_z=0$, representing a sink of energy and water to the deep soil.\n", + "\n", + "### Numerical scheme\n", + "\n", + "We use an implicit scheme to step forward the diffusive (density) terms and an Euler scheme to step forward the other sources and sinks. The term $c_{pw}RT_z$ represents advection, and this will set the CFL condition $\\Delta z/(c_{pw}R) > \\Delta t/2$ where $\\Delta t$ is the timestep to be used." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docs/Implicit_Scheme_Derivation.ipynb b/docs/Implicit_Scheme_Derivation.ipynb new file mode 100644 index 0000000..bbbf80b --- /dev/null +++ b/docs/Implicit_Scheme_Derivation.ipynb @@ -0,0 +1,387 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Deriving coefficients for the implicit scheme\n", + "---------------------------------------------------\n", + "\n", + "The ice sheet energy balance model uses an implicit scheme to solve the\n", + "heat equation for $N$ layers. It uses the Crank-Nicholson scheme to discretise\n", + "the equations. For an equation in one space dimension $x$\n", + "\n", + "$\\frac{df}{dt} = F$,\n", + "\n", + "the Crank-Nicholson scheme discretises the equation as\n", + "\n", + "$\\frac{f^{i+1}_x - f^{i}_x}{\\Delta t} = 0.5\\left [ F^{i+1}_x + F^{i}_x \\right ]$\n", + "\n", + "where the superscript is time and the subscript is space." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from sympy import *\n", + "init_printing()" + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "tnew_x = Symbol('T^{i+1}_x')\n", + "tnew_xprev = Symbol('T^{i+1}_{x-1}')\n", + "tnew_xafter = Symbol('T^{i+1}_{x+1}')\n", + "\n", + "told_x = Symbol('T^{i}_x')\n", + "told_xprev = Symbol('T^{i}_{x-1}')\n", + "told_xafter = Symbol('T^{i}_{x+1}')\n", + "\n", + "u_x = Symbol('\\kappa_x')\n", + "u_xprev = Symbol('\\kappa_{x-1}')\n", + "u_xafter = Symbol('\\kappa_{x+1}')\n", + "\n", + "delta_t = Symbol('\\Delta t')\n", + "delta_x = Symbol('\\Delta x')" + ] + }, + { + "cell_type": "code", + "execution_count": 142, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/latex": [ + "$$\\left ( T^{i}_x, \\quad \\kappa_{x-1}, \\quad T^{i+1}_{x+1}, \\quad \\Delta x\\right )$$" + ], + "text/plain": [ + "(T_x__{i}, \\kappa_{x-1}, T_{x+1}__{i+1}, \\Delta x)" + ] + }, + "execution_count": 142, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "told_x, u_xprev, tnew_xafter, delta_x" + ] + }, + { + "cell_type": "code", + "execution_count": 143, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "lhs = (tnew_x - told_x)/delta_t" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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"text/latex": [ + "$$\\frac{T^{i+1}_x - T^{i}_x}{\\Delta t}$$" + ], + "text/plain": [ + "T_x__{i+1} - T_x__{i}\n", + "─────────────────────\n", + " \\Delta t " + ] + }, + "execution_count": 144, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lhs # The time derivative" + ] + }, + { + "cell_type": "code", + "execution_count": 158, + "metadata": {}, + "outputs": [], + "source": [ + "rhs_new = 0.5*(u_x*(tnew_xprev - 2*tnew_x + tnew_xafter)/delta_x**2 + \n", + " ((tnew_x - tnew_xprev)/(delta_x))*((u_x - u_xprev)/(delta_x)))" + ] + }, + { + "cell_type": "code", + "execution_count": 159, + "metadata": {}, + "outputs": [], + "source": [ + "rhs_old = 0.5*(u_x*(told_xprev - 2*told_x + told_xafter)/delta_x**2 + \n", + " ((told_x - told_xprev)/(delta_x))*((u_x - u_xprev)/(delta_x)))" + ] + }, + { + "cell_type": "code", + "execution_count": 160, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/latex": [ + "$$\\left ( \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i+1}_x + T^{i+1}_{x+1} + T^{i+1}_{x-1}\\right) + \\frac{0.5}{\\Delta x^{2}} \\left(T^{i+1}_x - T^{i+1}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right), \\quad \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i}_x + T^{i}_{x+1} + T^{i}_{x-1}\\right) + \\frac{0.5}{\\Delta x^{2}} \\left(T^{i}_x - T^{i}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right)\\right )$$" + ], + "text/plain": [ + "⎛0.5⋅\\kappaₓ⋅(-2⋅T_x__{i+1} + T_{x+1}__{i+1} + T_{x-1}__{i+1}) 0.5⋅(T_x__{i+\n", + "⎜───────────────────────────────────────────────────────────── + ─────────────\n", + "⎜ 2 \n", + "⎝ \\Delta x \n", + "\n", + "1} - T_{x-1}__{i+1})⋅(\\kappaₓ - \\kappa_{x-1}) 0.5⋅\\kappaₓ⋅(-2⋅T_x__{i} + T_{x\n", + "─────────────────────────────────────────────, ───────────────────────────────\n", + " 2 \n", + " \\Delta x \\Delta x\n", + "\n", + "+1}__{i} + T_{x-1}__{i}) 0.5⋅(T_x__{i} - T_{x-1}__{i})⋅(\\kappaₓ - \\kappa_{x-\n", + "──────────────────────── + ───────────────────────────────────────────────────\n", + "2 2 \n", + " \\Delta x \n", + "\n", + "1})⎞\n", + "───⎟\n", + " ⎟\n", + " ⎠" + ] + }, + "execution_count": 160, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rhs_new, rhs_old # The two parts of the crank-nicholson RHS." + ] + }, + { + "cell_type": "code", + "execution_count": 161, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "expr = lhs - rhs_new - rhs_old" + ] + }, + { + "cell_type": "code", + "execution_count": 162, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/latex": [ + "$$- \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i+1}_x + T^{i+1}_{x+1} + T^{i+1}_{x-1}\\right) - \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i}_x + T^{i}_{x+1} + T^{i}_{x-1}\\right) - \\frac{0.5}{\\Delta x^{2}} \\left(T^{i+1}_x - T^{i+1}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right) - \\frac{0.5}{\\Delta x^{2}} \\left(T^{i}_x - T^{i}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right) + \\frac{T^{i+1}_x - T^{i}_x}{\\Delta t}$$" + ], + "text/plain": [ + " 0.5⋅\\kappaₓ⋅(-2⋅T_x__{i+1} + T_{x+1}__{i+1} + T_{x-1}__{i+1}) 0.5⋅\\kappaₓ⋅\n", + "- ───────────────────────────────────────────────────────────── - ────────────\n", + " 2 \n", + " \\Delta x \n", + "\n", + "(-2⋅T_x__{i} + T_{x+1}__{i} + T_{x-1}__{i}) 0.5⋅(T_x__{i+1} - T_{x-1}__{i+1}\n", + "─────────────────────────────────────────── - ────────────────────────────────\n", + " 2 \n", + " \\Delta x \\Delta x\n", + "\n", + ")⋅(\\kappaₓ - \\kappa_{x-1}) 0.5⋅(T_x__{i} - T_{x-1}__{i})⋅(\\kappaₓ - \\kappa_{\n", + "────────────────────────── - ─────────────────────────────────────────────────\n", + "2 2 \n", + " \\Delta x \n", + "\n", + "x-1}) T_x__{i+1} - T_x__{i}\n", + "───── + ─────────────────────\n", + " \\Delta t \n", + " " + ] + }, + "execution_count": 162, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "expr" + ] + }, + { + "cell_type": "code", + "execution_count": 163, + "metadata": {}, + "outputs": [], + "source": [ + "poly_form = Poly(expr, tnew_x, tnew_xafter, tnew_xprev, told_x, told_xafter, told_xprev)" + ] + }, + { + "cell_type": "code", + "execution_count": 167, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/latex": [ + "$$\\operatorname{Poly}{\\left( \\frac{1.0 T^{i+1}_x}{\\Delta t \\Delta x^{2}} \\left(0.5 \\Delta t \\kappa_x + 0.5 \\Delta t \\kappa_{x-1} + 1.0 \\Delta x^{2}\\right) - \\frac{0.5 T^{i+1}_{x+1} \\kappa_x}{\\Delta x^{2}} - \\frac{0.5 T^{i+1}_{x-1} \\kappa_{x-1}}{\\Delta x^{2}} + \\frac{1.0 T^{i}_x}{\\Delta t \\Delta x^{2}} \\left(0.5 \\Delta t \\kappa_x + 0.5 \\Delta t \\kappa_{x-1} - 1.0 \\Delta x^{2}\\right) - \\frac{0.5 T^{i}_{x+1} \\kappa_x}{\\Delta x^{2}} - \\frac{0.5 T^{i}_{x-1} \\kappa_{x-1}}{\\Delta x^{2}}, T^{i+1}_x, T^{i+1}_{x+1}, T^{i+1}_{x-1}, T^{i}_x, T^{i}_{x+1}, T^{i}_{x-1}, domain=\\mathbb{R}\\left(\\Delta t, \\Delta x, \\kappa_x, \\kappa_{x-1}\\right) \\right)}$$" + ], + "text/plain": [ + "Poly(1.0*(0.5*\\Delta t*\\kappa_x + 0.5*\\Delta t*\\kappa_{x-1} + 1.0*\\Delta x**2)\n", + "/(\\Delta t*\\Delta x**2)*T^{i+1}_x - 0.5*\\kappa_x/\\Delta x**2*T^{i+1}_{x+1} - 0\n", + ".5*\\kappa_{x-1}/\\Delta x**2*T^{i+1}_{x-1} + 1.0*(0.5*\\Delta t*\\kappa_x + 0.5*\\\n", + "Delta t*\\kappa_{x-1} - 1.0*\\Delta x**2)/(\\Delta t*\\Delta x**2)*T^{i}_x - 0.5*\\\n", + "kappa_x/\\Delta x**2*T^{i}_{x+1} - 0.5*\\kappa_{x-1}/\\Delta x**2*T^{i}_{x-1}, T^\n", + "{i+1}_x, T^{i+1}_{x+1}, T^{i+1}_{x-1}, T^{i}_x, T^{i}_{x+1}, T^{i}_{x-1}, doma\n", + "in='RR(\\Delta t,\\Delta x,\\kappa_x,\\kappa_{x-1})')" + ] + }, + "execution_count": 167, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "poly_form" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The coefficients for the $i+1$ temperature (predicted) are" + ] + }, + { + "cell_type": "code", + "execution_count": 165, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/latex": [ + "$$\\left ( - \\frac{0.5 \\Delta t \\kappa_{x-1}}{\\Delta x^{2}}, \\quad \\frac{1}{\\Delta x^{2}} \\left(0.5 \\Delta t \\kappa_x + 0.5 \\Delta t \\kappa_{x-1} + 1.0 \\Delta x^{2}\\right), \\quad - \\frac{0.5 \\Delta t \\kappa_x}{\\Delta x^{2}}\\right )$$" + ], + "text/plain": [ + "⎛ \n", + "⎜-0.5⋅\\Delta t⋅\\kappa_{x-1} 0.5⋅\\Delta t⋅\\kappaₓ + 0.5⋅\\Delta t⋅\\kappa_{x-1}\n", + "⎜───────────────────────────, ────────────────────────────────────────────────\n", + "⎜ 2 2 \n", + "⎝ \\Delta x \\Delta x \n", + "\n", + " 2 ⎞\n", + " + 1.0⋅\\Delta x -0.5⋅\\Delta t⋅\\kappaₓ ⎟\n", + "────────────────, ──────────────────────⎟\n", + " 2 ⎟\n", + " \\Delta x ⎠" + ] + }, + "execution_count": 165, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(poly_form.coeff_monomial(tnew_xprev)*delta_t).simplify(), (poly_form.coeff_monomial(tnew_x)*delta_t).simplify(), (poly_form.coeff_monomial(tnew_xafter)*delta_t).simplify()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The coefficients for the $i$ temperature (current) are" + ] + }, + { + "cell_type": "code", + "execution_count": 166, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/latex": [ + "$$\\left ( \\frac{0.5 \\Delta t \\kappa_{x-1}}{\\Delta x^{2}}, \\quad \\frac{1}{\\Delta x^{2}} \\left(- 0.5 \\Delta t \\kappa_x - 0.5 \\Delta t \\kappa_{x-1} + 1.0 \\Delta x^{2}\\right), \\quad \\frac{0.5 \\Delta t \\kappa_x}{\\Delta x^{2}}\\right )$$" + ], + "text/plain": [ + "⎛ \n", + "⎜0.5⋅\\Delta t⋅\\kappa_{x-1} -0.5⋅\\Delta t⋅\\kappaₓ - 0.5⋅\\Delta t⋅\\kappa_{x-1} \n", + "⎜─────────────────────────, ──────────────────────────────────────────────────\n", + "⎜ 2 2 \n", + "⎝ \\Delta x \\Delta x \n", + "\n", + " 2 ⎞\n", + "+ 1.0⋅\\Delta x 0.5⋅\\Delta t⋅\\kappaₓ⎟\n", + "───────────────, ────────────────────⎟\n", + " 2 ⎟\n", + " \\Delta x ⎠" + ] + }, + "execution_count": 166, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "-(poly_form.coeff_monomial(told_xprev)*delta_t).simplify(), (poly_form.coeff_monomial(told_x)*-delta_t).simplify(), -(poly_form.coeff_monomial(told_xafter)*delta_t).simplify()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "These are the coefficients for the diagonals of the sparse matrix. The need to be multiplied by $\\frac{1}{\\rho C}$ where $\\rho, C$ are the vertically varying density and specific heat to represent snow and ice. \n", + "\n", + "The $\\kappa$ values are staggered from the $T$ values, since $T$ represents the interface temperatures and $\\kappa$ represents the mid_level values. `K_mid` and `K_bar` in the code therefore interpolate $\\kappa$ values to the interface." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/docs/Makefile b/docs/Makefile new file mode 100644 index 0000000..76070cd --- /dev/null +++ b/docs/Makefile @@ -0,0 +1,177 @@ +# Makefile for Sphinx documentation +# + +# You can set these variables from the command line. +SPHINXOPTS = +SPHINXBUILD = sphinx-build +PAPER = +BUILDDIR = _build + +# User-friendly check for sphinx-build +ifeq ($(shell which $(SPHINXBUILD) >/dev/null 2>&1; echo $$?), 1) +$(error The '$(SPHINXBUILD)' command was not found. Make sure you have Sphinx installed, then set the SPHINXBUILD environment variable to point to the full path of the '$(SPHINXBUILD)' executable. Alternatively you can add the directory with the executable to your PATH. If you don't have Sphinx installed, grab it from http://sphinx-doc.org/) +endif + +# Internal variables. +PAPEROPT_a4 = -D latex_paper_size=a4 +PAPEROPT_letter = -D latex_paper_size=letter +ALLSPHINXOPTS = -d $(BUILDDIR)/doctrees $(PAPEROPT_$(PAPER)) $(SPHINXOPTS) . +# the i18n builder cannot share the environment and doctrees with the others +I18NSPHINXOPTS = $(PAPEROPT_$(PAPER)) $(SPHINXOPTS) . + +.PHONY: help clean html dirhtml singlehtml pickle json htmlhelp qthelp devhelp epub latex latexpdf text man changes linkcheck doctest gettext + +help: + @echo "Please use \`make ' where is one of" + @echo " html to make standalone HTML files" + @echo " dirhtml to make HTML files named index.html in directories" + @echo " singlehtml to make a single large HTML file" + @echo " pickle to make pickle files" + @echo " json to make JSON files" + @echo " htmlhelp to make HTML files and a HTML help project" + @echo " qthelp to make HTML files and a qthelp project" + @echo " devhelp to make HTML files and a Devhelp project" + @echo " epub to make an epub" + @echo " latex to make LaTeX files, you can set PAPER=a4 or PAPER=letter" + @echo " latexpdf to make LaTeX files and run them through pdflatex" + @echo " latexpdfja to make LaTeX files and run them through platex/dvipdfmx" + @echo " text to make text files" + @echo " man to make manual pages" + @echo " texinfo to make Texinfo files" + @echo " info to make Texinfo files and run them through makeinfo" + @echo " gettext to make PO message catalogs" + @echo " changes to make an overview of all changed/added/deprecated items" + @echo " xml to make Docutils-native XML files" + @echo " pseudoxml to make pseudoxml-XML files for display purposes" + @echo " linkcheck to check all external links for integrity" + @echo " doctest to run all doctests embedded in the documentation (if enabled)" + +clean: + rm -rf $(BUILDDIR)/* + +html: + $(SPHINXBUILD) -b html $(ALLSPHINXOPTS) $(BUILDDIR)/html + @echo + @echo "Build finished. The HTML pages are in $(BUILDDIR)/html." + +dirhtml: + $(SPHINXBUILD) -b dirhtml $(ALLSPHINXOPTS) $(BUILDDIR)/dirhtml + @echo + @echo "Build finished. The HTML pages are in $(BUILDDIR)/dirhtml." + +singlehtml: + $(SPHINXBUILD) -b singlehtml $(ALLSPHINXOPTS) $(BUILDDIR)/singlehtml + @echo + @echo "Build finished. The HTML page is in $(BUILDDIR)/singlehtml." + +pickle: + $(SPHINXBUILD) -b pickle $(ALLSPHINXOPTS) $(BUILDDIR)/pickle + @echo + @echo "Build finished; now you can process the pickle files." + +json: + $(SPHINXBUILD) -b json $(ALLSPHINXOPTS) $(BUILDDIR)/json + @echo + @echo "Build finished; now you can process the JSON files." + +htmlhelp: + $(SPHINXBUILD) -b htmlhelp $(ALLSPHINXOPTS) $(BUILDDIR)/htmlhelp + @echo + @echo "Build finished; now you can run HTML Help Workshop with the" \ + ".hhp project file in $(BUILDDIR)/htmlhelp." + +qthelp: + $(SPHINXBUILD) -b qthelp $(ALLSPHINXOPTS) $(BUILDDIR)/qthelp + @echo + @echo "Build finished; now you can run "qcollectiongenerator" with the" \ + ".qhcp project file in $(BUILDDIR)/qthelp, like this:" + @echo "# qcollectiongenerator $(BUILDDIR)/qthelp/climt.qhcp" + @echo "To view the help file:" + @echo "# assistant -collectionFile $(BUILDDIR)/qthelp/climt.qhc" + +devhelp: + $(SPHINXBUILD) -b devhelp $(ALLSPHINXOPTS) $(BUILDDIR)/devhelp + @echo + @echo "Build finished." + @echo "To view the help file:" + @echo "# mkdir -p $$HOME/.local/share/devhelp/climt" + @echo "# ln -s $(BUILDDIR)/devhelp $$HOME/.local/share/devhelp/climt" + @echo "# devhelp" + +epub: + $(SPHINXBUILD) -b epub $(ALLSPHINXOPTS) $(BUILDDIR)/epub + @echo + @echo "Build finished. The epub file is in $(BUILDDIR)/epub." + +latex: + $(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) $(BUILDDIR)/latex + @echo + @echo "Build finished; the LaTeX files are in $(BUILDDIR)/latex." + @echo "Run \`make' in that directory to run these through (pdf)latex" \ + "(use \`make latexpdf' here to do that automatically)." + +latexpdf: + $(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) $(BUILDDIR)/latex + @echo "Running LaTeX files through pdflatex..." + $(MAKE) -C $(BUILDDIR)/latex all-pdf + @echo "pdflatex finished; the PDF files are in $(BUILDDIR)/latex." + +latexpdfja: + $(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) $(BUILDDIR)/latex + @echo "Running LaTeX files through platex and dvipdfmx..." + $(MAKE) -C $(BUILDDIR)/latex all-pdf-ja + @echo "pdflatex finished; the PDF files are in $(BUILDDIR)/latex." + +text: + $(SPHINXBUILD) -b text $(ALLSPHINXOPTS) $(BUILDDIR)/text + @echo + @echo "Build finished. The text files are in $(BUILDDIR)/text." + +man: + $(SPHINXBUILD) -b man $(ALLSPHINXOPTS) $(BUILDDIR)/man + @echo + @echo "Build finished. The manual pages are in $(BUILDDIR)/man." + +texinfo: + $(SPHINXBUILD) -b texinfo $(ALLSPHINXOPTS) $(BUILDDIR)/texinfo + @echo + @echo "Build finished. The Texinfo files are in $(BUILDDIR)/texinfo." + @echo "Run \`make' in that directory to run these through makeinfo" \ + "(use \`make info' here to do that automatically)." + +info: + $(SPHINXBUILD) -b texinfo $(ALLSPHINXOPTS) $(BUILDDIR)/texinfo + @echo "Running Texinfo files through makeinfo..." + make -C $(BUILDDIR)/texinfo info + @echo "makeinfo finished; the Info files are in $(BUILDDIR)/texinfo." + +gettext: + $(SPHINXBUILD) -b gettext $(I18NSPHINXOPTS) $(BUILDDIR)/locale + @echo + @echo "Build finished. The message catalogs are in $(BUILDDIR)/locale." + +changes: + $(SPHINXBUILD) -b changes $(ALLSPHINXOPTS) $(BUILDDIR)/changes + @echo + @echo "The overview file is in $(BUILDDIR)/changes." + +linkcheck: + $(SPHINXBUILD) -b linkcheck $(ALLSPHINXOPTS) $(BUILDDIR)/linkcheck + @echo + @echo "Link check complete; look for any errors in the above output " \ + "or in $(BUILDDIR)/linkcheck/output.txt." + +doctest: + $(SPHINXBUILD) -b doctest $(ALLSPHINXOPTS) $(BUILDDIR)/doctest + @echo "Testing of doctests in the sources finished, look at the " \ + "results in $(BUILDDIR)/doctest/output.txt." + +xml: + $(SPHINXBUILD) -b xml $(ALLSPHINXOPTS) $(BUILDDIR)/xml + @echo + @echo "Build finished. The XML files are in $(BUILDDIR)/xml." + +pseudoxml: + $(SPHINXBUILD) -b pseudoxml $(ALLSPHINXOPTS) $(BUILDDIR)/pseudoxml + @echo + @echo "Build finished. The pseudo-XML files are in $(BUILDDIR)/pseudoxml." diff --git a/docs/authors.rst b/docs/authors.rst new file mode 100644 index 0000000..e122f91 --- /dev/null +++ b/docs/authors.rst @@ -0,0 +1 @@ +.. include:: ../AUTHORS.rst diff --git a/docs/changelog.md b/docs/changelog.md deleted file mode 100644 index 4b2e324..0000000 --- a/docs/changelog.md +++ /dev/null @@ -1,11 +0,0 @@ -# Changelog - -## v0.1.37 - Date - -**Improvement**: - -- TBD - -**New Features**: - -- TBD diff --git a/docs/climt.rst b/docs/climt.rst new file mode 100644 index 0000000..4dc640a --- /dev/null +++ b/docs/climt.rst @@ -0,0 +1,10 @@ +climt package +============= + +Module contents +--------------- + +.. automodule:: climt + :members: + :undoc-members: + :show-inheritance: diff --git a/docs/climt_core.md b/docs/climt_core.md deleted file mode 100644 index 4948c23..0000000 --- a/docs/climt_core.md +++ /dev/null @@ -1,4 +0,0 @@ - -# gfs_dynamical_core module - -::: gfs_dynamical_core.gfs_dynamical_core \ No newline 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Default is the same as +# html_title. +#html_short_title = None + +# The name of an image file (relative to this directory) to place at the +# top of the sidebar. +#html_logo = None + +# The name of an image file (within the static path) to use as favicon +# of the docs. This file should be a Windows icon file (.ico) being +# 16x16 or 32x32 pixels large. +#html_favicon = None + +# Add any paths that contain custom static files (such as style sheets) +# here, relative to this directory. They are copied after the builtin +# static files, so a file named "default.css" will overwrite the builtin +# "default.css". +html_static_path = ['_static'] + +# If not '', a 'Last updated on:' timestamp is inserted at every page +# bottom, using the given strftime format. +#html_last_updated_fmt = '%b %d, %Y' + +# If true, SmartyPants will be used to convert quotes and dashes to +# typographically correct entities. +#html_use_smartypants = True + +# Custom sidebar templates, maps document names to template names. +#html_sidebars = {} + +# Additional templates that should be rendered to pages, maps page names +# to template names. +#html_additional_pages = {} + +# If false, no module index is generated. +html_domain_indices = True + +# If false, no index is generated. +#html_use_index = True + +# If true, the index is split into individual pages for each letter. +#html_split_index = False + +# If true, links to the reST sources are added to the pages. +#html_show_sourcelink = True + +# If true, "Created using Sphinx" is shown in the HTML footer. +# Default is True. +#html_show_sphinx = True + +# If true, "(C) Copyright ..." is shown in the HTML footer. +# Default is True. +#html_show_copyright = True + +# If true, an OpenSearch description file will be output, and all pages +# will contain a tag referring to it. The value of this option +# must be the base URL from which the finished HTML is served. +#html_use_opensearch = '' + +# This is the file name suffix for HTML files (e.g. ".xhtml"). +#html_file_suffix = None + +# Output file base name for HTML help builder. +htmlhelp_basename = 'climtdoc' + + +# -- Options for LaTeX output ------------------------------------------ + +latex_elements = { + # The paper size ('letterpaper' or 'a4paper'). + #'papersize': 'letterpaper', + + # The font size ('10pt', '11pt' or '12pt'). + #'pointsize': '10pt', + + # Additional stuff for the LaTeX preamble. + #'preamble': '', +} + +# Grouping the document tree into LaTeX files. List of tuples +# (source start file, target name, title, author, documentclass +# [howto/manual]). +latex_documents = [ + ('index', 'climt.tex', + u'climt Documentation', + u'Rodrigo Caballero', 'manual'), +] + +# The name of an image file (relative to this directory) to place at +# the top of the title page. +#latex_logo = None + +# For "manual" documents, if this is true, then toplevel headings +# are parts, not chapters. +#latex_use_parts = False + +# If true, show page references after internal links. +#latex_show_pagerefs = False + +# If true, show URL addresses after external links. +#latex_show_urls = False + +# Documents to append as an appendix to all manuals. +#latex_appendices = [] + +# If false, no module index is generated. +latex_domain_indices = True + + +# -- Options for manual page output ------------------------------------ + +# One entry per manual page. List of tuples +# (source start file, name, description, authors, manual section). +man_pages = [ + ('index', 'climt', + u'climt Documentation', + [u'Rodrigo Caballero'], 1) +] + +# If true, show URL addresses after external links. +#man_show_urls = False + + +# -- Options for Texinfo output ---------------------------------------- + +# Grouping the document tree into Texinfo files. List of tuples +# (source start file, target name, title, author, +# dir menu entry, description, category) +texinfo_documents = [ + ('index', 'climt', + u'climt Documentation', + u'Rodrigo Caballero', + 'climt', + 'climt is a Toolkit for building Earth system models in Python.', + 'Miscellaneous'), +] + +# Documents to append as an appendix to all manuals. +#texinfo_appendices = [] + +# If false, no module index is generated. +#texinfo_domain_indices = True + +# How to display URL addresses: 'footnote', 'no', or 'inline'. +#texinfo_show_urls = 'footnote' + +# If true, do not generate a @detailmenu in the "Top" node's menu. +#texinfo_no_detailmenu = False diff --git a/docs/configuration.rst b/docs/configuration.rst new file mode 100644 index 0000000..35bfcd0 --- /dev/null +++ b/docs/configuration.rst @@ -0,0 +1,107 @@ +.. highlight:: python + +========================= +Configuring climt +========================= + +A typical climate model allows the user the following +kinds of configuration: + +* Algorithmic Configuration: Changing the "tuning" parameters + of the algorithms underlying various components. For example, + the kind of advection used in a dynamical core could be configured. +* Memory/Array Configuration: Deciding the grid shapes, and distribution + over multiple processors, if using MPI. +* "Physical" Configuration: Choosing the physical constants that are used + during the simulation. For example, gravitational acceleration or planetary + rotation rate could be varied. +* Behavioural Configuration: Allows modification of component behaviour. For example, + radiative transfer components are called only once every N (>> 1) time steps and the + output is kept constant for the remaining N-1 time steps. +* Compositional Configuration: Describing the components that make up the model, the order + in which components need to be called, among other things. + +Climate models can be configured in many ways, including hard coded configurations, namelists, +shell environment variables. These diverse ways of configuring a climate model make it difficult +to keep track of all configurations and changes made. + +climt aims to keep all configuration in the main run script, but separated logically to ensure +the script is still intuitive to read. + +Algorithmic Configuration +-------------------------- + +Configuring the algorithm used by each component is done by various keyword arguments passed +to the component while creating it. See, for example, the documentation for +:py:mod:`climt.RRTMGShortwave`. + +Memory/Array Configuration +-------------------------- + +climt does not yet support MPI, so there is no API yet to handle distributed arrays. +However, the shape of arrays used by a model can be set while calling +:py:func:`climt.get_default_state`. See, for example, the configuration of arrays in a +`GCM`_. + +Physical Configuration +---------------------- + +climt provides an interface to set and reset constants +required by various components. The constants are put into different categories (:py:data:`boltzmann_constant` +is a 'physical constant' whereas :py:data:`planetary_rotation_rate` is a 'planetary constant', for example). + +The constants can be reset to their default values so that climt is in a known state at the end of +a simulation. In the future, climt will provide a context manager to clean up modified constants +at the end of a run. + +You can read more about this functionality in :ref:`utility_functions`. + +Interfacial Configuration +-------------------------- + +Wrappers are the preferred way of changing the inputs or outputs of a component to make +it apparently work in a different way. + +* Piecewise constant output: Computationally expensive modules like radiative transfer + are sometimes called only once every few timesteps, and the same values is used for + the intermediate timesteps of a model. For example a GCM with a time step of 10 minutes + might only call radiation after 1 hour of model time has elapsed. To allow for such + behaviour, :py:class:`sympl.UpdateFrequencyWrapper` can be used. + See how this can be used practically in this `example`_. + +* TendencyComponent version: Spectral dynamical cores step the model forward in spectral space, + and therefore, they do not play well with :py:mod:`Stepper` + components that step forward the model in grid space. Typically, this is handled by + finite differencing the output of Stepper components and providing them as time tendencies. + :py:mod:`Stepper` components can be wrapped with :py:class:`sympl.TimeDifferencingWrapper` which + returns a component which provides the + time differenced tendencies. The time differencing is done using a first order scheme: + + :math:`\frac{dX}{dt} = (X_{out} - X_{in})/\delta t`. + + See how this is used in the `Grey GCM`_. + +* Scaled version: Very often, we perform experiments where we want to study the sensitivity of the simulation + to a particular quantity or the effect of a certain quantity on the output (mechanism denial). + This is in some instances done by scaling the quantity or setting it to zero (which + is also a scaling). To allow for this kind of modification, :py:class:`sympl.ScalingWrapper` can be used. This is a method + available to all kinds of components (Stepper, TendencyComponent, etc.,). See the documentation for this + method in the description of the base components in :ref:`component_list`. + +Compositional Configuration +---------------------------- + +This kind of configuration will allow the automatic building of models given certain +components selected by the user. +Currently, the user has to write the script to build the model and run it. It is clear that +a lot of this code is repetitive and can be replaced by an entity (Which will be called +:py:mod:`Federation`). + +.. note:: + This functionality is currently unavailble, and will be present in a future version of climt. + + + +.. _GCM: https://github.com/CliMT/climt/blob/a69a23fc2470cc516a41c057976bb3d31ac6f0d7/examples/grey_gcm.py#L56-L59 +.. _example: https://github.com/CliMT/climt/blob/a69a23fc2470cc516a41c057976bb3d31ac6f0d7/examples/full_radiation_gcm_energy_balanced.py#L61 +.. _Grey GCM: https://github.com/CliMT/climt/blob/a69a23fc2470cc516a41c057976bb3d31ac6f0d7/examples/grey_gcm.py#L48 diff --git a/docs/contributing.md b/docs/contributing.md deleted file mode 100644 index f1f9e37..0000000 --- a/docs/contributing.md +++ /dev/null @@ -1,108 +0,0 @@ - diff --git a/docs/contributing.rst b/docs/contributing.rst new file mode 100644 index 0000000..e582053 --- /dev/null +++ b/docs/contributing.rst @@ -0,0 +1 @@ +.. include:: ../CONTRIBUTING.rst diff --git a/docs/faq.md b/docs/faq.md deleted file mode 100644 index 4514b4c..0000000 --- a/docs/faq.md +++ /dev/null @@ -1 +0,0 @@ -# FAQ diff --git a/docs/history.rst b/docs/history.rst new file mode 100644 index 0000000..2506499 --- /dev/null +++ b/docs/history.rst @@ -0,0 +1 @@ +.. include:: ../HISTORY.rst diff --git a/docs/ice_cloud_optical_depth.png b/docs/ice_cloud_optical_depth.png new file mode 100644 index 0000000000000000000000000000000000000000..59c3245b23de46798baf6fcb55ed55483278bc0d GIT binary patch literal 93977 zcmeFZWmHvb`!_lTM3e>rB?Uo{Mi5XWR6xO?LsCGI?oO2k0cnt4m>}IqNtYlf-QC@N zuIc{2=N;pWaXy~&>Gc`z&BI=6%{lM5u3z0NK>q0i!VA@%g=2e9Mi~$OxZ%Cftk61R>T#|DO3O{>2!6dCN{p-A>8U(9TiM z<|SgTXJ=(*X=i4vf5qXYjjgez#g!Y}@ITHgMs{{qw|RK}_Y1f!ZC>&CCjZ4pkSmCc z;1ob8EYoFFBA%NhqADKWkloQ|fGH8)r;Q`N|_>4UK0bc}Mnt3NnN& zd$!A73Z1Rsjx(Q$K8(iTeZah?vA}!FL~wYcZFl#aV+enH&FkvdmAW0Zn{5f3w?;SP zNKM2xhnX3@5z_zuM9Jtaf%KlxtV3&GRwq@IA#_8VPs;$P`{HB_;2lo`KU{hlah+g933A|C+#fuW^0PjrJrG9 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z&#nVbfFw=Ez_@c*1+zfg4N}Ig@gc$nso*OI!PlNqQ}cyNm0VhSa2et=N-o1-IoSH( z2M@kFhTq(*#9A=V;CgX4g|fvEi0hcTdT^7(v#Yv`+Kf`V*RL0XWrxEy6P0HyUPb!q znFEqMbf9&O`HhN6ZJ|&oop&Hxg!8!OToo6!Q9@GnX`5>?lf!a{oeBpilv4G?#Kd - - -**Only the dynamical core of the climt repository** - - -- Free software: BSD license -- Documentation: - -## Credits - -This package was created with [Cookiecutter](https://github.com/cookiecutter/cookiecutter) and the [giswqs/pypackage](https://github.com/giswqs/pypackage) project template. - diff --git a/docs/index.rst b/docs/index.rst new file mode 100644 index 0000000..fff6c85 --- /dev/null +++ b/docs/index.rst @@ -0,0 +1,51 @@ +Welcome to climt's documentation! +================================= + +.. figure:: climt_logo.jpg + :width: 1024px + :height: 1024px + :scale: 50% + :alt: climt logo + :align: center + + +climt (Climate Modelling and Diagnostics Toolkit) is a Python based library which provides a +modular and intuitive approach to writing numerical models of the climate system. climt provides +state-of-the art components and an easy-to-use interface to allow writing research quality models +without the hassle of modifying Fortran code. + +The modular nature of climt allows re-use of model code, allowing users to build progressively +complicated models without having to rewrite the same code at each level of complexity. + +climt uses `sympl`_ for its modelling infrastructure, making climt components and model scripts highly readable +and self-documenting. + +.. _sympl: + https://sympl.readthedocs.io + +Contents: + +.. toctree:: + :maxdepth: 2 + + introduction + installation + quickstart + interaction + realistic + component_types + configuration + components + component_manual + initialisation + utilities + contributing + authors + history + +Indices and tables +================== + +* :ref:`genindex` +* :ref:`modindex` +* :ref:`search` diff --git a/docs/initialisation.rst b/docs/initialisation.rst new file mode 100644 index 0000000..d7c7342 --- /dev/null +++ b/docs/initialisation.rst @@ -0,0 +1,11 @@ +.. currentmodule:: climt + +=============== +Initialisation +=============== + +.. autosummary:: + :toctree: generated/ + + get_default_state + get_grid diff --git a/docs/installation.md b/docs/installation.md deleted file mode 100644 index de46626..0000000 --- a/docs/installation.md +++ /dev/null @@ -1,23 +0,0 @@ -# Installation - -## Stable release - -To install gfs_dynamical_core, run this command in your terminal: - -``` -pip install gfs_dynamical_core -``` - -This is the preferred method to install gfs_dynamical_core, as it will always install the most recent stable release. - -If you don't have [pip](https://pip.pypa.io) installed, this [Python installation guide](http://docs.python-guide.org/en/latest/starting/installation/) can guide you through the process. - -## From sources - -The sources for gfs_dynamical_core can be downloaded from the Github repo. - -You can clone the public repository: - -``` -git clone git://github.com/Ai33L/gfs_dynamical_core -``` diff --git a/docs/installation.rst b/docs/installation.rst new file mode 100644 index 0000000..a3d1a8f --- /dev/null +++ b/docs/installation.rst @@ -0,0 +1,99 @@ +.. highlight:: shell + +============ +Installation +============ + +Stable release +-------------- + +You can install climt by simply typing + +.. code-block:: console + + $ pip install climt + +This is the preferred method to install climt, as it will always install the most recent stable release. +On Ubuntu Linux, you might need to prefix the above command with :code:`sudo`. This command should +work on Linux, Mac and Windows. For Mac and Windows, it is recommended to use the `anaconda`_ python +distribution to make installation simpler. + +.. NOTE:: + If you are not using Anaconda, please ensure you have the libpython library installed. + See the next section for instructions to install libpython. + +Since by default pip attempts to install a binary wheel, you won't need a compiler on your system. + +If you don't have `pip`_ installed, this `Python installation guide`_ can guide +you through the process. + +Installing from source +---------------------- + +The sources for climt can be downloaded from the `Github repo`_. + +You can either clone the public repository: + +.. code-block:: console + + $ git clone git://github.com/CliMT/climt + +Or download the `tarball`_: + +.. code-block:: console + + $ curl -OL https://github.com/CliMT/climt/tarball/master + + +Once you have a copy of the source, you can install it with: + +.. code-block:: console + + $ pip install -r requirements_dev.txt + $ python setup.py install + +Both commands may require the use of :code:`sudo`. + +Dependencies for source installations +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +climt depends on some easily installable libraries. For +an installation from source, it also requires that C and fortran +compilers be installed. + +On Ubuntu Linux, for example, these dependencies can be +installed by: + +.. code-block:: console + + $ sudo apt-get install gcc + $ sudo apt-get install gfortran + $ sudo apt-get install python-dev + $ sudo pip install -U cython + $ sudo pip install -U numpy + +use :code:`pip3` and :code:`python3-dev` if you use Python 3. + +On Mac OSX, it is recommended that you use `anaconda`_ as your python distribution. +This will eliminate the need to install cython, numpy and python-dev. +Once you have anaconda installed, you will need to do the following: + +.. code-block:: console + + $ brew install gcc + $ export CC=gcc-x + $ export FC=gfortran-x + +Where :code:`gcc-x,gfortran-x` are the names of the C,Fortran compilers that Homebrew installs. +Exporting the name of the compiler is essential on Mac since the +default compiler that ships with Mac (called :code:`gcc`, but is actually a +different compiler) cannot +compile OpenMP programs, like the dynamical core in climt. + + +.. _Homebrew: https://brew.sh/ +.. _pip: https://pip.pypa.io +.. _Python installation guide: http://docs.python-guide.org/en/latest/starting/installation/ +.. _Github repo: https://github.com/climt/climt +.. _tarball: https://github.com/CliMT/climt/tarball/master +.. _anaconda: https://www.continuum.io/downloads diff --git a/docs/interaction.rst b/docs/interaction.rst new file mode 100644 index 0000000..e4077c1 --- /dev/null +++ b/docs/interaction.rst @@ -0,0 +1,173 @@ +.. highlight:: python + +====================== +Interacting with climt +====================== + +As we saw in the Quickstart section, climt has two +kinds of entities for the user to interact with: +model components and model state. Here, we will take +a closer look at both these elements. + +Model State +------------ + +The model state is a dictionary whose keys are names of +quantities and values are `sympl`_ DataArrays. The `sympl`_ DataArray is +a thin wrapper over the `xarray`_ DataArray that makes it units aware. To ensure +model scripts are readable not just by specialists, names +of quantities use the descriptive `CF Convention`_. Only +in the case where the CF Convention names are really +unwieldy, like :code:`air_temperature_at_effective_cloud_top_defined_by_infrared_radiation` for +example, we use more convenient names. + +DataArrays are a more human-friendly way of handling numerical arrays. +DataArrays label the dimensions of an array and provide +various mathematical functions which can be directly +applied to arrays. `sympl`_ DataArrays in addition allow conversion +between units, a feature required to allow interoperability between +components which expect inputs in different units. + + +Let's create a 3-d model state to see how useful DataArrays are: + +.. ipython:: python + + import climt + import matplotlib.pyplot as plt + import numpy as np + + # Create some components + radiation = climt.GrayLongwaveRadiation() + convection = climt.DryConvectiveAdjustment() + +We need to tell climt what the model dimensions are. This is done +by the :code:`get_grid` function. This function takes three arguments +which are the number of grid points in the three directions, and +provides a state dictionary containing the definition of a grid. + +Passing this grid state dictionary onto :code:`get_default_state` makes +climt aware of the dimensions required by the model: + +.. ipython:: python + + grid = climt.get_grid(ny=3, nz=5) + + # Get a state dictionary filled with required quantities + # for the components to run + state = climt.get_default_state([radiation, convection], grid_state=grid) + + state['air_temperature'] + +climt **does not** interpret any of the dimension attributes in +state quantities other than :code:`units`. The values and labels of coordinates +are mainly for users and components. For instance, :py:class:`SimplePhysics` +requires that the y dimension be called :code:`latitude`. So, any +model that uses :py:class:`SimplePhysics` has to label one of the +dimensions as latitude. + +As you can see, :code:`air_temperature` has + +* a uniform value of 290 +* coordinates of latitude and mid_levels +* units of *degK*, which is the notation used in climt (and Sympl) for + *degrees Kelvin*. + +It is also fairly easy to change units. The :py:func:`.to_units()` method can +be used as below to return a DataArray with the equivalent temperature in degrees Farenheit: + +.. ipython:: python + + state['air_temperature'].to_units('degF') + + +.. note:: + + climt always names the vertical coordinate as :code:`mid_levels` or :code:`interface_levels`, + however, the state dictionary will contain a key corresponding to the name + of the vertical coordinate specified by :code:`get_grid`. + +As mentioned previously, DataArrays are a user-friendly way of handling numerical or numpy +arrays. The numpy array underlying any DataArray is easily accessed using the :code:`values` +attribute: + +.. ipython:: python + + type(state['air_temperature'].values) + +and can also be modified easily: + +.. ipython:: python + + state['air_temperature'].values[:] = 291 + +The right hand side can also be any numpy array, as long as it has the same dimensions (or can +be broadcasted to the same dimensions) as the +current numpy array. + +.. note:: + + It is recommended to use the syntax :code:`...values[:] = ...` rather than :code:`...values = + ...`, as the former modifies the numpy array in-place. In either case, DataArrays check to + ensure the dimensions (or shape) of the new data matches with the current dimensions. + +You can perform any of the functions `supported`_ by xarray on +the model state quantities. + +.. ipython:: python + + state['air_temperature'].sum() + + +You can also directly plot DataArrays: + +.. ipython:: python + + state['air_temperature'].plot() + +DataArrays are a very powerful way of dealing with array-oriented data, and +you should read more about `xarray`_, and not just for using climt! + +Model Components +----------------- + +Components are representations of physical processes. You can see +all available components in climt in the section :ref:`component_list`. + +All components take some inputs from the model state, and return **outputs** or +**tendencies** along with diagnostics (if any). + +Diagnostics are quantities computed while calculating **outputs** or **tendencies**. +For example, a radiation component calculates heating rates. However, in the process +of calculating these heating rates, it also calculates the radiative flux at each +interface level. + +.. ipython:: python + + # These are the tendencies returned by radiation + radiation.tendency_properties + + # These are the diagnostics returned by radiation + radiation.diagnostic_properties + + # These are the outputs returned by convection + convection.output_properties + + # convection returns no diagnostics + convection.diagnostic_properties + +No component will return **both** outputs and tendencies. The +tendency of a quantity :math:`X` is given by :math:`\frac{dX}{dt}`, and so +the units of a quantity returned as a tendency will always have per second +as as suffix: i.e, if a component is returning :code:`air_temperature` as +a tendency, then its units will be :code:`degK/s`. + + + +.. _xarray: http://xarray.pydata.org + +.. _sympl: http://sympl.readthedocs.io + +.. _supported: http://xarray.pydata.org/en/stable/computation.html + +.. _CF Convention: http://cfconventions.org/Data/cf-standard-names/41/build/cf-standard-name-table.html diff --git a/docs/introduction.rst b/docs/introduction.rst new file mode 100644 index 0000000..f184391 --- /dev/null +++ b/docs/introduction.rst @@ -0,0 +1,24 @@ +.. highlight:: python + +============= +Introduction +============= + +climt (pronounced *klimt*) is an attempt to build a climate modelling +infrastructure that is easy to use, easy to understand and easy to learn. + +Most climate model components are written in fortran for performance reasons. +For that very reason, it is difficult to change model configurations and +behaviour easily, which is something scientists tend to do all the time during +their research. The earth-science community is converging towards Python as the +language of choice for data analysis tasks, thanks to Python's flexibility and +emphasis on clean, readable code. climt aims to use Python for climate modelling +for these very reasons -- clearly documented components, self documenting +model scripts, and a flexible configuration system will make climate modelling more +reproducible and make the learning curve less steep. + +climt is aimed at a wide spectrum of users -- from students who are curious to learn +about the climate system to researchers who want state-of-the-art components. climt +aims to provide multiple levels of abstraction which will allow the user to tradeoff +ease of use vs. flexibility, depending on their particular needs and experience in +modelling and Python programming. diff --git a/docs/liquid_cloud_optical_depth.png b/docs/liquid_cloud_optical_depth.png new file mode 100644 index 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message catalogs + echo. changes to make an overview over all changed/added/deprecated items + echo. xml to make Docutils-native XML files + echo. pseudoxml to make pseudoxml-XML files for display purposes + echo. linkcheck to check all external links for integrity + echo. doctest to run all doctests embedded in the documentation if enabled + goto end +) + +if "%1" == "clean" ( + for /d %%i in (%BUILDDIR%\*) do rmdir /q /s %%i + del /q /s %BUILDDIR%\* + goto end +) + + +%SPHINXBUILD% 2> nul +if errorlevel 9009 ( + echo. + echo.The 'sphinx-build' command was not found. Make sure you have Sphinx + echo.installed, then set the SPHINXBUILD environment variable to point + echo.to the full path of the 'sphinx-build' executable. Alternatively you + echo.may add the Sphinx directory to PATH. + echo. + echo.If you don't have Sphinx installed, grab it from + echo.http://sphinx-doc.org/ + exit /b 1 +) + +if "%1" == "html" ( + %SPHINXBUILD% -b html %ALLSPHINXOPTS% %BUILDDIR%/html + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The HTML pages are in %BUILDDIR%/html. + goto end +) + +if "%1" == "dirhtml" ( + %SPHINXBUILD% -b dirhtml %ALLSPHINXOPTS% %BUILDDIR%/dirhtml + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The HTML pages are in %BUILDDIR%/dirhtml. + goto end +) + +if "%1" == "singlehtml" ( + %SPHINXBUILD% -b singlehtml %ALLSPHINXOPTS% %BUILDDIR%/singlehtml + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The HTML pages are in %BUILDDIR%/singlehtml. + goto end +) + +if "%1" == "pickle" ( + %SPHINXBUILD% -b pickle %ALLSPHINXOPTS% %BUILDDIR%/pickle + if errorlevel 1 exit /b 1 + echo. + echo.Build finished; now you can process the pickle files. + goto end +) + +if "%1" == "json" ( + %SPHINXBUILD% -b json %ALLSPHINXOPTS% %BUILDDIR%/json + if errorlevel 1 exit /b 1 + echo. + echo.Build finished; now you can process the JSON files. + goto end +) + +if "%1" == "htmlhelp" ( + %SPHINXBUILD% -b htmlhelp %ALLSPHINXOPTS% %BUILDDIR%/htmlhelp + if errorlevel 1 exit /b 1 + echo. + echo.Build finished; now you can run HTML Help Workshop with the ^ +.hhp project file in %BUILDDIR%/htmlhelp. + goto end +) + +if "%1" == "qthelp" ( + %SPHINXBUILD% -b qthelp %ALLSPHINXOPTS% %BUILDDIR%/qthelp + if errorlevel 1 exit /b 1 + echo. + echo.Build finished; now you can run "qcollectiongenerator" with the ^ +.qhcp project file in %BUILDDIR%/qthelp, like this: + echo.^> qcollectiongenerator %BUILDDIR%\qthelp\climt.qhcp + echo.To view the help file: + echo.^> assistant -collectionFile %BUILDDIR%\qthelp\climt.ghc + goto end +) + +if "%1" == "devhelp" ( + %SPHINXBUILD% -b devhelp %ALLSPHINXOPTS% %BUILDDIR%/devhelp + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. + goto end +) + +if "%1" == "epub" ( + %SPHINXBUILD% -b epub %ALLSPHINXOPTS% %BUILDDIR%/epub + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The epub file is in %BUILDDIR%/epub. + goto end +) + +if "%1" == "latex" ( + %SPHINXBUILD% -b latex %ALLSPHINXOPTS% %BUILDDIR%/latex + if errorlevel 1 exit /b 1 + echo. + echo.Build finished; the LaTeX files are in %BUILDDIR%/latex. + goto end +) + +if "%1" == "latexpdf" ( + %SPHINXBUILD% -b latex %ALLSPHINXOPTS% %BUILDDIR%/latex + cd %BUILDDIR%/latex + make all-pdf + cd %BUILDDIR%/.. + echo. + echo.Build finished; the PDF files are in %BUILDDIR%/latex. + goto end +) + +if "%1" == "latexpdfja" ( + %SPHINXBUILD% -b latex %ALLSPHINXOPTS% %BUILDDIR%/latex + cd %BUILDDIR%/latex + make all-pdf-ja + cd %BUILDDIR%/.. + echo. + echo.Build finished; the PDF files are in %BUILDDIR%/latex. + goto end +) + +if "%1" == "text" ( + %SPHINXBUILD% -b text %ALLSPHINXOPTS% %BUILDDIR%/text + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The text files are in %BUILDDIR%/text. + goto end +) + +if "%1" == "man" ( + %SPHINXBUILD% -b man %ALLSPHINXOPTS% %BUILDDIR%/man + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The manual pages are in %BUILDDIR%/man. + goto end +) + +if "%1" == "texinfo" ( + %SPHINXBUILD% -b texinfo %ALLSPHINXOPTS% %BUILDDIR%/texinfo + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The Texinfo files are in %BUILDDIR%/texinfo. + goto end +) + +if "%1" == "gettext" ( + %SPHINXBUILD% -b gettext %I18NSPHINXOPTS% %BUILDDIR%/locale + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The message catalogs are in %BUILDDIR%/locale. + goto end +) + +if "%1" == "changes" ( + %SPHINXBUILD% -b changes %ALLSPHINXOPTS% %BUILDDIR%/changes + if errorlevel 1 exit /b 1 + echo. + echo.The overview file is in %BUILDDIR%/changes. + goto end +) + +if "%1" == "linkcheck" ( + %SPHINXBUILD% -b linkcheck %ALLSPHINXOPTS% %BUILDDIR%/linkcheck + if errorlevel 1 exit /b 1 + echo. + echo.Link check complete; look for any errors in the above output ^ +or in %BUILDDIR%/linkcheck/output.txt. + goto end +) + +if "%1" == "doctest" ( + %SPHINXBUILD% -b doctest %ALLSPHINXOPTS% %BUILDDIR%/doctest + if errorlevel 1 exit /b 1 + echo. + echo.Testing of doctests in the sources finished, look at the ^ +results in %BUILDDIR%/doctest/output.txt. + goto end +) + +if "%1" == "xml" ( + %SPHINXBUILD% -b xml %ALLSPHINXOPTS% %BUILDDIR%/xml + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The XML files are in %BUILDDIR%/xml. + goto end +) + +if "%1" == "pseudoxml" ( + %SPHINXBUILD% -b pseudoxml %ALLSPHINXOPTS% %BUILDDIR%/pseudoxml + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The pseudo-XML files are in %BUILDDIR%/pseudoxml. + goto end +) + +:end diff --git a/docs/memory_management.rst b/docs/memory_management.rst new file mode 100644 index 0000000..77dfc25 --- /dev/null +++ b/docs/memory_management.rst @@ -0,0 +1,80 @@ +================= +Memory Management +================= + +Arrays +------ + +If possible, you should try to be aware of when there are two code references +to the same in-memory array. This can help avoid some common bugs. Let's start +with an example. Say you create a ConstantTendencyComponent object like so:: + + >>> import numpy as np + >>> from climt import ConstantTendencyComponent, DataArray + >>> array = DataArray( + np.ones((5, 5, 10)), + dims=('lon', 'lat', 'lev'), attrs={'units': 'K/s'}) + >>> tendencies = {'air_temperature': array} + >>> prognostic = ConstantTendencyComponent(tendencies) + +This is all fine so far. But it's important to know that now ``array`` is the +same array stored inside ``prognostic``:: + + >>> out_tendencies, out_diagnostics = prognostic({}) + >>> out_tendencies['air_temperature'] is array # same place in memory + True + +So if you were to modify ``array``, it would *change the output given by +prognostic*:: + + >>> array[:] = array[:] * 5. + >>> out_tendencies, out_diagnostics = prognostic({}) + >>> out_tendencies['air_temperature'] is array + True + >>> np.all(out_tendencies['air_temperature'].values == array.values) + True + +When in doubt, assume that any array you put into a component when it is +initialized should not be modified any more, unless changing the values in the +component is intentional. Below is some less (but potentially) useful +information for those interested. + +If instead of modifying ``array``, you make a new array for the python variable +``array`` to refer to, it doesn't modify the array in ``prognostic``:: + + >>> array = array * 5. + >>> out_tendencies, out_diagnostics = prognostic({}) + >>> out_tendencies['air_temperature'] is array + False + >>> np.all(out_tendencies['air_temperature'].values == array.values) + False + +This is because having the ``[:]`` on the left hand side of the assignment +operator ``\=`` tells python that you want to modify the existing memory of the +array on the left hand side. More precisely, having ``array =`` tells python +that you want to change what the variable ``array`` refers to, and set it to +be the thing on the right hand side, while ``array[:] =`` tells python to +call the ``__setitem__(key, value)`` method of ``array`` with the contents +of the square parentheses as the key and the right hand side as the value. + +Interestingly, ``array = array * 5.`` has different behavior from +``array *= 5.``. The first one will change what ``array`` refers to, as before, +while the second one will modify ``array`` in-place without changing the +reference. All similarly written operations (``-=``, ``+=``, ``/=``, etc.) are +in-place operations. When you want to avoid copying data, ``array *= 5.`` is +better since the values of the array will be modified where they already are +in memory, instead of allocating an entirely new array. + +Dictionaries +------------ + +Unlike arrays, the dictionary containers are copied when passed in. Copying +dictionaries is fairly cheap, since the new dictionary will still refer to the +same values (arrays) as before, and all that has to be copied is the key-value +pairs:: + + >>> tendencies['new_quantity'] = array + >>> out_tendencies, out_diagnostics = prognostic({}) + >>> 'new_quantity' in out_tendencies.keys() + False + diff --git a/docs/modules.rst b/docs/modules.rst new file mode 100644 index 0000000..c658f9f --- /dev/null +++ b/docs/modules.rst @@ -0,0 +1,7 @@ +climt +===== + +.. toctree:: + :maxdepth: 4 + + climt diff --git a/docs/naming.rst b/docs/naming.rst new file mode 100644 index 0000000..60e9907 --- /dev/null +++ b/docs/naming.rst @@ -0,0 +1,11 @@ +================= +Naming Quantities +================= + +* Any quantity that is on vertical interface levels should be + named using the form "_on_interface_levels", while quantities + on mid levels should not have anything appended to the variable name. + Quantities that do not specify "_on_interface_levels" are assumed to be on + mid levels. + This must be in the name rather than as an attribute so that the same + coordinate may be present on both half and full levels (with different names). diff --git a/docs/overrides/main.html b/docs/overrides/main.html deleted file mode 100644 index 702c96b..0000000 --- a/docs/overrides/main.html +++ /dev/null @@ -1,11 +0,0 @@ -{% extends "base.html" %} - -{% block content %} -{% if page.nb_url %} - - {% include ".icons/material/download.svg" %} - -{% endif %} - -{{ super() }} -{% endblock content %} diff --git a/docs/quickstart.rst b/docs/quickstart.rst new file mode 100644 index 0000000..04fddb2 --- /dev/null +++ b/docs/quickstart.rst @@ -0,0 +1,68 @@ +.. highlight:: python + +=========== +Quickstart +=========== + +Let us start with a simple climt model which is not very useful, +but helps illustrate how to use climt: + +.. ipython:: python + + import climt + + # Create some components + radiation = climt.GrayLongwaveRadiation() + + surface = climt.SlabSurface() + + # Get a state dictionary filled with required quantities + # for the components to run + state = climt.get_default_state([radiation, surface]) + + # Run components + tendencies, diagnostics = radiation(state) + + # See output + tendencies.keys() + tendencies['air_temperature'] + +Here, all the essential aspects of creating and running a model +in climt are present: + +* Import the :code:`climt` package + +* Create one or many components + +* Create a state dictionary using :code:`get_default_state` + +* Run the components + +* Do something with the output + +Variables :code:`radiation` and :code:`surface` are two components that we +create. All climt components take a lot of optional arguments: However, by +design, the default options (which are used if you don't specify any arguments) +are meant to be scientifically meaningful. + +The variables :code:`state`, :code:`tendencies` and +:code:`diagnostics` are dictionaries which contain quantities +which act either as inputs **to** components or outputs **from** components. + +The function :code:`get_default_state()`, if called only with a list of components, +will provide a set of quantities which represent +a single column of the atmosphere. These default values may or may not be +meaningful in your context, so it is best to see what they are and change them +according to your needs. + +.. note:: + The square brackets are required in the call to :code:`get_default_state`, even + if it is one component: :code:`climt.get_default_state([radiation])` is the + correct syntax. + +Building more sophisticated models and running them is merely an extended version +of the above simple example. climt makes heavy use of `Sympl`_, and knowledge of +Sympl is necessary to use climt to its full capabilities. So, do go through Sympl's +docs! + +.. _Sympl: http://sympl.readthedocs.io diff --git a/docs/readme.rst b/docs/readme.rst new file mode 100644 index 0000000..72a3355 --- /dev/null +++ b/docs/readme.rst @@ -0,0 +1 @@ +.. include:: ../README.rst diff --git a/docs/realistic.rst b/docs/realistic.rst new file mode 100644 index 0000000..6e24e9b --- /dev/null +++ b/docs/realistic.rst @@ -0,0 +1,82 @@ +.. highlight:: python + +================= +A Realistic Model +================= + +As mentioned before, climt includes some components +which returns the a new version of the model state, +and some which return just tendencies. + +Since tendencies by themselves are not useful for much +other than plotting, we need to couple them with numerical +integration components to march the model forward in time. +Again, we will use the grey radiation scheme as an example. + +The following script is used to obtain the temperature profile +of the atmosphere if no physical process other than radiation +(specifically, grey gas radiation in this example) are present. +The temperature profile obtained is called the **radiative equilibrium** +profile. + +As before, we will create the radiation component and the model state: + +.. ipython:: python + + import climt + import matplotlib.pyplot as plt + import numpy as np + # Two new imports + from sympl import AdamsBashforth + from datetime import timedelta + + # Create some components + radiation = climt.GrayLongwaveRadiation() + + # Get a state dictionary filled with required quantities + # for the components to run + state = climt.get_default_state([radiation]) + +We have two new imports, :code:`AdamsBashforth` and :code:`timedelta`. +The former is a numerical `integrator`_ which will step the model forward +in time, and the latter is a standard python module which will be used to represent +the time step of the model. + +Now, to create the integrator and the timestep: + +.. ipython:: python + + model_time_step = timedelta(hours=1) + model = AdamsBashforth([radiation]) + +We now have a model ready to run! The integrator will return the new model +state and any diagnostics that :code:`radiation` has generated. We can then +update the current model state with the new model state and continue to step +the model forward in time: + +.. ipython:: python + + for step in range(10): + diagnostics, new_state = model(state, model_time_step) + ''' Update state with diagnostics. + This updated state can be saved if necessary ''' + state.update(diagnostics) + '''Update state quantities''' + state.update(new_state) + '''Update model time''' + state['time'] += model_time_step + '''See if the maximum temperature is changing''' + print(state['time'], ': ', state['air_temperature'].max().values) + +And voila, we have a model that actually evolves over time! Many example +scripts that illustrate standard model configurations used in climate +modelling are available in the github `repository`_. These scripts include +examples which setup graphics to view the evolution of the model over time. + +.. note:: + A more user friendly API called :code:`Federation` will be available in + a later version of climt. However, setting up models is easy enough even + without :code:`Federation` once you get used to the workflow. + +.. _integrator: https://en.wikipedia.org/wiki/Linear_multistep_method +.. _repository: https://github.com/CliMT/climt/tree/master/examples diff --git a/docs/rrtmg_clouds.rst b/docs/rrtmg_clouds.rst new file mode 100644 index 0000000..f60c5a3 --- /dev/null +++ b/docs/rrtmg_clouds.rst @@ -0,0 +1,440 @@ +****************************************** +RRTMG - The Rapid Radiative Transfer Model +****************************************** + +============ +Introduction +============ + +Treatment of Clouds +=================== + +There are two methods in RRTMG, which handle clouds in different ways. + +McICA +----- + +McICA allows us to have fractional cloud areas, +by randomly assigning some wavelengths to see cloud +and other wavelengths to see no cloud. +For example if we have a cloud fraction of 40%, +then 40% of the wavelengths see cloud, while the other 60% +do not. + +nomcica +------- + +With nomcica, all of the wavelengths see some cloud. +Using this method for the shortwave we can only have cloud area fractions of +zero and one, representing clear and completely overcast skies. +On the other hand, if we are calculating longwave fluxes, we can also use +fractional cloud area fractions. + + +=============================== +Calculation of radiative fluxes +=============================== + +Longwave +======== + +Two properties are needed to calculate the longwave radiative fluxes; +the absorptivity (or transmittance which equals one minus the absorptivity) +and the emissivity. +Values of these two properties are needed for each model layer, +for both cloudy and clear sky regimes and for each waveband. + +.. code-block:: fortran + + radld = radld * (1 - atrans(lev)) * (1 - efclfrac(lev,ib)) + & + gassrc * (1 - cldfrac(lev)) + bbdtot * atot(lev) * cldfrac(lev) + +The radiative fluxes at each layer(``radld`` +on the left hand side of the equations) are calculated from the +radiative fluxes from the layer above (``radld`` +on the right hand side of the equation) and the properties of +the layer. +The first term in the equation above is fraction of radiative +flux from the layer above that is transmitted through the layer. +``atrans(lev)`` is the gaseous absorptivity and +``efclfrac`` is the absorptivity of the cloud weighted by the +cloud area fraction (`here for nomcica`_). +The other two terms in the above equation are emission terms. +The first of these represents emission from gases in the area of clear sky +and the second represents emission from gases and cloud from the area of cloud. +The equation for the upward longwave flux ``radlu`` is very similar: the flux +is calculated from the radiative flux from the layer below and the properties +of the layer. + +These equations are used with ``nomcica`` when the ``rrtmg_cloud_overlap_method`` +is set to ``random`` and the cloud area fraction is greater +than 10\ :sup:`-6`\. These calculations are in the ``rrtmg_lw_rtrn.f90`` file, +in the `downward radiative transfer loop`_ and +`upward radiative transfer loop`_ respectively. +These equations are also used with ``McICA``. In this case, ``efclfrac`` is either zero or the non-weighted +absorptivity of the cloud and this is allocated randomly to each waveband, +with the number of waveband receiving each depending on the cloud area fraction. +For ``McICA``, these calculations are in the ``rrtmg_lw_rtrnmc.f90`` file, in the +`downward loop`_ and `upward loop`_ respectively. +In both files, in the downward loop there are three different ways of calculating +the absorptivity, which use different approximations for the exponential of the +optical depth. The one that is used depends on the optical depth of the clear sky +and of the total sky. + +.. _`here for nomcica`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrn.f90#L307 +.. _`downward radiative transfer loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrn.f90#L350-L417 +.. _`upward radiative transfer loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrn.f90#L482-L485 +.. _`downward loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrnmc.f90#L339-L406 +.. _`upward loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrnmc.f90#L471-L474 + +With ``nomcica``, if the ``rrtmg_cloud_overlap_method`` is set to any of the +other options except ``random``, the ``rrtmg_lw_rtrnmr.f90`` file +is called. Then, the radiative fluxes are calculated as follows, `at the end of the +downward radiative transfer loop`_. + +.. code-block:: fortran + + cldradd = cldradd * (1._rb - atot(lev)) + cldfrac(lev) * bbdtot * atot(lev) + clrradd = clrradd * (1._rb-atrans(lev)) + (1._rb - cldfrac(lev)) * gassrc + radld = cldradd + clrradd + +The downward radiative flux is split into the clear sky and cloudy components, +``clrradd`` and ``cldradd`` respectively. +Both components contain a transmittance term from the clear or cloudy part, +respectively, of the layer above and an emission term. The emission terms are +identical to those described above. +The fluxes ``clrradd`` and ``cldradd`` are modified by an amount that depends on the change in +cloud fraction between layers before they are used for the calculation of fluxes +in the layer below. + +.. _`at the end of the downward radiative transfer loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrnmr.f90#L571-L575 + + +================= +Clouds with McICA +================= + +A brief description of the different options that can be used in RRTMG with McICA and the input parameters required in each case. + +Cloud properties +================ + +There are three options for the RRTMG ``inflag``, as given in the ``climt`` dictionary: rrtmg_cloud_props_dict_ + +.. _rrtmg_cloud_props_dict: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_components/rrtmg/rrtmg_common.py#L18-L22 + +.. code-block:: python + + rrtmg_cloud_props_dict = { + 'direct_input': 0, + 'single_cloud_type': 1, + 'liquid_and_ice_clouds': 2 + } + +With McICA, we cannot use ``single_cloud_type``, but can choose between ``direct_input`` and ``liquid_and_ice_clouds``. +If we choose ``direct_input``, we input the ``longwave_optical_thickness_due_to_cloud``, ``shortwave_optical_thickness_due_to_cloud``, as well as the shortwave parameters ``single_scattering_albedo_due_to_cloud``, ``cloud_asymmetry_parameter`` and ``cloud_forward_scattering_fraction``. +The ``cloud_forward_scattering_fraction`` is used to scale the other shortwave parameters (``shortwave_optical_thickness_due_to_cloud``, ``single_scattering_albedo_due_to_cloud`` and ``cloud_asymmetry_parameter``), but it is not directly used in the radiative transfer calculations. +If the ``cloud_forward_scattering_fraction`` is set to zero, no scaling is applied. +The other cloud properties, namely ``cloud_ice_particle_size`` and ``cloud_water_droplet_radius``, ``mass_content_of_cloud_ice_in_atmosphere_layer``, and ``mass_content_of_cloud_liquid_water_in_atmosphere_layer`` are completely unused. +The RRTMG ``iceflag`` and ``liqflag`` are irrelevant. + +On the other hand, if we choose ``liquid_and_ice_clouds``, +any input values for ``longwave_optical_thickness_due_to_cloud``, ``shortwave_optical_thickness_due_to_cloud``, ``single_scattering_albedo_due_to_cloud`` and ``cloud_asymmetry_parameter`` are irrelevant. +Instead, these parameters are calculated from the cloud ice and water droplet particle sizes (``cloud_ice_particle_size`` and ``cloud_water_droplet_radius``), as well as the cloud ice and water paths (``mass_content_of_cloud_ice_in_atmosphere_layer``, ``mass_content_of_cloud_liquid_water_in_atmosphere_layer``). +The methods used for the calculations depend on the cloud ice and water properties; ``iceflag`` and ``liqflag`` in RRTMG. + +Regardless of the other cloud input type, ``cloud_area_fraction_in_atmosphere_layer`` is required, +and is used in McICA to determine how much of the wavelength spectrum sees cloud and how much does not. + +Calculation of cloud properties +=============================== + +Longwave +-------- + +For the longwave, the only cloud property of interest for calculating radiative fluxes in RRTMG, is the optical depth. This is calculated at `the end of the longwave cldprmc submodule`_ as: + +.. code-block:: fortran + + taucmc(ig,lay) = ciwpmc(ig,lay) * abscoice(ig) + & + clwpmc(ig,lay) * abscoliq(ig) + +.. _`the end of the longwave cldprmc submodule`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_lw/rrtmg_lw_cldprmc.f90#L246-L247 + +Values of cloud optical depth ``taucmc`` are calculated for each model layer (pressure), ``lay``, and each g-interval, ``ig``. +The cloud ice and liquid absorption coefficients (``abscoice`` and ``abscoliq``) are multiplied by the cloud ice and liquid water paths (``ciwpmc`` and ``clwpmc``) respectively, to give the ice cloud optical depth and the liquid water cloud optical depth. +The cloud ice and liquid water paths are input by the user, in ``climt`` as ``mass_content_of_cloud_ice_in_atmosphere_layer`` and ``mass_content_of_cloud_liquid_water_in_atmosphere_layer`` respectively. +The cloud ice and liquid absorption coefficients are calculated based on the ice and liquid water particle sizes (specified by the user), and this calculation depends on the choice of ``iceflag`` and ``liqflag``. + +Shortwave +--------- + +For the shortwave, there are three cloud properties, which affect the radiative flux calculation in RRTMG, namely the optical depth, the single scattering albedo and the asymmetry parameter. + +The shortwave optical depth is calculated as: + +.. code-block:: fortran + + taucmc(ig,lay) = tauice + tauliq + +with + +.. code-block:: fortran + + tauice = (1 - forwice(ig) + ssacoice(ig)) * ciwpmc(ig,lay) * extcoice(ig) + tauliq = (1 - forwliq(ig) + ssacoliq(ig)) * clwpmc(ig,lay) * extcoliq(ig) + +The single scattering albedo is calculated as: + +.. code-block:: fortran + + ssacmc(ig,lay) = (scatice + scatliq) / taucmc(ig,lay) + +with + +.. code-block:: fortran + + scatice = ssacoice(ig) * (1._rb - forwice(ig)) / (1._rb - forwice(ig) * ssacoice(ig)) * tauice + scatliq = ssacoliq(ig) * (1._rb - forwliq(ig)) / (1._rb - forwliq(ig) * ssacoliq(ig)) * tauliq + + +The asymmetry parameter is given by: + +.. code-block:: fortran + + asmcmc(ig,lay) = 1.0_rb / (scatliq + scatice) * ( & + scatliq * (gliq(ig) - forwliq(ig)) / (1.0_rb - forwliq(ig)) + & + scatice * (gice(ig) - forwice(ig)) / (1.0_rb - forwice(ig)) ) + +The original RRTMG code for these calculations is at `the end of the shortwave cldprmc submodule`_. + +.. _`the end of the shortwave cldprmc submodule`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_sw/rrtmg_sw_cldprmc.f90#L297-L337 + +Values of optical depth, single scattering albedo and asymmetry parameter are calculated for each model layer (pressure), ``lay``, and each g-interval, ``ig``. The cloud ice and liquid water paths (``ciwpmc`` and ``clwpmc``) are input by the user. +The other parameters (``extcoice``, ``extcoliq``, ``ssacoice``, ``ssacoliq``, ``gice``, ``gliq``, ``forwice``, ``forwliq``) are calculated based on the ice and liquid water particle sizes and this calculation depends on the choice of ``iceflag`` and ``liqflag``. + +Cloud ice properties +==================== + +There are four options for the RRTMG ``iceflag``. These are given in the ``climt`` dictionary: rrtmg_cloud_ice_props_dict_ + +.. _rrtmg_cloud_ice_props_dict: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_components/rrtmg/rrtmg_common.py#L29-L34 + +.. code-block:: python + + rrtmg_cloud_ice_props_dict = { + 'ebert_curry_one': 0, + 'ebert_curry_two': 1, + 'key_streamer_manual': 2, + 'fu': 3 + } + + +ebert_curry_one +--------------- + +For the longwave, ``ebert_curry_one`` gives an absorption coefficient of + +``abscoice = 0.005 + 1.0 / radice`` + +Here, ``radice`` is the ice particle size and the absorption coefficient is the same for all wavebands. + +``ebert_curry_one`` should not be used for the shortwave component with McICA. + +ebert_curry_two +--------------- + +``ebert_curry_two`` is the default choice for cloud ice optical properties in ``climt``. +In this case, the longwave absorption coefficient is calculated in `the lw_cldprmc file`_ as follows. + +.. code-block:: fortran + + abscoice(ig) = absice1(1,ib) + absice1(2,ib)/radice + +.. _`the lw_cldprmc file`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_lw/rrtmg_lw_cldprmc.f90#L188-L193 + +The absorption coefficient ``abscoice`` is a function of g-interval ``ig`` and is made up of two contributions. +The first of these ``absice1(1, ib)`` comes from a look up table and is given in [m\ :sup:`2`\ / g]. +``ib`` provides an index for the look up table, based on the waveband of the g-interval. +``absice1(2,ib)`` also comes from a look up table and is given in [microns m\ :sup:`2`\ / g]. It is divided by ``radice``, the cloud ice particle size, providing an ice particle size dependence of the absorption coefficient. +Although the syntax does not emphasise it, the absorption coefficient may also depend on model layer (pressure), as ``radice`` can have model layer dependence. +``radice`` comes from the input property labeled ``cloud_ice_particle_size`` in ``climt``. +The ice particle size dependent term is more important than the independent term (``absice1(2,ib)/radice`` > ``absice1(1,ib)``) at all wavebands for ice particle sizes less than 88 microns. +Using ``ebert_curry_two``, the ice particle size must be in the range [13, 130] microns, and even for larger particle sizes (> 88), the ice particle size dependent term is more important than the independent term for four of the five wavebands. + +For the shortwave, the parameters (required for the optical depth, single scattering albedo and asymmetry) are calculated in `the sw_cldprmc file`_ as follows. + +.. _`the sw_cldprmc file`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_sw/rrtmg_sw_cldprmc.f90#L182-L208 + +.. code-block:: fortran + + extcoice(ig) = abari(icx) + bbari(icx)/radice + ssacoice(ig) = 1._rb - cbari(icx) - dbari(icx) * radice + gice(ig) = ebari(icx) + fbari(icx) * radice + forwice(ig) = gice(ig)*gice(ig) + +``abari``, ``bbari``, ``cbari``, ``dbari``, ``ebari`` and ``fbari`` are all look up tables, containing five values, which correspond to five different wavebands. +The choice of waveband is indicated by ``icx``. +The particle size dependence comes from ``radice``, so each parameter consists of both a size independent and a size dependent contribution. + +.. figure:: ./ice_cloud_optical_depth.png + + *The dependence of cloud optical depth* ``taucmc`` *on cloud ice particle size (with an ice water path of 1), with different lines representing the different wavebands.* + +key_streamer_manual +------------------- + +In this case, both the longwave absorption coefficient and three of the shortwave parameters (``excoice``, ``ssacoice``, ``gice``) are interpolated from look up tables. +Comments in the RRTMG code state that these look up tables are for a spherical ice particle parameterisation. +The look up tables contain 42 values for each of the 16 longwave and 14 shortwave wavebands. +The 42 values correspond to different ice particle radii, evenly spaced in the range [5, 131] microns. +Ice particles must be within this range, otherwise an error is thrown. + +The shortwave parameter ``forwice`` is calculated as the square of ``gice``. + +fu +-- + +The longwave absorption coefficient and shortwave parameters ``extcoice``, ``ssacoice`` and ``gice`` are interpolated from look up tables. +The look up tables differ to those in ``key_streamer_manual``, and +comments in the RRTMG code state that the look up tables for ``fu`` are for a hexagonal ice particle parameterisation. +The look up tables for ``fu`` are slightly larger than those for ``key_streamer_manual``, and the range of allowed values for the ice particle size is corresponding larger ([5, 140] microns). + +The shortwave parameter ``forwice`` is calculated from ``fdelta`` (again taken from look up tables) and ``ssacoice`` as follows. + +.. code-block:: fortran + + forwice(ig) = fdelta(ig) + 0.5_rb / ssacoice(ig) + +The longwave and shortwave parameter calculations can be found in the `longwave cldprmc`_ and `shortwave cldprmc`_ subroutines respectively. + +.. _`longwave cldprmc`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_lw/rrtmg_lw_cldprmc.f90#L211-L223 + +.. _`shortwave cldprmc`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_sw/rrtmg_sw_cldprmc.f90#L235-L262 + +Cloud liquid properties +======================= + +There are two options for the RRTMG ``liqflag``. These are given in the ``climt`` dictionary: rrtmg_cloud_liquid_props_dict_ + +.. _rrtmg_cloud_liquid_props_dict: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_components/rrtmg/rrtmg_common.py#L41-L44 + +.. code-block:: python + + rrtmg_cloud_liquid_props_dict = { + 'radius_independent_absorption': 0, + 'radius_dependent_absorption': 1 + } + + +For ``radius_independent_absorption``, the longwave absorption coefficient is 0.0903614 for all wavebands. +This option should not be used for the shortwave. + +``radius_dependent_absorption`` is the default choice for cloud liquid water properties in ``climt``. +In this case, the longwave absorption coefficient and the shortwave parameters ``extcoliq``, ``ssacoliq``, and ``gliq`` are interpolated from look up tables. +The look up tables have values for particle sizes in the range [2.5, 59.5] microns in 1 micron intervals (58 values) for each of the 16 longwave and 14 shortwave wavebands. +The shortwave parameter ``forwliq`` is calculated as the square of ``gliq``. + + +.. figure:: ./liquid_cloud_optical_depth.png + + *The dependence of cloud optical depth* ``taucmc`` *on cloud liquid water particle size (with a liquid water path of 1), with different lines representing the different wavebands.* + + +Cloud overlap method +==================== + +This is the RRTMG ``icld`` and is given in the climt dictionary: rrtmg_cloud_overlap_method_dict_ + +.. _rrtmg_cloud_overlap_method_dict: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_components/rrtmg/rrtmg_common.py#L6-L11 + +.. code-block:: python + + rrtmg_cloud_overlap_method_dict = { + 'clear_only': 0, + 'random': 1, + 'maximum_random': 2, + 'maximum': 3 + } + +If we choose ``clear_only``, there are no clouds, regardless of the other input. +If we choose ``random``, the g-intervals which see cloud are chosen randomly for +each model layer. This means that there is a dependence on vertical resolution: +if vertical resolution is increased, more layers contain the same cloud +and a larger portion of the wavelength spectrum sees some of the cloud. +With ``maximum_random``, the g-intervals that see cloud in one model layer are +the same as those that see cloud in a neighbouring model layer. +This maximises the cloud overlap between neighbouring layers (within a single +cloud). If the cloud area fraction changes between layers, the additional +g-intervals that see (or don't see) cloud are assigned randomly. Therefore, if +there are two clouds at different altitudes, separated by clear sky, the two +clouds overlap randomly with respect to each other. If ``maximum`` is selected, +cloud overlap is maximised both within and between clouds. + +The implementation is in the `mcica_subcol_gen_sw`_ and `mcica_subcol_gen_lw`_ +files, and consists firstly of assigning each g-interval a random number in the +range [0, 1]. For ``random``, and ``maximum_random`` (cases 1 and 2 in +`mcica_subcol_gen_sw`_ and `mcica_subcol_gen_lw`_), random numbers are generated +for each layer, whereas for ``maximum`` (case 3) only one set of random numbers +is generated and applied to all the layers. For ``maximum_random``, the random +numbers are recalculated to fulfill the assumption about overlap (this +recalculation is described below). +Whether a g-interval at a certain layer sees cloud depends on both the random +number it has been assigned and the cloud fraction at that layer. For example, +if the cloud area fraction is 30%, all g-intervals that have been assigned a +random number > 0.7 (approximately 30% of the g-intervals) will see cloud. +The other g-intervals will see clear-sky. If the cloud fraction is 20%, only +g-intervals with a random number > 0.8 will see cloud. +The recalculation of random numbers in the ``maximum_random`` case for a certain +model layer (layer 2), considers the assigned random numbers and cloud area +fraction of the layer above (layer 1). +If the g-interval sees cloud in layer 1, its random number in layer 2 is +changed so that it matches that in layer 1. This does not necessarily mean that +it will see cloud in layer 2, because the cloud fraction could be smaller in +layer 2 than layer 1 (so the requirement for seeing cloud would be increased). +The random numbers for the g-intervals in layer 2, which do not see cloud in +layer 1, are multiplied by one minus the cloud area fraction of layer 1, so that +the set of random numbers assigned to layer 2 are still randomly distributed in +the range [0, 1]. This is required so that the right proportion of g-intervals +in layer 2 see cloud. + +.. _mcica_subcol_gen_lw: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/mcica_subcol_gen_lw.f90#L347-L470 +.. _mcica_subcol_gen_sw: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_sw/mcica_subcol_gen_sw.f90#L374-L497 + +======================================= +Differences in cloud input with nomcica +======================================= + +Regarding the options that can be used with nomcica, +there are a few differences to those that can be used with McICA. + +Cloud properties +================ + +For the longwave, we can choose ``single_cloud_type`` in the `rrtmg_cloud_props_dict`_. +The longwave cloud optical depth is calculated as follows. + +.. code-block:: fortran + + taucloud(lay,ib) = abscld1 * (ciwp(lay) + clwp(lay)) + +This gives us a cloud optical depth based on a single constant value, ``abscld1`` +and the total cloud water path. +Thus, for this option, the ``mass_content_of_cloud_ice_in_atmosphere_layer``, and +``mass_content_of_cloud_liquid_water_in_atmosphere_layer`` are needed as input. +``single_cloud_type`` is not available for the shortwave. + +If we choose ``liquid_and_ice_clouds``, the calculations of the longwave and shortwave +optical properties from the cloud mass and particle sizes are the same as for McICA, +but are calculated for each waveband instead of each g-interval. + +Cloud overlap method +==================== + +With nomcica choosing a cloud overlap of ``random`` in the +`rrtmg_cloud_overlap_method_dict`_ is different to choosing either +``maximum_random`` or ``maximum``. The latter two options do not differ. +If we choose ``random``, the radiative flux transmitted from one layer to the next +does not care if it came from cloud or clear sky, +whereas with ``maximum_random``, the cloudy and clear fluxes are separated and +treated separately from one model layer to the next. diff --git a/docs/usage.md b/docs/usage.md deleted file mode 100644 index 50265c8..0000000 --- a/docs/usage.md +++ /dev/null @@ -1,7 +0,0 @@ -# Usage - -To use climt_core in a project: - -``` -import climt_core -``` diff --git a/docs/utilities.rst b/docs/utilities.rst new file mode 100644 index 0000000..c20b4fb --- /dev/null +++ b/docs/utilities.rst @@ -0,0 +1,27 @@ +.. _utility_functions: +.. currentmodule:: climt + +General Utilities +================== +This documents some utility functions available in :mod:`climt`. +Most of the constants functionality is inherited from :mod:`sympl`. + +Constants +---------- + +.. autosummary:: + :toctree: generated/ + + list_available_constants + set_constants_from_dict + +Miscellaneous +-------------- + +.. autosummary:: + :toctree: generated/ + + mass_to_volume_mixing_ratio + get_interface_values + + diff --git a/readthedocs.yml b/readthedocs.yml new file mode 100644 index 0000000..3c252a5 --- /dev/null +++ b/readthedocs.yml @@ -0,0 +1,6 @@ +build: + image: latest + +python: + version: 3.8 + setup_py_install: true From b3bcd1430c44be0202d3310ffca9dda12f31c4fb Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 12:54:51 +0530 Subject: [PATCH 04/30] try docs --- ...Description_of_SecondBEST-checkpoint.ipynb | 244 ---------- docs/Description_of_SecondBEST.ipynb | 281 ----------- docs/Implicit_Scheme_Derivation.ipynb | 387 --------------- docs/Makefile | 177 ------- docs/authors.rst | 1 - docs/climt.rst | 10 - docs/climt_logo.jpg | Bin 1519795 -> 0 bytes docs/component_manual.rst | 5 - docs/component_types.rst | 28 -- docs/components.rst | 87 ---- docs/conf.py | 292 ------------ docs/configuration.rst | 107 ----- docs/contributing.rst | 1 - docs/history.rst | 1 - docs/ice_cloud_optical_depth.png | Bin 93977 -> 0 bytes docs/index.rst | 51 -- docs/initialisation.rst | 11 - docs/installation.rst | 99 ---- docs/interaction.rst | 173 ------- docs/introduction.rst | 24 - docs/liquid_cloud_optical_depth.png | Bin 81725 -> 0 bytes docs/make.bat | 242 ---------- docs/memory_management.rst | 80 ---- docs/modules.rst | 7 - docs/naming.rst | 11 - docs/quickstart.rst | 68 --- docs/readme.rst | 1 - docs/realistic.rst | 82 ---- docs/rrtmg_clouds.rst | 440 ------------------ docs/utilities.rst | 27 -- 30 files changed, 2937 deletions(-) delete mode 100644 docs/.ipynb_checkpoints/Description_of_SecondBEST-checkpoint.ipynb delete mode 100644 docs/Description_of_SecondBEST.ipynb delete mode 100644 docs/Implicit_Scheme_Derivation.ipynb delete mode 100644 docs/Makefile delete mode 100644 docs/authors.rst delete mode 100644 docs/climt.rst delete mode 100644 docs/climt_logo.jpg delete mode 100644 docs/component_manual.rst delete mode 100644 docs/component_types.rst delete mode 100644 docs/components.rst delete mode 100644 docs/conf.py delete mode 100644 docs/configuration.rst delete mode 100644 docs/contributing.rst delete mode 100644 docs/history.rst delete mode 100644 docs/ice_cloud_optical_depth.png delete mode 100644 docs/index.rst delete mode 100644 docs/initialisation.rst delete mode 100644 docs/installation.rst delete mode 100644 docs/interaction.rst delete mode 100644 docs/introduction.rst delete mode 100644 docs/liquid_cloud_optical_depth.png delete mode 100644 docs/make.bat delete mode 100644 docs/memory_management.rst delete mode 100644 docs/modules.rst delete mode 100644 docs/naming.rst delete mode 100644 docs/quickstart.rst delete mode 100644 docs/readme.rst delete mode 100644 docs/realistic.rst delete mode 100644 docs/rrtmg_clouds.rst delete mode 100644 docs/utilities.rst diff --git a/docs/.ipynb_checkpoints/Description_of_SecondBEST-checkpoint.ipynb b/docs/.ipynb_checkpoints/Description_of_SecondBEST-checkpoint.ipynb deleted file mode 100644 index f2ff2d6..0000000 --- a/docs/.ipynb_checkpoints/Description_of_SecondBEST-checkpoint.ipynb +++ /dev/null @@ -1,244 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# SecondBEST\n", - "------------------\n", - "\n", - "`SecondBEST` is a simplified implementation of the Bare Essentials for Surface Transfer (BEST) land surface model. The main simplifications are that `SecondBEST` does not incorporate the effects of vegetation, which reduces a lot of calculations within BEST. We also assume each grid cell is either fully bare soil or snow/ice, i.e, there are no fractional land types. The implementation here follows the description in [Pitman et al.](http://www.geo.utexas.edu/climate/Research/Reprints/Pitman.BMRC.1991.pdf)\n", - "\n", - "This notebook is a ready reference to the equations used in `SecondBEST` so that interested users don't have to read the above reference if they don't wish to. However, if you plan on making heavy use of `SecondBEST`, you are encouraged to do so!" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Notation\n", - "\n", - "**Surface types**:\n", - "* _s_ = air above the surface, or lowest atmospheric model layer.\n", - "* _u_ = upper soil layer. BEST uses three soild layers.\n", - "* _l_ = lower soil layer.\n", - "* _b_ = base soil layer.\n", - "* _n_ = snow.\n", - "* _d_ = intercepted water.\n", - "\n", - "**Spectral regions, phases of water**\n", - "* _L_ = liquid.\n", - "* _F_ = frozen.\n", - "* _SW_ = shortwave.\n", - "* _LW_ = longwave.\n", - "\n", - "**Water content**\n", - "* $X_w$ = volumetric soil liquid water content\n", - "* $X_i$ = volumetric soil ice content" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Soil properties\n", - "\n", - "Certain soil properties are calculated initially based on the soil and area types.\n", - "Currently, `SecondBEST` recognises two soil types: `clay` and `sand`.\n", - "\n", - "* Soil colour ($clr$):\n", - " * 0.2 if `clay`\n", - " * 1.0 if `sand`\n", - "* Soil texture ($tex$):\n", - " * 0 if `clay`\n", - " * 9 if `sand`\n", - " * 0.07 if area type is `land_ice`\n", - "* Soil porosity ($X_v$), Eq. 4.10:\n", - " * $0.6 - 0.03\\times tex$\n", - "* Soil moisture volume fraction at field capacity ($X_{FC}$), Eq. 4.11:\n", - " * $(0.95 - 0.086\\times tex)X_v$\n", - "* Soil moisture volume fraction at wilting point ($X_{wilt}$), Eq. 4.12:\n", - " * $X_v - 0.03$\n", - " * 0.01 when area type is `land_ice`.\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Albedo Calculation\n", - "\n", - "The albedo calculation is described in section 5.0 of Pitman et al. `SecondBEST` calculates albedo in the near-infraread and shortwave separately. This is also quite convenient since RRTMG, the radiative transfer code also uses two separate albedos.\n", - "\n", - "### Bare soil\n", - "\n", - "The albedo for bare soil is calculated as (Eqns. 5.5, 5.6):\n", - "$$\\alpha_{SW,u} = 0.10 + 0.1clr + 0.06(1-W_{L,u})\\\\\n", - "\\alpha_{LW,u} = 2\\alpha_{SW,u}$$\n", - "\n", - "where $clr$ is the soil colour defined above.\n", - "\n", - "$W_{L,u}$ is the soil wetness factor, and is defined as the ratio of the\n", - "liquid soil water content in the upper soil layer to its porosity.\n", - "\n", - "$$W_{L,u} = X_{w,u}/X_v$$\n", - "\n", - "### Land Ice\n", - "\n", - "The albedo of Land Ice is calculated as (Eqns. 5.7, 5.8):\n", - "$$\\alpha_{SW,u} = 0.60 + 0.06(1-W_{L,u}) \\\\\n", - "\\alpha_{LW,u} = \\frac{1}{3}\\alpha_{SW,u}$$\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Surface drag parameters\n", - "\n", - "`SecondBEST` calculates the drag parameters as in section 6 of Pitman et al.\n", - "\n", - "### Roughness length\n", - "\n", - "$$ z_0 = \\left \\{ \\begin{array}{1} 0.01m,\\ (soil) \\\\ 0.001m,\\ (snow\\ or\\ ice)\\\\ 0.0002m,\\ (sea) \\end{array} \\right .$$\n", - "\n", - "### Neutral drag coefficient\n", - "\n", - "$$ C_{DN} = \\left ( \\frac{\\kappa}{\\log{z_m} - \\log{z_0}} \\right )^2 ,$$\n", - "\n", - "where $z_m$ is the hydrostatic mid-level height of the lowest atmosphere level and $\\kappa$ is the von Karman constant.\n", - "\n", - "### Normalised mixing length\n", - "\n", - "$$\\zeta = \\exp{\\left (\\frac{-\\kappa}{\\sqrt{C_{DN}}}\\right )}$$\n", - "\n", - "### Richardson number\n", - "\n", - "$$Ri = -\\frac{gz_m}{T_s U_m^2}\\left [ T_u - T_s\\right ] $$\n", - "\n", - "Where $U_m$ is the magnitude of the wind speed at the lowest model level and the other notation is as before. $U_m$ has a minimum value that can be set during initialisation of `SecondBEST`.\n", - "A negative Richardson number indicates unstable conditions.\n", - "\n", - "### Momentum drag coefficient\n", - "\n", - "$$ C_{Dm} = \\left \\{ \\begin{array}{1} C_{DN}\\left [ 1 - \\frac{8Ri}{1 + 56.768 C_{DN}\\sqrt{\\frac{-Ri}{\\zeta}}}\\right ],\\ Ri<0 \\\\ C_{DN} \\left [\\frac{(1 - 4\\epsilon Ri)^2}{1 + 8(1-\\epsilon)Ri} \\right ],\\ Ri \\ge 0 \\end{array} \\right .$$\n", - "\n", - "### Heat and other scalars drag coefficient\n", - "$$ C_{Dh} = \\left \\{ \\begin{array}{1} C_{DN}\\left [ 1 - \\frac{12Ri}{1 + 41.801 C_{DN}\\sqrt{\\frac{-Ri}{\\zeta}}}\\right ],\\ Ri<0 \\\\ C_{DN} \\left [\\frac{1 - 4\\epsilon Ri}{1 + (6-4\\epsilon)Ri} \\right ]^2,\\ Ri \\ge 0 \\end{array} \\right .$$\n", - "\n", - "where $\\epsilon$ is 0.01 for land and 1.0 for oceans." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Surface fluxes\n", - "\n", - "The equations are from Section 8. in Pitman et al.\n", - "\n", - "### Sensible heat flux (Eq. 8.3)\n", - "\n", - "is given by the relatively well known bulk aerodynamic formula.\n", - "\n", - "$$SHF = \\rho_s C_{pd} U_m C_{Dh} (T_u - T_s)$$\n", - "\n", - "### Latent heat flux (Eq. 8.4)\n", - "\n", - "is also given by the bulk formula\n", - "\n", - "$$LHF = L_v\\rho_s U_m C_{Dh} \\beta_u(q^*_u - q_s) $$\n", - "\n", - "where $q^*_u$ is the saturation specific humidity at the soil surface. A \"wetness factor\", $\\beta_u$, is also required, defined as\n", - "\n", - "$$\\beta_u = \\left \\{ \\begin{array}{1} 1,\\ snow\\\\ \\frac{W_{F,u}L_v}{L_i} + \\frac{E_{usmax}}{E_{usP}},\\ soil\\end{array} \\right .$$\n", - "\n", - "$L_v$ is the latent heat of vapourisation, $L_i$ is the latent heat of sublimation, $W_{F,u}$ is the frozen soil moisture in the upper soil layer. The first term containing these terms represents the rate at which frozen soil can sublimate.\n", - "\n", - "$E_{usP}$ is the potential evaporation rate at the soil surface,\n", - "\n", - "$$E_{usP} = \\rho_s c_u (q^*_u - q_s)$$\n", - "\n", - "where $c_u$ is the soil conductance, defined as (Eq. 7.22)\n", - "\n", - "$$c_u = C_{Dh}U_m.$$\n", - "\n", - "$E_{usmax}$ is the exfiltration rate given by\n", - "\n", - "$$E_{usmax} = K_{HD}\\Theta_u^{0.5B + 2} - K_{H0}\\Theta_u^{2B + 3}$$\n", - "\n", - "Where\n", - "\n", - "$$B = \\left \\{ \\begin{array} 10,\\ clay\\\\ 4,\\ sand\\end{array} \\right .$$\n", - "\n", - "$$K_{H0} = \\left \\{ \\begin{array} 0.001,\\ clay\\\\ 0.1,\\ sand \\end{array} \\right .$$\n", - "\n", - "and\n", - "$$K_{HD} = \\left ( \\frac{-4K_{H0}B\\Psi_0\\rho_wX_v(1 - W_{F,u})}{\\pi\\Delta t}\\right )$$\n", - "\n", - "where \n", - "* $\\rho_w$ is the density of the water \n", - "* $\\Psi_0 = -0.2m$ for all soil types is the soil suction at saturation.\n", - "* $\\Delta t$ is the model time step\n", - "* $\\pi$ is the constant.\n", - "\n", - "$\\Theta_u$ is defined as\n", - "\n", - "$$\\Theta_u = \\frac{W_{L,u} - 0.01}{1 - W_{F,u}}$$\n", - "\n", - "The wetness factors $W_{L,x}$ in the soil in the upper and lower layers is **NOT** allowed to fall below 0.01 due to physical and numerical issues.\n", - "\n", - "### Momentum fluxes\n", - "\n", - "are directly calculated from the momentum bulk coefficient\n", - "$$U_s = -\\rho_s C_{Dm}U_mu$$" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Surface energy balance\n", - "\n", - "The energy balance is straightforward once the latent and sensible heat fluxes are known.\n", - "Adding the radiative fluxes completes the balance.\n", - "\n", - "$$Net = Net_{SW} + Net_{LW} - LHF - SHF$$" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Moisture and heat conduction through snow, ice and soil\n", - "\n", - "The transfer of heat and moisture through the snow-ice-soil pack requires solving\n", - "the diffusion equation along with local sources and sinks of heat and moisture which \n", - "\n", - "### Heat conductivity" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.5.2" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/docs/Description_of_SecondBEST.ipynb b/docs/Description_of_SecondBEST.ipynb deleted file mode 100644 index 07f813f..0000000 --- a/docs/Description_of_SecondBEST.ipynb +++ /dev/null @@ -1,281 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# SecondBEST\n", - "------------------\n", - "\n", - "`SecondBEST` is a simplified implementation of the Bare Essentials for Surface Transfer (BEST) land surface model. The main simplifications are that `SecondBEST` does not incorporate the effects of vegetation, which reduces a lot of calculations within BEST. We also assume each grid cell is either fully bare soil or snow/ice, i.e, there are no fractional land types. The implementation here follows the description in [Pitman et al.](http://www.geo.utexas.edu/climate/Research/Reprints/Pitman.BMRC.1991.pdf)\n", - "\n", - "This notebook is a ready reference to the equations used in `SecondBEST` so that interested users don't have to read the above reference if they don't wish to. However, if you plan on making heavy use of `SecondBEST`, you are encouraged to do so!" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Notation\n", - "\n", - "**Surface types**:\n", - "* _s_ = air above the surface, or lowest atmospheric model layer.\n", - "* _u_ = upper soil layer. BEST uses three soild layers.\n", - "* _l_ = lower soil layer.\n", - "* _b_ = base soil layer.\n", - "* _n_ = snow.\n", - "* _d_ = intercepted water.\n", - "\n", - "**Spectral regions, phases of water**\n", - "* _L_ = liquid.\n", - "* _F_ = frozen.\n", - "* _SW_ = shortwave.\n", - "* _LW_ = longwave.\n", - "\n", - "**Water content**\n", - "* $X_w$ = volumetric soil liquid water content\n", - "* $X_i$ = volumetric soil ice content" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Soil properties\n", - "\n", - "Certain soil properties are calculated initially based on the soil and area types.\n", - "Currently, `SecondBEST` recognises two soil types: `clay` and `sand`.\n", - "\n", - "* Soil colour ($clr$):\n", - " * 0.2 if `clay`\n", - " * 1.0 if `sand`\n", - "* Soil texture ($tex$):\n", - " * 0 if `clay`\n", - " * 9 if `sand`\n", - " * 0.07 if area type is `land_ice`\n", - "* Soil porosity ($X_v$), Eq. 4.10:\n", - " * $0.6 - 0.03\\times tex$\n", - "* Soil moisture volume fraction at field capacity ($X_{FC}$), Eq. 4.11:\n", - " * $(0.95 - 0.086\\times tex)X_v$\n", - "* Soil moisture volume fraction at wilting point ($X_{wilt}$), Eq. 4.12:\n", - " * $X_v - 0.03$\n", - " * 0.01 when area type is `land_ice`.\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Albedo Calculation\n", - "\n", - "The albedo calculation is described in section 5.0 of Pitman et al. `SecondBEST` calculates albedo in the near-infraread and shortwave separately. This is also quite convenient since RRTMG, the radiative transfer code also uses two separate albedos.\n", - "\n", - "### Bare soil\n", - "\n", - "The albedo for bare soil is calculated as (Eqns. 5.5, 5.6):\n", - "$$\\alpha_{SW,u} = 0.10 + 0.1clr + 0.06(1-W_{L,u})\\\\\n", - "\\alpha_{LW,u} = 2\\alpha_{SW,u}$$\n", - "\n", - "where $clr$ is the soil colour defined above.\n", - "\n", - "$W_{L,u}$ is the soil wetness factor, and is defined as the ratio of the\n", - "liquid soil water content in the upper soil layer to its porosity.\n", - "\n", - "$$W_{L,u} = X_{w,u}/X_v$$\n", - "\n", - "### Land Ice\n", - "\n", - "The albedo of Land Ice is calculated as (Eqns. 5.7, 5.8):\n", - "$$\\alpha_{SW,u} = 0.60 + 0.06(1-W_{L,u}) \\\\\n", - "\\alpha_{LW,u} = \\frac{1}{3}\\alpha_{SW,u}$$\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Surface drag parameters\n", - "\n", - "`SecondBEST` calculates the drag parameters as in section 6 of Pitman et al.\n", - "\n", - "### Roughness length\n", - "\n", - "$$ z_0 = \\left \\{ \\begin{array}{1} 0.01m,\\ (soil) \\\\ 0.001m,\\ (snow\\ or\\ ice)\\\\ 0.0002m,\\ (sea) \\end{array} \\right .$$\n", - "\n", - "### Neutral drag coefficient\n", - "\n", - "$$ C_{DN} = \\left ( \\frac{\\kappa}{\\log{z_m} - \\log{z_0}} \\right )^2 ,$$\n", - "\n", - "where $z_m$ is the hydrostatic mid-level height of the lowest atmosphere level and $\\kappa$ is the von Karman constant.\n", - "\n", - "### Normalised mixing length\n", - "\n", - "$$\\zeta = \\exp{\\left (\\frac{-\\kappa}{\\sqrt{C_{DN}}}\\right )}$$\n", - "\n", - "### Richardson number\n", - "\n", - "$$Ri = -\\frac{gz_m}{T_s U_m^2}\\left [ T_u - T_s\\right ] $$\n", - "\n", - "Where $U_m$ is the magnitude of the wind speed at the lowest model level and the other notation is as before. $U_m$ has a minimum value that can be set during initialisation of `SecondBEST`.\n", - "A negative Richardson number indicates unstable conditions.\n", - "\n", - "### Momentum drag coefficient\n", - "\n", - "$$ C_{Dm} = \\left \\{ \\begin{array}{1} C_{DN}\\left [ 1 - \\frac{8Ri}{1 + 56.768 C_{DN}\\sqrt{\\frac{-Ri}{\\zeta}}}\\right ],\\ Ri<0 \\\\ C_{DN} \\left [\\frac{(1 - 4\\epsilon Ri)^2}{1 + 8(1-\\epsilon)Ri} \\right ],\\ Ri \\ge 0 \\end{array} \\right .$$\n", - "\n", - "### Heat and other scalars drag coefficient\n", - "$$ C_{Dh} = \\left \\{ \\begin{array}{1} C_{DN}\\left [ 1 - \\frac{12Ri}{1 + 41.801 C_{DN}\\sqrt{\\frac{-Ri}{\\zeta}}}\\right ],\\ Ri<0 \\\\ C_{DN} \\left [\\frac{1 - 4\\epsilon Ri}{1 + (6-4\\epsilon)Ri} \\right ]^2,\\ Ri \\ge 0 \\end{array} \\right .$$\n", - "\n", - "where $\\epsilon$ is 0.01 for land and 1.0 for oceans." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Surface fluxes\n", - "\n", - "The equations are from Section 8. in Pitman et al.\n", - "\n", - "### Sensible heat flux (Eq. 8.3)\n", - "\n", - "is given by the relatively well known bulk aerodynamic formula.\n", - "\n", - "$$SHF = \\rho_s C_{pd} U_m C_{Dh} (T_u - T_s)$$\n", - "\n", - "where $C_{pd}$ is the heat capacity at constant pressure of dry air, and $\\rho_s$ is the density of air at the surface.\n", - "\n", - "### Latent heat flux (Eq. 8.4)\n", - "\n", - "is also given by the bulk formula\n", - "\n", - "$$LHF = L_v\\rho_s U_m C_{Dh} \\beta_u(q^*_u - q_s) $$\n", - "\n", - "where $q^*_u$ is the saturation specific humidity at the soil surface. A \"wetness factor\", $\\beta_u$, is also required, defined as\n", - "\n", - "$$\\beta_u = \\left \\{ \\begin{array}{1} 1,\\ snow\\\\ \\frac{W_{F,u}L_v}{L_i} + \\frac{E_{usmax}}{E_{usP}},\\ soil\\end{array} \\right .$$\n", - "\n", - "$L_v$ is the latent heat of vapourisation, $L_i$ is the latent heat of sublimation, $W_{F,u}$ is the frozen soil moisture in the upper soil layer. The first term containing these terms represents the rate at which frozen soil can sublimate.\n", - "\n", - "$E_{usP}$ is the potential evaporation rate at the soil surface,\n", - "\n", - "$$E_{usP} = \\rho_s c_u (q^*_u - q_s)$$\n", - "\n", - "where $c_u$ is the soil conductance, defined as (Eq. 7.22)\n", - "\n", - "$$c_u = C_{Dh}U_m.$$\n", - "\n", - "$E_{usmax}$ is the exfiltration rate given by\n", - "\n", - "$$E_{usmax} = K_{HD}\\Theta_u^{0.5B + 2} - K_{H0}\\Theta_u^{2B + 3}$$\n", - "\n", - "Where\n", - "\n", - "$$B = \\left \\{ \\begin{array} 10,\\ clay\\\\ 4,\\ sand\\end{array} \\right .$$\n", - "\n", - "$$K_{H0} = \\left \\{ \\begin{array} 0.001,\\ clay\\\\ 0.1,\\ sand \\end{array} \\right .$$\n", - "\n", - "and\n", - "$$K_{HD} = \\left ( \\frac{-4K_{H0}B\\Psi_0\\rho_wX_v(1 - W_{F,u})}{\\pi\\Delta t}\\right )$$\n", - "\n", - "where \n", - "* $\\rho_w$ is the density of the water \n", - "* $\\Psi_0 = -0.2m$ for all soil types is the soil suction at saturation.\n", - "* $\\Delta t$ is the model time step\n", - "* $\\pi$ is the constant.\n", - "\n", - "$\\Theta_u$ is defined as\n", - "\n", - "$$\\Theta_u = \\frac{W_{L,u} - 0.01}{1 - W_{F,u}}$$\n", - "\n", - "The wetness factors $W_{L,x}$ in the soil in the upper and lower layers is **NOT** allowed to fall below 0.01 due to physical and numerical issues.\n", - "\n", - "### Momentum fluxes\n", - "\n", - "are directly calculated from the momentum bulk coefficient\n", - "$$U_s = -\\rho_s C_{Dm}U_mu$$" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Surface energy balance\n", - "\n", - "The energy balance is straightforward once the latent and sensible heat fluxes are known.\n", - "Adding the radiative fluxes completes the balance.\n", - "\n", - "$$Net = Net_{SW} + Net_{LW} - LHF - SHF$$" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Moisture and heat conduction through snow, ice and soil\n", - "\n", - "The transfer of heat and moisture through the snow-ice-soil pack requires solving\n", - "the diffusion equation along with local sources and sinks of heat and moisture which correspond to freezing/melting of water.\n", - "\n", - "The conservation laws are:\n", - "\n", - "$$c_vT_t = G_z + L_f\\Gamma + c_{pw}RT_z - T_t(fict)$$\n", - "\n", - "$$\\rho_w (X_w)_t = (R - (1-f_i)E)_z - \\Gamma - \\Pi$$\n", - "\n", - "$$\\rho_i(X_i)_t = -(f_i E)_z + \\Gamma$$\n", - "\n", - "where\n", - "\n", - "$f_i = X_i/(X_w + X_i)$, $c_v$ is a volumetric heat capacity for soil.\n", - "\n", - "$\\Gamma = \\frac{c_v}{L_f}\\frac{(T_f - T)}{\\Delta t}$ is the potential ice production rate, which is zero if there is no water for freezing or ice for melting.\n", - "\n", - "$\\Pi = A_vE_c/\\Delta z$ is the water removed by transpiration, which is zero in this component (no vegetation effects)\n", - "\n", - "And the flux densities are\n", - "\n", - "$G = K_T T_z$\n", - "\n", - "$R = \\rho_w K_H(1 + \\psi_z) = \\rho_w K_H(z + \\psi)_z$\n", - "for water\n", - "\n", - "$E = \\left \\{ \\begin{array}\\\\ 0,\\ z < 0\\\\ E_{us},\\ z=0 \\end{array} \\right .$\n", - "for water vapour\n", - "\n", - "$T_t(fict)$ is a fictional source that is not necessary in our case since we are solving the full heat/mass transfer equations.\n", - "\n", - "\n", - "### Bottom Boundary conditions\n", - "\n", - "We use a Neumann condition for all variables $()_z=0$, representing a sink of energy and water to the deep soil.\n", - "\n", - "### Numerical scheme\n", - "\n", - "We use an implicit scheme to step forward the diffusive (density) terms and an Euler scheme to step forward the other sources and sinks. The term $c_{pw}RT_z$ represents advection, and this will set the CFL condition $\\Delta z/(c_{pw}R) > \\Delta t/2$ where $\\Delta t$ is the timestep to be used." - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.5.2" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/docs/Implicit_Scheme_Derivation.ipynb b/docs/Implicit_Scheme_Derivation.ipynb deleted file mode 100644 index bbbf80b..0000000 --- a/docs/Implicit_Scheme_Derivation.ipynb +++ /dev/null @@ -1,387 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Deriving coefficients for the implicit scheme\n", - "---------------------------------------------------\n", - "\n", - "The ice sheet energy balance model uses an implicit scheme to solve the\n", - "heat equation for $N$ layers. It uses the Crank-Nicholson scheme to discretise\n", - "the equations. For an equation in one space dimension $x$\n", - "\n", - "$\\frac{df}{dt} = F$,\n", - "\n", - "the Crank-Nicholson scheme discretises the equation as\n", - "\n", - "$\\frac{f^{i+1}_x - f^{i}_x}{\\Delta t} = 0.5\\left [ F^{i+1}_x + F^{i}_x \\right ]$\n", - "\n", - "where the superscript is time and the subscript is space." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "from sympy import *\n", - "init_printing()" - ] - }, - { - "cell_type": "code", - "execution_count": 141, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "tnew_x = Symbol('T^{i+1}_x')\n", - "tnew_xprev = Symbol('T^{i+1}_{x-1}')\n", - "tnew_xafter = Symbol('T^{i+1}_{x+1}')\n", - "\n", - "told_x = Symbol('T^{i}_x')\n", - "told_xprev = Symbol('T^{i}_{x-1}')\n", - "told_xafter = Symbol('T^{i}_{x+1}')\n", - "\n", - "u_x = Symbol('\\kappa_x')\n", - "u_xprev = Symbol('\\kappa_{x-1}')\n", - "u_xafter = Symbol('\\kappa_{x+1}')\n", - "\n", - "delta_t = Symbol('\\Delta t')\n", - "delta_x = Symbol('\\Delta x')" - ] - }, - { - "cell_type": "code", - "execution_count": 142, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/latex": [ - "$$\\left ( T^{i}_x, \\quad \\kappa_{x-1}, \\quad T^{i+1}_{x+1}, \\quad \\Delta x\\right )$$" - ], - "text/plain": [ - "(T_x__{i}, \\kappa_{x-1}, T_{x+1}__{i+1}, \\Delta x)" - ] - }, - "execution_count": 142, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "told_x, u_xprev, tnew_xafter, delta_x" - ] - }, - { - "cell_type": "code", - "execution_count": 143, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "lhs = (tnew_x - told_x)/delta_t" - ] - }, - { - "cell_type": "code", - "execution_count": 144, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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"text/latex": [ - "$$\\frac{T^{i+1}_x - T^{i}_x}{\\Delta t}$$" - ], - "text/plain": [ - "T_x__{i+1} - T_x__{i}\n", - "─────────────────────\n", - " \\Delta t " - ] - }, - "execution_count": 144, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "lhs # The time derivative" - ] - }, - { - "cell_type": "code", - "execution_count": 158, - "metadata": {}, - "outputs": [], - "source": [ - "rhs_new = 0.5*(u_x*(tnew_xprev - 2*tnew_x + tnew_xafter)/delta_x**2 + \n", - " ((tnew_x - tnew_xprev)/(delta_x))*((u_x - u_xprev)/(delta_x)))" - ] - }, - { - "cell_type": "code", - "execution_count": 159, - "metadata": {}, - "outputs": [], - "source": [ - "rhs_old = 0.5*(u_x*(told_xprev - 2*told_x + told_xafter)/delta_x**2 + \n", - " ((told_x - told_xprev)/(delta_x))*((u_x - u_xprev)/(delta_x)))" - ] - }, - { - "cell_type": "code", - "execution_count": 160, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/latex": [ - "$$\\left ( \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i+1}_x + T^{i+1}_{x+1} + T^{i+1}_{x-1}\\right) + \\frac{0.5}{\\Delta x^{2}} \\left(T^{i+1}_x - T^{i+1}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right), \\quad \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i}_x + T^{i}_{x+1} + T^{i}_{x-1}\\right) + \\frac{0.5}{\\Delta x^{2}} \\left(T^{i}_x - T^{i}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right)\\right )$$" - ], - "text/plain": [ - "⎛0.5⋅\\kappaₓ⋅(-2⋅T_x__{i+1} + T_{x+1}__{i+1} + T_{x-1}__{i+1}) 0.5⋅(T_x__{i+\n", - "⎜───────────────────────────────────────────────────────────── + ─────────────\n", - "⎜ 2 \n", - "⎝ \\Delta x \n", - "\n", - "1} - T_{x-1}__{i+1})⋅(\\kappaₓ - \\kappa_{x-1}) 0.5⋅\\kappaₓ⋅(-2⋅T_x__{i} + T_{x\n", - "─────────────────────────────────────────────, ───────────────────────────────\n", - " 2 \n", - " \\Delta x \\Delta x\n", - "\n", - "+1}__{i} + T_{x-1}__{i}) 0.5⋅(T_x__{i} - T_{x-1}__{i})⋅(\\kappaₓ - \\kappa_{x-\n", - "──────────────────────── + ───────────────────────────────────────────────────\n", - "2 2 \n", - " \\Delta x \n", - "\n", - "1})⎞\n", - "───⎟\n", - " ⎟\n", - " ⎠" - ] - }, - "execution_count": 160, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "rhs_new, rhs_old # The two parts of the crank-nicholson RHS." - ] - }, - { - "cell_type": "code", - "execution_count": 161, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "expr = lhs - rhs_new - rhs_old" - ] - }, - { - "cell_type": "code", - "execution_count": 162, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/latex": [ - "$$- \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i+1}_x + T^{i+1}_{x+1} + T^{i+1}_{x-1}\\right) - \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i}_x + T^{i}_{x+1} + T^{i}_{x-1}\\right) - \\frac{0.5}{\\Delta x^{2}} \\left(T^{i+1}_x - T^{i+1}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right) - \\frac{0.5}{\\Delta x^{2}} \\left(T^{i}_x - T^{i}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right) + \\frac{T^{i+1}_x - T^{i}_x}{\\Delta t}$$" - ], - "text/plain": [ - " 0.5⋅\\kappaₓ⋅(-2⋅T_x__{i+1} + T_{x+1}__{i+1} + T_{x-1}__{i+1}) 0.5⋅\\kappaₓ⋅\n", - "- ───────────────────────────────────────────────────────────── - ────────────\n", - " 2 \n", - " \\Delta x \n", - "\n", - "(-2⋅T_x__{i} + T_{x+1}__{i} + T_{x-1}__{i}) 0.5⋅(T_x__{i+1} - T_{x-1}__{i+1}\n", - "─────────────────────────────────────────── - ────────────────────────────────\n", - " 2 \n", - " \\Delta x \\Delta x\n", - "\n", - ")⋅(\\kappaₓ - \\kappa_{x-1}) 0.5⋅(T_x__{i} - T_{x-1}__{i})⋅(\\kappaₓ - \\kappa_{\n", - "────────────────────────── - ─────────────────────────────────────────────────\n", - "2 2 \n", - " \\Delta x \n", - "\n", - "x-1}) T_x__{i+1} - T_x__{i}\n", - "───── + ─────────────────────\n", - " \\Delta t \n", - " " - ] - }, - "execution_count": 162, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "expr" - ] - }, - { - "cell_type": "code", - "execution_count": 163, - "metadata": {}, - "outputs": [], - "source": [ - "poly_form = Poly(expr, tnew_x, tnew_xafter, tnew_xprev, told_x, told_xafter, told_xprev)" - ] - }, - { - "cell_type": "code", - "execution_count": 167, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/latex": [ - "$$\\operatorname{Poly}{\\left( \\frac{1.0 T^{i+1}_x}{\\Delta t \\Delta x^{2}} \\left(0.5 \\Delta t \\kappa_x + 0.5 \\Delta t \\kappa_{x-1} + 1.0 \\Delta x^{2}\\right) - \\frac{0.5 T^{i+1}_{x+1} \\kappa_x}{\\Delta x^{2}} - \\frac{0.5 T^{i+1}_{x-1} \\kappa_{x-1}}{\\Delta x^{2}} + \\frac{1.0 T^{i}_x}{\\Delta t \\Delta x^{2}} \\left(0.5 \\Delta t \\kappa_x + 0.5 \\Delta t \\kappa_{x-1} - 1.0 \\Delta x^{2}\\right) - \\frac{0.5 T^{i}_{x+1} \\kappa_x}{\\Delta x^{2}} - \\frac{0.5 T^{i}_{x-1} \\kappa_{x-1}}{\\Delta x^{2}}, T^{i+1}_x, T^{i+1}_{x+1}, T^{i+1}_{x-1}, T^{i}_x, T^{i}_{x+1}, T^{i}_{x-1}, domain=\\mathbb{R}\\left(\\Delta t, \\Delta x, \\kappa_x, \\kappa_{x-1}\\right) \\right)}$$" - ], - "text/plain": [ - "Poly(1.0*(0.5*\\Delta t*\\kappa_x + 0.5*\\Delta t*\\kappa_{x-1} + 1.0*\\Delta x**2)\n", - "/(\\Delta t*\\Delta x**2)*T^{i+1}_x - 0.5*\\kappa_x/\\Delta x**2*T^{i+1}_{x+1} - 0\n", - ".5*\\kappa_{x-1}/\\Delta x**2*T^{i+1}_{x-1} + 1.0*(0.5*\\Delta t*\\kappa_x + 0.5*\\\n", - "Delta t*\\kappa_{x-1} - 1.0*\\Delta x**2)/(\\Delta t*\\Delta x**2)*T^{i}_x - 0.5*\\\n", - "kappa_x/\\Delta x**2*T^{i}_{x+1} - 0.5*\\kappa_{x-1}/\\Delta x**2*T^{i}_{x-1}, T^\n", - "{i+1}_x, T^{i+1}_{x+1}, T^{i+1}_{x-1}, T^{i}_x, T^{i}_{x+1}, T^{i}_{x-1}, doma\n", - "in='RR(\\Delta t,\\Delta x,\\kappa_x,\\kappa_{x-1})')" - ] - }, - "execution_count": 167, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "poly_form" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The coefficients for the $i+1$ temperature (predicted) are" - ] - }, - { - "cell_type": "code", - "execution_count": 165, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/latex": [ - "$$\\left ( - \\frac{0.5 \\Delta t \\kappa_{x-1}}{\\Delta x^{2}}, \\quad \\frac{1}{\\Delta x^{2}} \\left(0.5 \\Delta t \\kappa_x + 0.5 \\Delta t \\kappa_{x-1} + 1.0 \\Delta x^{2}\\right), \\quad - \\frac{0.5 \\Delta t \\kappa_x}{\\Delta x^{2}}\\right )$$" - ], - "text/plain": [ - "⎛ \n", - "⎜-0.5⋅\\Delta t⋅\\kappa_{x-1} 0.5⋅\\Delta t⋅\\kappaₓ + 0.5⋅\\Delta t⋅\\kappa_{x-1}\n", - "⎜───────────────────────────, ────────────────────────────────────────────────\n", - "⎜ 2 2 \n", - "⎝ \\Delta x \\Delta x \n", - "\n", - " 2 ⎞\n", - " + 1.0⋅\\Delta x -0.5⋅\\Delta t⋅\\kappaₓ ⎟\n", - "────────────────, ──────────────────────⎟\n", - " 2 ⎟\n", - " \\Delta x ⎠" - ] - }, - "execution_count": 165, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "(poly_form.coeff_monomial(tnew_xprev)*delta_t).simplify(), (poly_form.coeff_monomial(tnew_x)*delta_t).simplify(), (poly_form.coeff_monomial(tnew_xafter)*delta_t).simplify()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The coefficients for the $i$ temperature (current) are" - ] - }, - { - "cell_type": "code", - "execution_count": 166, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/latex": [ - "$$\\left ( \\frac{0.5 \\Delta t \\kappa_{x-1}}{\\Delta x^{2}}, \\quad \\frac{1}{\\Delta x^{2}} \\left(- 0.5 \\Delta t \\kappa_x - 0.5 \\Delta t \\kappa_{x-1} + 1.0 \\Delta x^{2}\\right), \\quad \\frac{0.5 \\Delta t \\kappa_x}{\\Delta x^{2}}\\right )$$" - ], - "text/plain": [ - "⎛ \n", - "⎜0.5⋅\\Delta t⋅\\kappa_{x-1} -0.5⋅\\Delta t⋅\\kappaₓ - 0.5⋅\\Delta t⋅\\kappa_{x-1} \n", - "⎜─────────────────────────, ──────────────────────────────────────────────────\n", - "⎜ 2 2 \n", - "⎝ \\Delta x \\Delta x \n", - "\n", - " 2 ⎞\n", - "+ 1.0⋅\\Delta x 0.5⋅\\Delta t⋅\\kappaₓ⎟\n", - "───────────────, ────────────────────⎟\n", - " 2 ⎟\n", - " \\Delta x ⎠" - ] - }, - "execution_count": 166, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "-(poly_form.coeff_monomial(told_xprev)*delta_t).simplify(), (poly_form.coeff_monomial(told_x)*-delta_t).simplify(), -(poly_form.coeff_monomial(told_xafter)*delta_t).simplify()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "These are the coefficients for the diagonals of the sparse matrix. The need to be multiplied by $\\frac{1}{\\rho C}$ where $\\rho, C$ are the vertically varying density and specific heat to represent snow and ice. \n", - "\n", - "The $\\kappa$ values are staggered from the $T$ values, since $T$ represents the interface temperatures and $\\kappa$ represents the mid_level values. `K_mid` and `K_bar` in the code therefore interpolate $\\kappa$ values to the interface." - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.5" - } - }, - "nbformat": 4, - "nbformat_minor": 1 -} diff --git a/docs/Makefile b/docs/Makefile deleted file mode 100644 index 76070cd..0000000 --- a/docs/Makefile +++ /dev/null @@ -1,177 +0,0 @@ -# Makefile for Sphinx documentation -# - -# You can set these variables from the command line. -SPHINXOPTS = -SPHINXBUILD = sphinx-build -PAPER = -BUILDDIR = _build - -# User-friendly check for sphinx-build -ifeq ($(shell which $(SPHINXBUILD) >/dev/null 2>&1; echo $$?), 1) -$(error The '$(SPHINXBUILD)' command was not found. Make sure you have Sphinx installed, then set the SPHINXBUILD environment variable to point to the full path of the '$(SPHINXBUILD)' executable. Alternatively you can add the directory with the executable to your PATH. If you don't have Sphinx installed, grab it from http://sphinx-doc.org/) -endif - -# Internal variables. -PAPEROPT_a4 = -D latex_paper_size=a4 -PAPEROPT_letter = -D latex_paper_size=letter -ALLSPHINXOPTS = -d $(BUILDDIR)/doctrees $(PAPEROPT_$(PAPER)) $(SPHINXOPTS) . -# the i18n builder cannot share the environment and doctrees with the others -I18NSPHINXOPTS = $(PAPEROPT_$(PAPER)) $(SPHINXOPTS) . - -.PHONY: help clean html dirhtml singlehtml pickle json htmlhelp qthelp devhelp epub latex latexpdf text man changes linkcheck doctest gettext - -help: - @echo "Please use \`make ' where is one of" - @echo " html to make standalone HTML files" - @echo " dirhtml to make HTML files named index.html in directories" - @echo " singlehtml to make a single large HTML file" - @echo " pickle to make pickle files" - @echo " json to make JSON files" - @echo " htmlhelp to make HTML files and a HTML help project" - @echo " qthelp to make HTML files and a qthelp project" - @echo " devhelp to make HTML files and a Devhelp project" - @echo " epub to make an epub" - @echo " latex to make LaTeX files, you can set PAPER=a4 or PAPER=letter" - @echo " latexpdf to make LaTeX files and run them through pdflatex" - @echo " latexpdfja to make LaTeX files and run them through platex/dvipdfmx" - @echo " text to make text files" - @echo " man to make manual pages" - @echo " texinfo to make Texinfo files" - @echo " info to make Texinfo files and run them through makeinfo" - @echo " gettext to make PO message catalogs" - @echo " changes to make an overview of all changed/added/deprecated items" - @echo " xml to make Docutils-native XML files" - @echo " pseudoxml to make pseudoxml-XML files for display purposes" - @echo " linkcheck to check all external links for integrity" - @echo " doctest to run all doctests embedded in the documentation (if enabled)" - -clean: - rm -rf $(BUILDDIR)/* - -html: - $(SPHINXBUILD) -b html $(ALLSPHINXOPTS) $(BUILDDIR)/html - @echo - @echo "Build finished. The HTML pages are in $(BUILDDIR)/html." - -dirhtml: - $(SPHINXBUILD) -b dirhtml $(ALLSPHINXOPTS) $(BUILDDIR)/dirhtml - @echo - @echo "Build finished. The HTML pages are in $(BUILDDIR)/dirhtml." - -singlehtml: - $(SPHINXBUILD) -b singlehtml $(ALLSPHINXOPTS) $(BUILDDIR)/singlehtml - @echo - @echo "Build finished. The HTML page is in $(BUILDDIR)/singlehtml." - -pickle: - $(SPHINXBUILD) -b pickle $(ALLSPHINXOPTS) $(BUILDDIR)/pickle - @echo - @echo "Build finished; now you can process the pickle files." - -json: - $(SPHINXBUILD) -b json $(ALLSPHINXOPTS) $(BUILDDIR)/json - @echo - @echo "Build finished; now you can process the JSON files." - -htmlhelp: - $(SPHINXBUILD) -b htmlhelp $(ALLSPHINXOPTS) $(BUILDDIR)/htmlhelp - @echo - @echo "Build finished; now you can run HTML Help Workshop with the" \ - ".hhp project file in $(BUILDDIR)/htmlhelp." - -qthelp: - $(SPHINXBUILD) -b qthelp $(ALLSPHINXOPTS) $(BUILDDIR)/qthelp - @echo - @echo "Build finished; now you can run "qcollectiongenerator" with the" \ - ".qhcp project file in $(BUILDDIR)/qthelp, like this:" - @echo "# qcollectiongenerator $(BUILDDIR)/qthelp/climt.qhcp" - @echo "To view the help file:" - @echo "# assistant -collectionFile $(BUILDDIR)/qthelp/climt.qhc" - -devhelp: - $(SPHINXBUILD) -b devhelp $(ALLSPHINXOPTS) $(BUILDDIR)/devhelp - @echo - @echo "Build finished." - @echo "To view the help file:" - @echo "# mkdir -p $$HOME/.local/share/devhelp/climt" - @echo "# ln -s $(BUILDDIR)/devhelp $$HOME/.local/share/devhelp/climt" - @echo "# devhelp" - -epub: - $(SPHINXBUILD) -b epub $(ALLSPHINXOPTS) $(BUILDDIR)/epub - @echo - @echo "Build finished. The epub file is in $(BUILDDIR)/epub." - -latex: - $(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) $(BUILDDIR)/latex - @echo - @echo "Build finished; the LaTeX files are in $(BUILDDIR)/latex." - @echo "Run \`make' in that directory to run these through (pdf)latex" \ - "(use \`make latexpdf' here to do that automatically)." - -latexpdf: - $(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) $(BUILDDIR)/latex - @echo "Running LaTeX files through pdflatex..." - $(MAKE) -C $(BUILDDIR)/latex all-pdf - @echo "pdflatex finished; the PDF files are in $(BUILDDIR)/latex." - -latexpdfja: - $(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) $(BUILDDIR)/latex - @echo "Running LaTeX files through platex and dvipdfmx..." - $(MAKE) -C $(BUILDDIR)/latex all-pdf-ja - @echo "pdflatex finished; the PDF files are in $(BUILDDIR)/latex." - -text: - $(SPHINXBUILD) -b text $(ALLSPHINXOPTS) $(BUILDDIR)/text - @echo - @echo "Build finished. The text files are in $(BUILDDIR)/text." - -man: - $(SPHINXBUILD) -b man $(ALLSPHINXOPTS) $(BUILDDIR)/man - @echo - @echo "Build finished. The manual pages are in $(BUILDDIR)/man." - -texinfo: - $(SPHINXBUILD) -b texinfo $(ALLSPHINXOPTS) $(BUILDDIR)/texinfo - @echo - @echo "Build finished. The Texinfo files are in $(BUILDDIR)/texinfo." - @echo "Run \`make' in that directory to run these through makeinfo" \ - "(use \`make info' here to do that automatically)." - -info: - $(SPHINXBUILD) -b texinfo $(ALLSPHINXOPTS) $(BUILDDIR)/texinfo - @echo "Running Texinfo files through makeinfo..." - make -C $(BUILDDIR)/texinfo info - @echo "makeinfo finished; the Info files are in $(BUILDDIR)/texinfo." - -gettext: - $(SPHINXBUILD) -b gettext $(I18NSPHINXOPTS) $(BUILDDIR)/locale - @echo - @echo "Build finished. The message catalogs are in $(BUILDDIR)/locale." - -changes: - $(SPHINXBUILD) -b changes $(ALLSPHINXOPTS) $(BUILDDIR)/changes - @echo - @echo "The overview file is in $(BUILDDIR)/changes." - -linkcheck: - $(SPHINXBUILD) -b linkcheck $(ALLSPHINXOPTS) $(BUILDDIR)/linkcheck - @echo - @echo "Link check complete; look for any errors in the above output " \ - "or in $(BUILDDIR)/linkcheck/output.txt." - -doctest: - $(SPHINXBUILD) -b doctest $(ALLSPHINXOPTS) $(BUILDDIR)/doctest - @echo "Testing of doctests in the sources finished, look at the " \ - "results in $(BUILDDIR)/doctest/output.txt." - -xml: - $(SPHINXBUILD) -b xml $(ALLSPHINXOPTS) $(BUILDDIR)/xml - @echo - @echo "Build finished. The XML files are in $(BUILDDIR)/xml." - -pseudoxml: - $(SPHINXBUILD) -b pseudoxml $(ALLSPHINXOPTS) $(BUILDDIR)/pseudoxml - @echo - @echo "Build finished. The pseudo-XML files are in $(BUILDDIR)/pseudoxml." diff --git a/docs/authors.rst b/docs/authors.rst deleted file mode 100644 index e122f91..0000000 --- a/docs/authors.rst +++ /dev/null @@ -1 +0,0 @@ -.. include:: ../AUTHORS.rst diff --git a/docs/climt.rst b/docs/climt.rst deleted file mode 100644 index 4dc640a..0000000 --- a/docs/climt.rst +++ /dev/null @@ -1,10 +0,0 @@ -climt package -============= - -Module contents ---------------- - -.. automodule:: climt - :members: - :undoc-members: - :show-inheritance: diff --git a/docs/climt_logo.jpg b/docs/climt_logo.jpg deleted file mode 100644 index 267ce4bec7a30f4772a0efdb599b6e9dc11406ff..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 1519795 zcmeFYcUV)~wm!U2iUqJCy;uN6nt*fyxY>Yo0qIQvLkS_&Aff2CptOJ>y{R;jCM5|i zpmYTiY665JH3SFe4hJSnoPV4LF z=>QB2M*vs)1^hS!&T0AGzZY=d^+J$GfcphqJ)_${NPrfd4MUj}7^Fmh?MzLSy>sj2XKTOzMHnnL 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Default is the same as -# html_title. -#html_short_title = None - -# The name of an image file (relative to this directory) to place at the -# top of the sidebar. -#html_logo = None - -# The name of an image file (within the static path) to use as favicon -# of the docs. This file should be a Windows icon file (.ico) being -# 16x16 or 32x32 pixels large. -#html_favicon = None - -# Add any paths that contain custom static files (such as style sheets) -# here, relative to this directory. They are copied after the builtin -# static files, so a file named "default.css" will overwrite the builtin -# "default.css". -html_static_path = ['_static'] - -# If not '', a 'Last updated on:' timestamp is inserted at every page -# bottom, using the given strftime format. -#html_last_updated_fmt = '%b %d, %Y' - -# If true, SmartyPants will be used to convert quotes and dashes to -# typographically correct entities. -#html_use_smartypants = True - -# Custom sidebar templates, maps document names to template names. -#html_sidebars = {} - -# Additional templates that should be rendered to pages, maps page names -# to template names. -#html_additional_pages = {} - -# If false, no module index is generated. -html_domain_indices = True - -# If false, no index is generated. -#html_use_index = True - -# If true, the index is split into individual pages for each letter. -#html_split_index = False - -# If true, links to the reST sources are added to the pages. -#html_show_sourcelink = True - -# If true, "Created using Sphinx" is shown in the HTML footer. -# Default is True. -#html_show_sphinx = True - -# If true, "(C) Copyright ..." is shown in the HTML footer. -# Default is True. -#html_show_copyright = True - -# If true, an OpenSearch description file will be output, and all pages -# will contain a tag referring to it. The value of this option -# must be the base URL from which the finished HTML is served. -#html_use_opensearch = '' - -# This is the file name suffix for HTML files (e.g. ".xhtml"). -#html_file_suffix = None - -# Output file base name for HTML help builder. -htmlhelp_basename = 'climtdoc' - - -# -- Options for LaTeX output ------------------------------------------ - -latex_elements = { - # The paper size ('letterpaper' or 'a4paper'). - #'papersize': 'letterpaper', - - # The font size ('10pt', '11pt' or '12pt'). - #'pointsize': '10pt', - - # Additional stuff for the LaTeX preamble. - #'preamble': '', -} - -# Grouping the document tree into LaTeX files. List of tuples -# (source start file, target name, title, author, documentclass -# [howto/manual]). -latex_documents = [ - ('index', 'climt.tex', - u'climt Documentation', - u'Rodrigo Caballero', 'manual'), -] - -# The name of an image file (relative to this directory) to place at -# the top of the title page. -#latex_logo = None - -# For "manual" documents, if this is true, then toplevel headings -# are parts, not chapters. -#latex_use_parts = False - -# If true, show page references after internal links. -#latex_show_pagerefs = False - -# If true, show URL addresses after external links. -#latex_show_urls = False - -# Documents to append as an appendix to all manuals. -#latex_appendices = [] - -# If false, no module index is generated. -latex_domain_indices = True - - -# -- Options for manual page output ------------------------------------ - -# One entry per manual page. List of tuples -# (source start file, name, description, authors, manual section). -man_pages = [ - ('index', 'climt', - u'climt Documentation', - [u'Rodrigo Caballero'], 1) -] - -# If true, show URL addresses after external links. -#man_show_urls = False - - -# -- Options for Texinfo output ---------------------------------------- - -# Grouping the document tree into Texinfo files. List of tuples -# (source start file, target name, title, author, -# dir menu entry, description, category) -texinfo_documents = [ - ('index', 'climt', - u'climt Documentation', - u'Rodrigo Caballero', - 'climt', - 'climt is a Toolkit for building Earth system models in Python.', - 'Miscellaneous'), -] - -# Documents to append as an appendix to all manuals. -#texinfo_appendices = [] - -# If false, no module index is generated. -#texinfo_domain_indices = True - -# How to display URL addresses: 'footnote', 'no', or 'inline'. -#texinfo_show_urls = 'footnote' - -# If true, do not generate a @detailmenu in the "Top" node's menu. -#texinfo_no_detailmenu = False diff --git a/docs/configuration.rst b/docs/configuration.rst deleted file mode 100644 index 35bfcd0..0000000 --- a/docs/configuration.rst +++ /dev/null @@ -1,107 +0,0 @@ -.. highlight:: python - -========================= -Configuring climt -========================= - -A typical climate model allows the user the following -kinds of configuration: - -* Algorithmic Configuration: Changing the "tuning" parameters - of the algorithms underlying various components. For example, - the kind of advection used in a dynamical core could be configured. -* Memory/Array Configuration: Deciding the grid shapes, and distribution - over multiple processors, if using MPI. -* "Physical" Configuration: Choosing the physical constants that are used - during the simulation. For example, gravitational acceleration or planetary - rotation rate could be varied. -* Behavioural Configuration: Allows modification of component behaviour. For example, - radiative transfer components are called only once every N (>> 1) time steps and the - output is kept constant for the remaining N-1 time steps. -* Compositional Configuration: Describing the components that make up the model, the order - in which components need to be called, among other things. - -Climate models can be configured in many ways, including hard coded configurations, namelists, -shell environment variables. These diverse ways of configuring a climate model make it difficult -to keep track of all configurations and changes made. - -climt aims to keep all configuration in the main run script, but separated logically to ensure -the script is still intuitive to read. - -Algorithmic Configuration --------------------------- - -Configuring the algorithm used by each component is done by various keyword arguments passed -to the component while creating it. See, for example, the documentation for -:py:mod:`climt.RRTMGShortwave`. - -Memory/Array Configuration --------------------------- - -climt does not yet support MPI, so there is no API yet to handle distributed arrays. -However, the shape of arrays used by a model can be set while calling -:py:func:`climt.get_default_state`. See, for example, the configuration of arrays in a -`GCM`_. - -Physical Configuration ----------------------- - -climt provides an interface to set and reset constants -required by various components. The constants are put into different categories (:py:data:`boltzmann_constant` -is a 'physical constant' whereas :py:data:`planetary_rotation_rate` is a 'planetary constant', for example). - -The constants can be reset to their default values so that climt is in a known state at the end of -a simulation. In the future, climt will provide a context manager to clean up modified constants -at the end of a run. - -You can read more about this functionality in :ref:`utility_functions`. - -Interfacial Configuration --------------------------- - -Wrappers are the preferred way of changing the inputs or outputs of a component to make -it apparently work in a different way. - -* Piecewise constant output: Computationally expensive modules like radiative transfer - are sometimes called only once every few timesteps, and the same values is used for - the intermediate timesteps of a model. For example a GCM with a time step of 10 minutes - might only call radiation after 1 hour of model time has elapsed. To allow for such - behaviour, :py:class:`sympl.UpdateFrequencyWrapper` can be used. - See how this can be used practically in this `example`_. - -* TendencyComponent version: Spectral dynamical cores step the model forward in spectral space, - and therefore, they do not play well with :py:mod:`Stepper` - components that step forward the model in grid space. Typically, this is handled by - finite differencing the output of Stepper components and providing them as time tendencies. - :py:mod:`Stepper` components can be wrapped with :py:class:`sympl.TimeDifferencingWrapper` which - returns a component which provides the - time differenced tendencies. The time differencing is done using a first order scheme: - - :math:`\frac{dX}{dt} = (X_{out} - X_{in})/\delta t`. - - See how this is used in the `Grey GCM`_. - -* Scaled version: Very often, we perform experiments where we want to study the sensitivity of the simulation - to a particular quantity or the effect of a certain quantity on the output (mechanism denial). - This is in some instances done by scaling the quantity or setting it to zero (which - is also a scaling). To allow for this kind of modification, :py:class:`sympl.ScalingWrapper` can be used. This is a method - available to all kinds of components (Stepper, TendencyComponent, etc.,). See the documentation for this - method in the description of the base components in :ref:`component_list`. - -Compositional Configuration ----------------------------- - -This kind of configuration will allow the automatic building of models given certain -components selected by the user. -Currently, the user has to write the script to build the model and run it. It is clear that -a lot of this code is repetitive and can be replaced by an entity (Which will be called -:py:mod:`Federation`). - -.. note:: - This functionality is currently unavailble, and will be present in a future version of climt. - - - -.. _GCM: https://github.com/CliMT/climt/blob/a69a23fc2470cc516a41c057976bb3d31ac6f0d7/examples/grey_gcm.py#L56-L59 -.. _example: https://github.com/CliMT/climt/blob/a69a23fc2470cc516a41c057976bb3d31ac6f0d7/examples/full_radiation_gcm_energy_balanced.py#L61 -.. _Grey GCM: https://github.com/CliMT/climt/blob/a69a23fc2470cc516a41c057976bb3d31ac6f0d7/examples/grey_gcm.py#L48 diff --git a/docs/contributing.rst b/docs/contributing.rst deleted file mode 100644 index e582053..0000000 --- a/docs/contributing.rst +++ /dev/null @@ -1 +0,0 @@ -.. include:: ../CONTRIBUTING.rst diff --git a/docs/history.rst b/docs/history.rst deleted file mode 100644 index 2506499..0000000 --- a/docs/history.rst +++ /dev/null @@ -1 +0,0 @@ -.. include:: ../HISTORY.rst diff 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message catalogs - echo. changes to make an overview over all changed/added/deprecated items - echo. xml to make Docutils-native XML files - echo. pseudoxml to make pseudoxml-XML files for display purposes - echo. linkcheck to check all external links for integrity - echo. doctest to run all doctests embedded in the documentation if enabled - goto end -) - -if "%1" == "clean" ( - for /d %%i in (%BUILDDIR%\*) do rmdir /q /s %%i - del /q /s %BUILDDIR%\* - goto end -) - - -%SPHINXBUILD% 2> nul -if errorlevel 9009 ( - echo. - echo.The 'sphinx-build' command was not found. Make sure you have Sphinx - echo.installed, then set the SPHINXBUILD environment variable to point - echo.to the full path of the 'sphinx-build' executable. Alternatively you - echo.may add the Sphinx directory to PATH. - echo. - echo.If you don't have Sphinx installed, grab it from - echo.http://sphinx-doc.org/ - exit /b 1 -) - -if "%1" == "html" ( - %SPHINXBUILD% -b html %ALLSPHINXOPTS% %BUILDDIR%/html - if errorlevel 1 exit /b 1 - echo. - echo.Build finished. The HTML pages are in %BUILDDIR%/html. - goto end -) - -if "%1" == "dirhtml" ( - %SPHINXBUILD% -b dirhtml %ALLSPHINXOPTS% %BUILDDIR%/dirhtml - if errorlevel 1 exit /b 1 - echo. - echo.Build finished. The HTML pages are in %BUILDDIR%/dirhtml. - goto end -) - -if "%1" == "singlehtml" ( - %SPHINXBUILD% -b singlehtml %ALLSPHINXOPTS% %BUILDDIR%/singlehtml - if errorlevel 1 exit /b 1 - echo. - echo.Build finished. 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The XML files are in %BUILDDIR%/xml. - goto end -) - -if "%1" == "pseudoxml" ( - %SPHINXBUILD% -b pseudoxml %ALLSPHINXOPTS% %BUILDDIR%/pseudoxml - if errorlevel 1 exit /b 1 - echo. - echo.Build finished. The pseudo-XML files are in %BUILDDIR%/pseudoxml. - goto end -) - -:end diff --git a/docs/memory_management.rst b/docs/memory_management.rst deleted file mode 100644 index 77dfc25..0000000 --- a/docs/memory_management.rst +++ /dev/null @@ -1,80 +0,0 @@ -================= -Memory Management -================= - -Arrays ------- - -If possible, you should try to be aware of when there are two code references -to the same in-memory array. This can help avoid some common bugs. Let's start -with an example. Say you create a ConstantTendencyComponent object like so:: - - >>> import numpy as np - >>> from climt import ConstantTendencyComponent, DataArray - >>> array = DataArray( - np.ones((5, 5, 10)), - dims=('lon', 'lat', 'lev'), attrs={'units': 'K/s'}) - >>> tendencies = {'air_temperature': array} - >>> prognostic = ConstantTendencyComponent(tendencies) - -This is all fine so far. But it's important to know that now ``array`` is the -same array stored inside ``prognostic``:: - - >>> out_tendencies, out_diagnostics = prognostic({}) - >>> out_tendencies['air_temperature'] is array # same place in memory - True - -So if you were to modify ``array``, it would *change the output given by -prognostic*:: - - >>> array[:] = array[:] * 5. - >>> out_tendencies, out_diagnostics = prognostic({}) - >>> out_tendencies['air_temperature'] is array - True - >>> np.all(out_tendencies['air_temperature'].values == array.values) - True - -When in doubt, assume that any array you put into a component when it is -initialized should not be modified any more, unless changing the values in the -component is intentional. Below is some less (but potentially) useful -information for those interested. - -If instead of modifying ``array``, you make a new array for the python variable -``array`` to refer to, it doesn't modify the array in ``prognostic``:: - - >>> array = array * 5. - >>> out_tendencies, out_diagnostics = prognostic({}) - >>> out_tendencies['air_temperature'] is array - False - >>> np.all(out_tendencies['air_temperature'].values == array.values) - False - -This is because having the ``[:]`` on the left hand side of the assignment -operator ``\=`` tells python that you want to modify the existing memory of the -array on the left hand side. More precisely, having ``array =`` tells python -that you want to change what the variable ``array`` refers to, and set it to -be the thing on the right hand side, while ``array[:] =`` tells python to -call the ``__setitem__(key, value)`` method of ``array`` with the contents -of the square parentheses as the key and the right hand side as the value. - -Interestingly, ``array = array * 5.`` has different behavior from -``array *= 5.``. The first one will change what ``array`` refers to, as before, -while the second one will modify ``array`` in-place without changing the -reference. All similarly written operations (``-=``, ``+=``, ``/=``, etc.) are -in-place operations. When you want to avoid copying data, ``array *= 5.`` is -better since the values of the array will be modified where they already are -in memory, instead of allocating an entirely new array. - -Dictionaries ------------- - -Unlike arrays, the dictionary containers are copied when passed in. Copying -dictionaries is fairly cheap, since the new dictionary will still refer to the -same values (arrays) as before, and all that has to be copied is the key-value -pairs:: - - >>> tendencies['new_quantity'] = array - >>> out_tendencies, out_diagnostics = prognostic({}) - >>> 'new_quantity' in out_tendencies.keys() - False - diff --git a/docs/modules.rst b/docs/modules.rst deleted file mode 100644 index c658f9f..0000000 --- a/docs/modules.rst +++ /dev/null @@ -1,7 +0,0 @@ -climt -===== - -.. toctree:: - :maxdepth: 4 - - climt diff --git a/docs/naming.rst b/docs/naming.rst deleted file mode 100644 index 60e9907..0000000 --- a/docs/naming.rst +++ /dev/null @@ -1,11 +0,0 @@ -================= -Naming Quantities -================= - -* Any quantity that is on vertical interface levels should be - named using the form "_on_interface_levels", while quantities - on mid levels should not have anything appended to the variable name. - Quantities that do not specify "_on_interface_levels" are assumed to be on - mid levels. - This must be in the name rather than as an attribute so that the same - coordinate may be present on both half and full levels (with different names). diff --git a/docs/quickstart.rst b/docs/quickstart.rst deleted file mode 100644 index 04fddb2..0000000 --- a/docs/quickstart.rst +++ /dev/null @@ -1,68 +0,0 @@ -.. highlight:: python - -=========== -Quickstart -=========== - -Let us start with a simple climt model which is not very useful, -but helps illustrate how to use climt: - -.. ipython:: python - - import climt - - # Create some components - radiation = climt.GrayLongwaveRadiation() - - surface = climt.SlabSurface() - - # Get a state dictionary filled with required quantities - # for the components to run - state = climt.get_default_state([radiation, surface]) - - # Run components - tendencies, diagnostics = radiation(state) - - # See output - tendencies.keys() - tendencies['air_temperature'] - -Here, all the essential aspects of creating and running a model -in climt are present: - -* Import the :code:`climt` package - -* Create one or many components - -* Create a state dictionary using :code:`get_default_state` - -* Run the components - -* Do something with the output - -Variables :code:`radiation` and :code:`surface` are two components that we -create. All climt components take a lot of optional arguments: However, by -design, the default options (which are used if you don't specify any arguments) -are meant to be scientifically meaningful. - -The variables :code:`state`, :code:`tendencies` and -:code:`diagnostics` are dictionaries which contain quantities -which act either as inputs **to** components or outputs **from** components. - -The function :code:`get_default_state()`, if called only with a list of components, -will provide a set of quantities which represent -a single column of the atmosphere. These default values may or may not be -meaningful in your context, so it is best to see what they are and change them -according to your needs. - -.. note:: - The square brackets are required in the call to :code:`get_default_state`, even - if it is one component: :code:`climt.get_default_state([radiation])` is the - correct syntax. - -Building more sophisticated models and running them is merely an extended version -of the above simple example. climt makes heavy use of `Sympl`_, and knowledge of -Sympl is necessary to use climt to its full capabilities. So, do go through Sympl's -docs! - -.. _Sympl: http://sympl.readthedocs.io diff --git a/docs/readme.rst b/docs/readme.rst deleted file mode 100644 index 72a3355..0000000 --- a/docs/readme.rst +++ /dev/null @@ -1 +0,0 @@ -.. include:: ../README.rst diff --git a/docs/realistic.rst b/docs/realistic.rst deleted file mode 100644 index 6e24e9b..0000000 --- a/docs/realistic.rst +++ /dev/null @@ -1,82 +0,0 @@ -.. highlight:: python - -================= -A Realistic Model -================= - -As mentioned before, climt includes some components -which returns the a new version of the model state, -and some which return just tendencies. - -Since tendencies by themselves are not useful for much -other than plotting, we need to couple them with numerical -integration components to march the model forward in time. -Again, we will use the grey radiation scheme as an example. - -The following script is used to obtain the temperature profile -of the atmosphere if no physical process other than radiation -(specifically, grey gas radiation in this example) are present. -The temperature profile obtained is called the **radiative equilibrium** -profile. - -As before, we will create the radiation component and the model state: - -.. ipython:: python - - import climt - import matplotlib.pyplot as plt - import numpy as np - # Two new imports - from sympl import AdamsBashforth - from datetime import timedelta - - # Create some components - radiation = climt.GrayLongwaveRadiation() - - # Get a state dictionary filled with required quantities - # for the components to run - state = climt.get_default_state([radiation]) - -We have two new imports, :code:`AdamsBashforth` and :code:`timedelta`. -The former is a numerical `integrator`_ which will step the model forward -in time, and the latter is a standard python module which will be used to represent -the time step of the model. - -Now, to create the integrator and the timestep: - -.. ipython:: python - - model_time_step = timedelta(hours=1) - model = AdamsBashforth([radiation]) - -We now have a model ready to run! The integrator will return the new model -state and any diagnostics that :code:`radiation` has generated. We can then -update the current model state with the new model state and continue to step -the model forward in time: - -.. ipython:: python - - for step in range(10): - diagnostics, new_state = model(state, model_time_step) - ''' Update state with diagnostics. - This updated state can be saved if necessary ''' - state.update(diagnostics) - '''Update state quantities''' - state.update(new_state) - '''Update model time''' - state['time'] += model_time_step - '''See if the maximum temperature is changing''' - print(state['time'], ': ', state['air_temperature'].max().values) - -And voila, we have a model that actually evolves over time! Many example -scripts that illustrate standard model configurations used in climate -modelling are available in the github `repository`_. These scripts include -examples which setup graphics to view the evolution of the model over time. - -.. note:: - A more user friendly API called :code:`Federation` will be available in - a later version of climt. However, setting up models is easy enough even - without :code:`Federation` once you get used to the workflow. - -.. _integrator: https://en.wikipedia.org/wiki/Linear_multistep_method -.. _repository: https://github.com/CliMT/climt/tree/master/examples diff --git a/docs/rrtmg_clouds.rst b/docs/rrtmg_clouds.rst deleted file mode 100644 index f60c5a3..0000000 --- a/docs/rrtmg_clouds.rst +++ /dev/null @@ -1,440 +0,0 @@ -****************************************** -RRTMG - The Rapid Radiative Transfer Model -****************************************** - -============ -Introduction -============ - -Treatment of Clouds -=================== - -There are two methods in RRTMG, which handle clouds in different ways. - -McICA ------ - -McICA allows us to have fractional cloud areas, -by randomly assigning some wavelengths to see cloud -and other wavelengths to see no cloud. -For example if we have a cloud fraction of 40%, -then 40% of the wavelengths see cloud, while the other 60% -do not. - -nomcica -------- - -With nomcica, all of the wavelengths see some cloud. -Using this method for the shortwave we can only have cloud area fractions of -zero and one, representing clear and completely overcast skies. -On the other hand, if we are calculating longwave fluxes, we can also use -fractional cloud area fractions. - - -=============================== -Calculation of radiative fluxes -=============================== - -Longwave -======== - -Two properties are needed to calculate the longwave radiative fluxes; -the absorptivity (or transmittance which equals one minus the absorptivity) -and the emissivity. -Values of these two properties are needed for each model layer, -for both cloudy and clear sky regimes and for each waveband. - -.. code-block:: fortran - - radld = radld * (1 - atrans(lev)) * (1 - efclfrac(lev,ib)) + & - gassrc * (1 - cldfrac(lev)) + bbdtot * atot(lev) * cldfrac(lev) - -The radiative fluxes at each layer(``radld`` -on the left hand side of the equations) are calculated from the -radiative fluxes from the layer above (``radld`` -on the right hand side of the equation) and the properties of -the layer. -The first term in the equation above is fraction of radiative -flux from the layer above that is transmitted through the layer. -``atrans(lev)`` is the gaseous absorptivity and -``efclfrac`` is the absorptivity of the cloud weighted by the -cloud area fraction (`here for nomcica`_). -The other two terms in the above equation are emission terms. -The first of these represents emission from gases in the area of clear sky -and the second represents emission from gases and cloud from the area of cloud. -The equation for the upward longwave flux ``radlu`` is very similar: the flux -is calculated from the radiative flux from the layer below and the properties -of the layer. - -These equations are used with ``nomcica`` when the ``rrtmg_cloud_overlap_method`` -is set to ``random`` and the cloud area fraction is greater -than 10\ :sup:`-6`\. These calculations are in the ``rrtmg_lw_rtrn.f90`` file, -in the `downward radiative transfer loop`_ and -`upward radiative transfer loop`_ respectively. -These equations are also used with ``McICA``. In this case, ``efclfrac`` is either zero or the non-weighted -absorptivity of the cloud and this is allocated randomly to each waveband, -with the number of waveband receiving each depending on the cloud area fraction. -For ``McICA``, these calculations are in the ``rrtmg_lw_rtrnmc.f90`` file, in the -`downward loop`_ and `upward loop`_ respectively. -In both files, in the downward loop there are three different ways of calculating -the absorptivity, which use different approximations for the exponential of the -optical depth. The one that is used depends on the optical depth of the clear sky -and of the total sky. - -.. _`here for nomcica`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrn.f90#L307 -.. _`downward radiative transfer loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrn.f90#L350-L417 -.. _`upward radiative transfer loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrn.f90#L482-L485 -.. _`downward loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrnmc.f90#L339-L406 -.. _`upward loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrnmc.f90#L471-L474 - -With ``nomcica``, if the ``rrtmg_cloud_overlap_method`` is set to any of the -other options except ``random``, the ``rrtmg_lw_rtrnmr.f90`` file -is called. Then, the radiative fluxes are calculated as follows, `at the end of the -downward radiative transfer loop`_. - -.. code-block:: fortran - - cldradd = cldradd * (1._rb - atot(lev)) + cldfrac(lev) * bbdtot * atot(lev) - clrradd = clrradd * (1._rb-atrans(lev)) + (1._rb - cldfrac(lev)) * gassrc - radld = cldradd + clrradd - -The downward radiative flux is split into the clear sky and cloudy components, -``clrradd`` and ``cldradd`` respectively. -Both components contain a transmittance term from the clear or cloudy part, -respectively, of the layer above and an emission term. The emission terms are -identical to those described above. -The fluxes ``clrradd`` and ``cldradd`` are modified by an amount that depends on the change in -cloud fraction between layers before they are used for the calculation of fluxes -in the layer below. - -.. _`at the end of the downward radiative transfer loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrnmr.f90#L571-L575 - - -================= -Clouds with McICA -================= - -A brief description of the different options that can be used in RRTMG with McICA and the input parameters required in each case. - -Cloud properties -================ - -There are three options for the RRTMG ``inflag``, as given in the ``climt`` dictionary: rrtmg_cloud_props_dict_ - -.. _rrtmg_cloud_props_dict: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_components/rrtmg/rrtmg_common.py#L18-L22 - -.. code-block:: python - - rrtmg_cloud_props_dict = { - 'direct_input': 0, - 'single_cloud_type': 1, - 'liquid_and_ice_clouds': 2 - } - -With McICA, we cannot use ``single_cloud_type``, but can choose between ``direct_input`` and ``liquid_and_ice_clouds``. -If we choose ``direct_input``, we input the ``longwave_optical_thickness_due_to_cloud``, ``shortwave_optical_thickness_due_to_cloud``, as well as the shortwave parameters ``single_scattering_albedo_due_to_cloud``, ``cloud_asymmetry_parameter`` and ``cloud_forward_scattering_fraction``. -The ``cloud_forward_scattering_fraction`` is used to scale the other shortwave parameters (``shortwave_optical_thickness_due_to_cloud``, ``single_scattering_albedo_due_to_cloud`` and ``cloud_asymmetry_parameter``), but it is not directly used in the radiative transfer calculations. -If the ``cloud_forward_scattering_fraction`` is set to zero, no scaling is applied. -The other cloud properties, namely ``cloud_ice_particle_size`` and ``cloud_water_droplet_radius``, ``mass_content_of_cloud_ice_in_atmosphere_layer``, and ``mass_content_of_cloud_liquid_water_in_atmosphere_layer`` are completely unused. -The RRTMG ``iceflag`` and ``liqflag`` are irrelevant. - -On the other hand, if we choose ``liquid_and_ice_clouds``, -any input values for ``longwave_optical_thickness_due_to_cloud``, ``shortwave_optical_thickness_due_to_cloud``, ``single_scattering_albedo_due_to_cloud`` and ``cloud_asymmetry_parameter`` are irrelevant. -Instead, these parameters are calculated from the cloud ice and water droplet particle sizes (``cloud_ice_particle_size`` and ``cloud_water_droplet_radius``), as well as the cloud ice and water paths (``mass_content_of_cloud_ice_in_atmosphere_layer``, ``mass_content_of_cloud_liquid_water_in_atmosphere_layer``). -The methods used for the calculations depend on the cloud ice and water properties; ``iceflag`` and ``liqflag`` in RRTMG. - -Regardless of the other cloud input type, ``cloud_area_fraction_in_atmosphere_layer`` is required, -and is used in McICA to determine how much of the wavelength spectrum sees cloud and how much does not. - -Calculation of cloud properties -=============================== - -Longwave --------- - -For the longwave, the only cloud property of interest for calculating radiative fluxes in RRTMG, is the optical depth. This is calculated at `the end of the longwave cldprmc submodule`_ as: - -.. code-block:: fortran - - taucmc(ig,lay) = ciwpmc(ig,lay) * abscoice(ig) + & - clwpmc(ig,lay) * abscoliq(ig) - -.. _`the end of the longwave cldprmc submodule`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_lw/rrtmg_lw_cldprmc.f90#L246-L247 - -Values of cloud optical depth ``taucmc`` are calculated for each model layer (pressure), ``lay``, and each g-interval, ``ig``. -The cloud ice and liquid absorption coefficients (``abscoice`` and ``abscoliq``) are multiplied by the cloud ice and liquid water paths (``ciwpmc`` and ``clwpmc``) respectively, to give the ice cloud optical depth and the liquid water cloud optical depth. -The cloud ice and liquid water paths are input by the user, in ``climt`` as ``mass_content_of_cloud_ice_in_atmosphere_layer`` and ``mass_content_of_cloud_liquid_water_in_atmosphere_layer`` respectively. -The cloud ice and liquid absorption coefficients are calculated based on the ice and liquid water particle sizes (specified by the user), and this calculation depends on the choice of ``iceflag`` and ``liqflag``. - -Shortwave ---------- - -For the shortwave, there are three cloud properties, which affect the radiative flux calculation in RRTMG, namely the optical depth, the single scattering albedo and the asymmetry parameter. - -The shortwave optical depth is calculated as: - -.. code-block:: fortran - - taucmc(ig,lay) = tauice + tauliq - -with - -.. code-block:: fortran - - tauice = (1 - forwice(ig) + ssacoice(ig)) * ciwpmc(ig,lay) * extcoice(ig) - tauliq = (1 - forwliq(ig) + ssacoliq(ig)) * clwpmc(ig,lay) * extcoliq(ig) - -The single scattering albedo is calculated as: - -.. code-block:: fortran - - ssacmc(ig,lay) = (scatice + scatliq) / taucmc(ig,lay) - -with - -.. code-block:: fortran - - scatice = ssacoice(ig) * (1._rb - forwice(ig)) / (1._rb - forwice(ig) * ssacoice(ig)) * tauice - scatliq = ssacoliq(ig) * (1._rb - forwliq(ig)) / (1._rb - forwliq(ig) * ssacoliq(ig)) * tauliq - - -The asymmetry parameter is given by: - -.. code-block:: fortran - - asmcmc(ig,lay) = 1.0_rb / (scatliq + scatice) * ( & - scatliq * (gliq(ig) - forwliq(ig)) / (1.0_rb - forwliq(ig)) + & - scatice * (gice(ig) - forwice(ig)) / (1.0_rb - forwice(ig)) ) - -The original RRTMG code for these calculations is at `the end of the shortwave cldprmc submodule`_. - -.. _`the end of the shortwave cldprmc submodule`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_sw/rrtmg_sw_cldprmc.f90#L297-L337 - -Values of optical depth, single scattering albedo and asymmetry parameter are calculated for each model layer (pressure), ``lay``, and each g-interval, ``ig``. The cloud ice and liquid water paths (``ciwpmc`` and ``clwpmc``) are input by the user. -The other parameters (``extcoice``, ``extcoliq``, ``ssacoice``, ``ssacoliq``, ``gice``, ``gliq``, ``forwice``, ``forwliq``) are calculated based on the ice and liquid water particle sizes and this calculation depends on the choice of ``iceflag`` and ``liqflag``. - -Cloud ice properties -==================== - -There are four options for the RRTMG ``iceflag``. These are given in the ``climt`` dictionary: rrtmg_cloud_ice_props_dict_ - -.. _rrtmg_cloud_ice_props_dict: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_components/rrtmg/rrtmg_common.py#L29-L34 - -.. code-block:: python - - rrtmg_cloud_ice_props_dict = { - 'ebert_curry_one': 0, - 'ebert_curry_two': 1, - 'key_streamer_manual': 2, - 'fu': 3 - } - - -ebert_curry_one ---------------- - -For the longwave, ``ebert_curry_one`` gives an absorption coefficient of - -``abscoice = 0.005 + 1.0 / radice`` - -Here, ``radice`` is the ice particle size and the absorption coefficient is the same for all wavebands. - -``ebert_curry_one`` should not be used for the shortwave component with McICA. - -ebert_curry_two ---------------- - -``ebert_curry_two`` is the default choice for cloud ice optical properties in ``climt``. -In this case, the longwave absorption coefficient is calculated in `the lw_cldprmc file`_ as follows. - -.. code-block:: fortran - - abscoice(ig) = absice1(1,ib) + absice1(2,ib)/radice - -.. _`the lw_cldprmc file`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_lw/rrtmg_lw_cldprmc.f90#L188-L193 - -The absorption coefficient ``abscoice`` is a function of g-interval ``ig`` and is made up of two contributions. -The first of these ``absice1(1, ib)`` comes from a look up table and is given in [m\ :sup:`2`\ / g]. -``ib`` provides an index for the look up table, based on the waveband of the g-interval. -``absice1(2,ib)`` also comes from a look up table and is given in [microns m\ :sup:`2`\ / g]. It is divided by ``radice``, the cloud ice particle size, providing an ice particle size dependence of the absorption coefficient. -Although the syntax does not emphasise it, the absorption coefficient may also depend on model layer (pressure), as ``radice`` can have model layer dependence. -``radice`` comes from the input property labeled ``cloud_ice_particle_size`` in ``climt``. -The ice particle size dependent term is more important than the independent term (``absice1(2,ib)/radice`` > ``absice1(1,ib)``) at all wavebands for ice particle sizes less than 88 microns. -Using ``ebert_curry_two``, the ice particle size must be in the range [13, 130] microns, and even for larger particle sizes (> 88), the ice particle size dependent term is more important than the independent term for four of the five wavebands. - -For the shortwave, the parameters (required for the optical depth, single scattering albedo and asymmetry) are calculated in `the sw_cldprmc file`_ as follows. - -.. _`the sw_cldprmc file`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_sw/rrtmg_sw_cldprmc.f90#L182-L208 - -.. code-block:: fortran - - extcoice(ig) = abari(icx) + bbari(icx)/radice - ssacoice(ig) = 1._rb - cbari(icx) - dbari(icx) * radice - gice(ig) = ebari(icx) + fbari(icx) * radice - forwice(ig) = gice(ig)*gice(ig) - -``abari``, ``bbari``, ``cbari``, ``dbari``, ``ebari`` and ``fbari`` are all look up tables, containing five values, which correspond to five different wavebands. -The choice of waveband is indicated by ``icx``. -The particle size dependence comes from ``radice``, so each parameter consists of both a size independent and a size dependent contribution. - -.. figure:: ./ice_cloud_optical_depth.png - - *The dependence of cloud optical depth* ``taucmc`` *on cloud ice particle size (with an ice water path of 1), with different lines representing the different wavebands.* - -key_streamer_manual -------------------- - -In this case, both the longwave absorption coefficient and three of the shortwave parameters (``excoice``, ``ssacoice``, ``gice``) are interpolated from look up tables. -Comments in the RRTMG code state that these look up tables are for a spherical ice particle parameterisation. -The look up tables contain 42 values for each of the 16 longwave and 14 shortwave wavebands. -The 42 values correspond to different ice particle radii, evenly spaced in the range [5, 131] microns. -Ice particles must be within this range, otherwise an error is thrown. - -The shortwave parameter ``forwice`` is calculated as the square of ``gice``. - -fu --- - -The longwave absorption coefficient and shortwave parameters ``extcoice``, ``ssacoice`` and ``gice`` are interpolated from look up tables. -The look up tables differ to those in ``key_streamer_manual``, and -comments in the RRTMG code state that the look up tables for ``fu`` are for a hexagonal ice particle parameterisation. -The look up tables for ``fu`` are slightly larger than those for ``key_streamer_manual``, and the range of allowed values for the ice particle size is corresponding larger ([5, 140] microns). - -The shortwave parameter ``forwice`` is calculated from ``fdelta`` (again taken from look up tables) and ``ssacoice`` as follows. - -.. code-block:: fortran - - forwice(ig) = fdelta(ig) + 0.5_rb / ssacoice(ig) - -The longwave and shortwave parameter calculations can be found in the `longwave cldprmc`_ and `shortwave cldprmc`_ subroutines respectively. - -.. _`longwave cldprmc`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_lw/rrtmg_lw_cldprmc.f90#L211-L223 - -.. _`shortwave cldprmc`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_sw/rrtmg_sw_cldprmc.f90#L235-L262 - -Cloud liquid properties -======================= - -There are two options for the RRTMG ``liqflag``. These are given in the ``climt`` dictionary: rrtmg_cloud_liquid_props_dict_ - -.. _rrtmg_cloud_liquid_props_dict: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_components/rrtmg/rrtmg_common.py#L41-L44 - -.. code-block:: python - - rrtmg_cloud_liquid_props_dict = { - 'radius_independent_absorption': 0, - 'radius_dependent_absorption': 1 - } - - -For ``radius_independent_absorption``, the longwave absorption coefficient is 0.0903614 for all wavebands. -This option should not be used for the shortwave. - -``radius_dependent_absorption`` is the default choice for cloud liquid water properties in ``climt``. -In this case, the longwave absorption coefficient and the shortwave parameters ``extcoliq``, ``ssacoliq``, and ``gliq`` are interpolated from look up tables. -The look up tables have values for particle sizes in the range [2.5, 59.5] microns in 1 micron intervals (58 values) for each of the 16 longwave and 14 shortwave wavebands. -The shortwave parameter ``forwliq`` is calculated as the square of ``gliq``. - - -.. figure:: ./liquid_cloud_optical_depth.png - - *The dependence of cloud optical depth* ``taucmc`` *on cloud liquid water particle size (with a liquid water path of 1), with different lines representing the different wavebands.* - - -Cloud overlap method -==================== - -This is the RRTMG ``icld`` and is given in the climt dictionary: rrtmg_cloud_overlap_method_dict_ - -.. _rrtmg_cloud_overlap_method_dict: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_components/rrtmg/rrtmg_common.py#L6-L11 - -.. code-block:: python - - rrtmg_cloud_overlap_method_dict = { - 'clear_only': 0, - 'random': 1, - 'maximum_random': 2, - 'maximum': 3 - } - -If we choose ``clear_only``, there are no clouds, regardless of the other input. -If we choose ``random``, the g-intervals which see cloud are chosen randomly for -each model layer. This means that there is a dependence on vertical resolution: -if vertical resolution is increased, more layers contain the same cloud -and a larger portion of the wavelength spectrum sees some of the cloud. -With ``maximum_random``, the g-intervals that see cloud in one model layer are -the same as those that see cloud in a neighbouring model layer. -This maximises the cloud overlap between neighbouring layers (within a single -cloud). If the cloud area fraction changes between layers, the additional -g-intervals that see (or don't see) cloud are assigned randomly. Therefore, if -there are two clouds at different altitudes, separated by clear sky, the two -clouds overlap randomly with respect to each other. If ``maximum`` is selected, -cloud overlap is maximised both within and between clouds. - -The implementation is in the `mcica_subcol_gen_sw`_ and `mcica_subcol_gen_lw`_ -files, and consists firstly of assigning each g-interval a random number in the -range [0, 1]. For ``random``, and ``maximum_random`` (cases 1 and 2 in -`mcica_subcol_gen_sw`_ and `mcica_subcol_gen_lw`_), random numbers are generated -for each layer, whereas for ``maximum`` (case 3) only one set of random numbers -is generated and applied to all the layers. For ``maximum_random``, the random -numbers are recalculated to fulfill the assumption about overlap (this -recalculation is described below). -Whether a g-interval at a certain layer sees cloud depends on both the random -number it has been assigned and the cloud fraction at that layer. For example, -if the cloud area fraction is 30%, all g-intervals that have been assigned a -random number > 0.7 (approximately 30% of the g-intervals) will see cloud. -The other g-intervals will see clear-sky. If the cloud fraction is 20%, only -g-intervals with a random number > 0.8 will see cloud. -The recalculation of random numbers in the ``maximum_random`` case for a certain -model layer (layer 2), considers the assigned random numbers and cloud area -fraction of the layer above (layer 1). -If the g-interval sees cloud in layer 1, its random number in layer 2 is -changed so that it matches that in layer 1. This does not necessarily mean that -it will see cloud in layer 2, because the cloud fraction could be smaller in -layer 2 than layer 1 (so the requirement for seeing cloud would be increased). -The random numbers for the g-intervals in layer 2, which do not see cloud in -layer 1, are multiplied by one minus the cloud area fraction of layer 1, so that -the set of random numbers assigned to layer 2 are still randomly distributed in -the range [0, 1]. This is required so that the right proportion of g-intervals -in layer 2 see cloud. - -.. _mcica_subcol_gen_lw: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/mcica_subcol_gen_lw.f90#L347-L470 -.. _mcica_subcol_gen_sw: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_sw/mcica_subcol_gen_sw.f90#L374-L497 - -======================================= -Differences in cloud input with nomcica -======================================= - -Regarding the options that can be used with nomcica, -there are a few differences to those that can be used with McICA. - -Cloud properties -================ - -For the longwave, we can choose ``single_cloud_type`` in the `rrtmg_cloud_props_dict`_. -The longwave cloud optical depth is calculated as follows. - -.. code-block:: fortran - - taucloud(lay,ib) = abscld1 * (ciwp(lay) + clwp(lay)) - -This gives us a cloud optical depth based on a single constant value, ``abscld1`` -and the total cloud water path. -Thus, for this option, the ``mass_content_of_cloud_ice_in_atmosphere_layer``, and -``mass_content_of_cloud_liquid_water_in_atmosphere_layer`` are needed as input. -``single_cloud_type`` is not available for the shortwave. - -If we choose ``liquid_and_ice_clouds``, the calculations of the longwave and shortwave -optical properties from the cloud mass and particle sizes are the same as for McICA, -but are calculated for each waveband instead of each g-interval. - -Cloud overlap method -==================== - -With nomcica choosing a cloud overlap of ``random`` in the -`rrtmg_cloud_overlap_method_dict`_ is different to choosing either -``maximum_random`` or ``maximum``. The latter two options do not differ. -If we choose ``random``, the radiative flux transmitted from one layer to the next -does not care if it came from cloud or clear sky, -whereas with ``maximum_random``, the cloudy and clear fluxes are separated and -treated separately from one model layer to the next. diff --git a/docs/utilities.rst b/docs/utilities.rst deleted file mode 100644 index c20b4fb..0000000 --- a/docs/utilities.rst +++ /dev/null @@ -1,27 +0,0 @@ -.. _utility_functions: -.. currentmodule:: climt - -General Utilities -================== -This documents some utility functions available in :mod:`climt`. -Most of the constants functionality is inherited from :mod:`sympl`. - -Constants ----------- - -.. autosummary:: - :toctree: generated/ - - list_available_constants - set_constants_from_dict - -Miscellaneous --------------- - -.. autosummary:: - :toctree: generated/ - - mass_to_volume_mixing_ratio - get_interface_values - - From ff09aaf0d967ac0e56107509144c59f0581aebc0 Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 12:58:00 +0530 Subject: [PATCH 05/30] clean workflow --- .github/workflows/python-package.yml | 2 +- .github/workflows/windows-package.yml | 52 ---- ...Description_of_SecondBEST-checkpoint.ipynb | 244 ++++++++++++++++++ 3 files changed, 245 insertions(+), 53 deletions(-) delete mode 100644 .github/workflows/windows-package.yml create mode 100644 docs/.ipynb_checkpoints/Description_of_SecondBEST-checkpoint.ipynb diff --git a/.github/workflows/python-package.yml b/.github/workflows/python-package.yml index 92cdc12..d570bd0 100644 --- a/.github/workflows/python-package.yml +++ b/.github/workflows/python-package.yml @@ -5,7 +5,7 @@ name: Python package on: push: - branches: [ master, develop, shuffle ] + branches: [ master] pull_request: branches: [ master, develop ] diff --git a/.github/workflows/windows-package.yml b/.github/workflows/windows-package.yml deleted file mode 100644 index 8711596..0000000 --- a/.github/workflows/windows-package.yml +++ /dev/null @@ -1,52 +0,0 @@ -# # This workflow will install compilers and packges on windows platform - -# name: windows package - -# on: -# pull_request: -# branches: [ master, develop ] - -# jobs: -# windows_package: -# runs-on: windows-2019 -# defaults: -# run: -# shell: bash -l {0} -# strategy: -# matrix: -# python-version: ["3.7"] -# steps: -# - uses: actions/checkout@v2 -# - uses: conda-incubator/setup-miniconda@v2 -# with: -# auto-update-conda: true -# python-version: ${{ matrix.python-version }} -# - shell: bash -l {0} -# run: | -# export COMPILER_PATH=/c/Miniconda/envs/test/Library/mingw-w64/bin/ -# conda activate test -# which python -# conda install -c msys2 m2w64-gcc m2w64-gcc-fortran m2w64-winpthreads-git m2w64-openblas -# conda install libpython -# which gcc -# which gfortran -# cp $COMPILER_PATH/x86_64-w64-mingw32-gcc-ar.exe $COMPILER_PATH/x86_64-w64-mingw32-ar.exe -# printf '[build]\r\ncompiler=mingw32\r\n' > $HOME/pydistutils.cfg -# ls $HOME; cat $HOME/pydistutils.cfg -# python -m pip install -r requirements_dev.txt -# touch libmsvcr140.dll -# cp /c/Miniconda/envs/test/Library/bin/vcruntime140.dll /c/Miniconda/envs/test/Library/bin/msvcr140.dll -# ls -l -# python setup.py develop -# py.test -v - -# - if: ${{ github.event_name == 'release' }} -# env: -# TWINE_USERNAME: __token__ -# TWINE_PASSWORD: ${{ secrets.TWINE_PASSWORD }} -# run: | -# export COMPILER_PATH=/c/Miniconda/envs/test/Library/mingw-w64/bin/ -# python setup.py bdist_wheel -# python setup.py sdist -# python -m pip install twine -# twine upload dist/* diff --git a/docs/.ipynb_checkpoints/Description_of_SecondBEST-checkpoint.ipynb b/docs/.ipynb_checkpoints/Description_of_SecondBEST-checkpoint.ipynb new file mode 100644 index 0000000..f2ff2d6 --- /dev/null +++ b/docs/.ipynb_checkpoints/Description_of_SecondBEST-checkpoint.ipynb @@ -0,0 +1,244 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# SecondBEST\n", + "------------------\n", + "\n", + "`SecondBEST` is a simplified implementation of the Bare Essentials for Surface Transfer (BEST) land surface model. The main simplifications are that `SecondBEST` does not incorporate the effects of vegetation, which reduces a lot of calculations within BEST. We also assume each grid cell is either fully bare soil or snow/ice, i.e, there are no fractional land types. The implementation here follows the description in [Pitman et al.](http://www.geo.utexas.edu/climate/Research/Reprints/Pitman.BMRC.1991.pdf)\n", + "\n", + "This notebook is a ready reference to the equations used in `SecondBEST` so that interested users don't have to read the above reference if they don't wish to. However, if you plan on making heavy use of `SecondBEST`, you are encouraged to do so!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Notation\n", + "\n", + "**Surface types**:\n", + "* _s_ = air above the surface, or lowest atmospheric model layer.\n", + "* _u_ = upper soil layer. BEST uses three soild layers.\n", + "* _l_ = lower soil layer.\n", + "* _b_ = base soil layer.\n", + "* _n_ = snow.\n", + "* _d_ = intercepted water.\n", + "\n", + "**Spectral regions, phases of water**\n", + "* _L_ = liquid.\n", + "* _F_ = frozen.\n", + "* _SW_ = shortwave.\n", + "* _LW_ = longwave.\n", + "\n", + "**Water content**\n", + "* $X_w$ = volumetric soil liquid water content\n", + "* $X_i$ = volumetric soil ice content" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Soil properties\n", + "\n", + "Certain soil properties are calculated initially based on the soil and area types.\n", + "Currently, `SecondBEST` recognises two soil types: `clay` and `sand`.\n", + "\n", + "* Soil colour ($clr$):\n", + " * 0.2 if `clay`\n", + " * 1.0 if `sand`\n", + "* Soil texture ($tex$):\n", + " * 0 if `clay`\n", + " * 9 if `sand`\n", + " * 0.07 if area type is `land_ice`\n", + "* Soil porosity ($X_v$), Eq. 4.10:\n", + " * $0.6 - 0.03\\times tex$\n", + "* Soil moisture volume fraction at field capacity ($X_{FC}$), Eq. 4.11:\n", + " * $(0.95 - 0.086\\times tex)X_v$\n", + "* Soil moisture volume fraction at wilting point ($X_{wilt}$), Eq. 4.12:\n", + " * $X_v - 0.03$\n", + " * 0.01 when area type is `land_ice`.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Albedo Calculation\n", + "\n", + "The albedo calculation is described in section 5.0 of Pitman et al. `SecondBEST` calculates albedo in the near-infraread and shortwave separately. This is also quite convenient since RRTMG, the radiative transfer code also uses two separate albedos.\n", + "\n", + "### Bare soil\n", + "\n", + "The albedo for bare soil is calculated as (Eqns. 5.5, 5.6):\n", + "$$\\alpha_{SW,u} = 0.10 + 0.1clr + 0.06(1-W_{L,u})\\\\\n", + "\\alpha_{LW,u} = 2\\alpha_{SW,u}$$\n", + "\n", + "where $clr$ is the soil colour defined above.\n", + "\n", + "$W_{L,u}$ is the soil wetness factor, and is defined as the ratio of the\n", + "liquid soil water content in the upper soil layer to its porosity.\n", + "\n", + "$$W_{L,u} = X_{w,u}/X_v$$\n", + "\n", + "### Land Ice\n", + "\n", + "The albedo of Land Ice is calculated as (Eqns. 5.7, 5.8):\n", + "$$\\alpha_{SW,u} = 0.60 + 0.06(1-W_{L,u}) \\\\\n", + "\\alpha_{LW,u} = \\frac{1}{3}\\alpha_{SW,u}$$\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Surface drag parameters\n", + "\n", + "`SecondBEST` calculates the drag parameters as in section 6 of Pitman et al.\n", + "\n", + "### Roughness length\n", + "\n", + "$$ z_0 = \\left \\{ \\begin{array}{1} 0.01m,\\ (soil) \\\\ 0.001m,\\ (snow\\ or\\ ice)\\\\ 0.0002m,\\ (sea) \\end{array} \\right .$$\n", + "\n", + "### Neutral drag coefficient\n", + "\n", + "$$ C_{DN} = \\left ( \\frac{\\kappa}{\\log{z_m} - \\log{z_0}} \\right )^2 ,$$\n", + "\n", + "where $z_m$ is the hydrostatic mid-level height of the lowest atmosphere level and $\\kappa$ is the von Karman constant.\n", + "\n", + "### Normalised mixing length\n", + "\n", + "$$\\zeta = \\exp{\\left (\\frac{-\\kappa}{\\sqrt{C_{DN}}}\\right )}$$\n", + "\n", + "### Richardson number\n", + "\n", + "$$Ri = -\\frac{gz_m}{T_s U_m^2}\\left [ T_u - T_s\\right ] $$\n", + "\n", + "Where $U_m$ is the magnitude of the wind speed at the lowest model level and the other notation is as before. $U_m$ has a minimum value that can be set during initialisation of `SecondBEST`.\n", + "A negative Richardson number indicates unstable conditions.\n", + "\n", + "### Momentum drag coefficient\n", + "\n", + "$$ C_{Dm} = \\left \\{ \\begin{array}{1} C_{DN}\\left [ 1 - \\frac{8Ri}{1 + 56.768 C_{DN}\\sqrt{\\frac{-Ri}{\\zeta}}}\\right ],\\ Ri<0 \\\\ C_{DN} \\left [\\frac{(1 - 4\\epsilon Ri)^2}{1 + 8(1-\\epsilon)Ri} \\right ],\\ Ri \\ge 0 \\end{array} \\right .$$\n", + "\n", + "### Heat and other scalars drag coefficient\n", + "$$ C_{Dh} = \\left \\{ \\begin{array}{1} C_{DN}\\left [ 1 - \\frac{12Ri}{1 + 41.801 C_{DN}\\sqrt{\\frac{-Ri}{\\zeta}}}\\right ],\\ Ri<0 \\\\ C_{DN} \\left [\\frac{1 - 4\\epsilon Ri}{1 + (6-4\\epsilon)Ri} \\right ]^2,\\ Ri \\ge 0 \\end{array} \\right .$$\n", + "\n", + "where $\\epsilon$ is 0.01 for land and 1.0 for oceans." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Surface fluxes\n", + "\n", + "The equations are from Section 8. in Pitman et al.\n", + "\n", + "### Sensible heat flux (Eq. 8.3)\n", + "\n", + "is given by the relatively well known bulk aerodynamic formula.\n", + "\n", + "$$SHF = \\rho_s C_{pd} U_m C_{Dh} (T_u - T_s)$$\n", + "\n", + "### Latent heat flux (Eq. 8.4)\n", + "\n", + "is also given by the bulk formula\n", + "\n", + "$$LHF = L_v\\rho_s U_m C_{Dh} \\beta_u(q^*_u - q_s) $$\n", + "\n", + "where $q^*_u$ is the saturation specific humidity at the soil surface. A \"wetness factor\", $\\beta_u$, is also required, defined as\n", + "\n", + "$$\\beta_u = \\left \\{ \\begin{array}{1} 1,\\ snow\\\\ \\frac{W_{F,u}L_v}{L_i} + \\frac{E_{usmax}}{E_{usP}},\\ soil\\end{array} \\right .$$\n", + "\n", + "$L_v$ is the latent heat of vapourisation, $L_i$ is the latent heat of sublimation, $W_{F,u}$ is the frozen soil moisture in the upper soil layer. The first term containing these terms represents the rate at which frozen soil can sublimate.\n", + "\n", + "$E_{usP}$ is the potential evaporation rate at the soil surface,\n", + "\n", + "$$E_{usP} = \\rho_s c_u (q^*_u - q_s)$$\n", + "\n", + "where $c_u$ is the soil conductance, defined as (Eq. 7.22)\n", + "\n", + "$$c_u = C_{Dh}U_m.$$\n", + "\n", + "$E_{usmax}$ is the exfiltration rate given by\n", + "\n", + "$$E_{usmax} = K_{HD}\\Theta_u^{0.5B + 2} - K_{H0}\\Theta_u^{2B + 3}$$\n", + "\n", + "Where\n", + "\n", + "$$B = \\left \\{ \\begin{array} 10,\\ clay\\\\ 4,\\ sand\\end{array} \\right .$$\n", + "\n", + "$$K_{H0} = \\left \\{ \\begin{array} 0.001,\\ clay\\\\ 0.1,\\ sand \\end{array} \\right .$$\n", + "\n", + "and\n", + "$$K_{HD} = \\left ( \\frac{-4K_{H0}B\\Psi_0\\rho_wX_v(1 - W_{F,u})}{\\pi\\Delta t}\\right )$$\n", + "\n", + "where \n", + "* $\\rho_w$ is the density of the water \n", + "* $\\Psi_0 = -0.2m$ for all soil types is the soil suction at saturation.\n", + "* $\\Delta t$ is the model time step\n", + "* $\\pi$ is the constant.\n", + "\n", + "$\\Theta_u$ is defined as\n", + "\n", + "$$\\Theta_u = \\frac{W_{L,u} - 0.01}{1 - W_{F,u}}$$\n", + "\n", + "The wetness factors $W_{L,x}$ in the soil in the upper and lower layers is **NOT** allowed to fall below 0.01 due to physical and numerical issues.\n", + "\n", + "### Momentum fluxes\n", + "\n", + "are directly calculated from the momentum bulk coefficient\n", + "$$U_s = -\\rho_s C_{Dm}U_mu$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Surface energy balance\n", + "\n", + "The energy balance is straightforward once the latent and sensible heat fluxes are known.\n", + "Adding the radiative fluxes completes the balance.\n", + "\n", + "$$Net = Net_{SW} + Net_{LW} - LHF - SHF$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Moisture and heat conduction through snow, ice and soil\n", + "\n", + "The transfer of heat and moisture through the snow-ice-soil pack requires solving\n", + "the diffusion equation along with local sources and sinks of heat and moisture which \n", + "\n", + "### Heat conductivity" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From c0fc8a2cba919794a2cca7cd1d2fe71c2c51cf02 Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 19:56:31 +0530 Subject: [PATCH 06/30] ttry build --- readthedocs.yml | 6 ------ 1 file changed, 6 deletions(-) delete mode 100644 readthedocs.yml diff --git a/readthedocs.yml b/readthedocs.yml deleted file mode 100644 index 3c252a5..0000000 --- a/readthedocs.yml +++ /dev/null @@ -1,6 +0,0 @@ -build: - image: latest - -python: - version: 3.8 - setup_py_install: true From cfe73e28318df10cf0fa6555089a54e6dfe0c920 Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 20:04:37 +0530 Subject: [PATCH 07/30] add readthedocs --- readthedocs.yml | 31 +++++++++++++++++++++++++++++++ 1 file changed, 31 insertions(+) create mode 100644 readthedocs.yml diff --git a/readthedocs.yml b/readthedocs.yml new file mode 100644 index 0000000..a9a3ed2 --- /dev/null +++ b/readthedocs.yml @@ -0,0 +1,31 @@ +# Read the Docs configuration file for Sphinx projects +# See https://docs.readthedocs.io/en/stable/config-file/v2.html for details + +# Required +version: 2 + +# Set the OS, Python version and other tools you might need +build: + os: ubuntu-22.04 + tools: + python: "3.10" + # You can also specify other tool versions: + # nodejs: "19" + # rust: "1.64" + # golang: "1.19" + +# Build documentation in the "docs/" directory with Sphinx +sphinx: + configuration: docs/conf.py + +# Optionally build your docs in additional formats such as PDF and ePub +# formats: +# - pdf +# - epub + +# Optional but recommended, declare the Python requirements required +# to build your documentation +# See https://docs.readthedocs.io/en/stable/guides/reproducible-builds.html +# python: +# install: +# - requirements: docs/requirements.txt \ No newline at end of file From a0c39626344452dc6e0f52e654c6ee84352d9a06 Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 20:06:55 +0530 Subject: [PATCH 08/30] try docs --- docs/Description_of_SecondBEST.ipynb | 281 ++++++++++++++++ docs/Implicit_Scheme_Derivation.ipynb | 387 ++++++++++++++++++++++ docs/Makefile | 177 +++++++++++ docs/authors.rst | 1 + docs/climt.rst | 10 + docs/climt_logo.jpg | Bin 0 -> 1519795 bytes docs/component_manual.rst | 5 + docs/component_types.rst | 28 ++ docs/components.rst | 87 +++++ docs/conf.py | 292 +++++++++++++++++ docs/configuration.rst | 107 +++++++ docs/contributing.rst | 1 + docs/history.rst | 1 + docs/ice_cloud_optical_depth.png | Bin 0 -> 93977 bytes docs/index.rst | 51 +++ docs/initialisation.rst | 11 + docs/installation.rst | 99 ++++++ docs/interaction.rst | 173 ++++++++++ docs/introduction.rst | 24 ++ docs/liquid_cloud_optical_depth.png | Bin 0 -> 81725 bytes docs/make.bat | 242 ++++++++++++++ docs/memory_management.rst | 80 +++++ docs/modules.rst | 7 + docs/naming.rst | 11 + docs/quickstart.rst | 68 ++++ docs/readme.rst | 1 + docs/realistic.rst | 82 +++++ docs/rrtmg_clouds.rst | 440 ++++++++++++++++++++++++++ docs/utilities.rst | 27 ++ 29 files changed, 2693 insertions(+) create mode 100644 docs/Description_of_SecondBEST.ipynb create mode 100644 docs/Implicit_Scheme_Derivation.ipynb create mode 100644 docs/Makefile create mode 100644 docs/authors.rst create mode 100644 docs/climt.rst create mode 100644 docs/climt_logo.jpg create mode 100644 docs/component_manual.rst create mode 100644 docs/component_types.rst create mode 100644 docs/components.rst create mode 100644 docs/conf.py create mode 100644 docs/configuration.rst create mode 100644 docs/contributing.rst create mode 100644 docs/history.rst create mode 100644 docs/ice_cloud_optical_depth.png create mode 100644 docs/index.rst create mode 100644 docs/initialisation.rst create mode 100644 docs/installation.rst create mode 100644 docs/interaction.rst create mode 100644 docs/introduction.rst create mode 100644 docs/liquid_cloud_optical_depth.png create mode 100644 docs/make.bat create mode 100644 docs/memory_management.rst create mode 100644 docs/modules.rst create mode 100644 docs/naming.rst create mode 100644 docs/quickstart.rst create mode 100644 docs/readme.rst create mode 100644 docs/realistic.rst create mode 100644 docs/rrtmg_clouds.rst create mode 100644 docs/utilities.rst diff --git a/docs/Description_of_SecondBEST.ipynb b/docs/Description_of_SecondBEST.ipynb new file mode 100644 index 0000000..07f813f --- /dev/null +++ b/docs/Description_of_SecondBEST.ipynb @@ -0,0 +1,281 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# SecondBEST\n", + "------------------\n", + "\n", + "`SecondBEST` is a simplified implementation of the Bare Essentials for Surface Transfer (BEST) land surface model. The main simplifications are that `SecondBEST` does not incorporate the effects of vegetation, which reduces a lot of calculations within BEST. We also assume each grid cell is either fully bare soil or snow/ice, i.e, there are no fractional land types. The implementation here follows the description in [Pitman et al.](http://www.geo.utexas.edu/climate/Research/Reprints/Pitman.BMRC.1991.pdf)\n", + "\n", + "This notebook is a ready reference to the equations used in `SecondBEST` so that interested users don't have to read the above reference if they don't wish to. However, if you plan on making heavy use of `SecondBEST`, you are encouraged to do so!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Notation\n", + "\n", + "**Surface types**:\n", + "* _s_ = air above the surface, or lowest atmospheric model layer.\n", + "* _u_ = upper soil layer. BEST uses three soild layers.\n", + "* _l_ = lower soil layer.\n", + "* _b_ = base soil layer.\n", + "* _n_ = snow.\n", + "* _d_ = intercepted water.\n", + "\n", + "**Spectral regions, phases of water**\n", + "* _L_ = liquid.\n", + "* _F_ = frozen.\n", + "* _SW_ = shortwave.\n", + "* _LW_ = longwave.\n", + "\n", + "**Water content**\n", + "* $X_w$ = volumetric soil liquid water content\n", + "* $X_i$ = volumetric soil ice content" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Soil properties\n", + "\n", + "Certain soil properties are calculated initially based on the soil and area types.\n", + "Currently, `SecondBEST` recognises two soil types: `clay` and `sand`.\n", + "\n", + "* Soil colour ($clr$):\n", + " * 0.2 if `clay`\n", + " * 1.0 if `sand`\n", + "* Soil texture ($tex$):\n", + " * 0 if `clay`\n", + " * 9 if `sand`\n", + " * 0.07 if area type is `land_ice`\n", + "* Soil porosity ($X_v$), Eq. 4.10:\n", + " * $0.6 - 0.03\\times tex$\n", + "* Soil moisture volume fraction at field capacity ($X_{FC}$), Eq. 4.11:\n", + " * $(0.95 - 0.086\\times tex)X_v$\n", + "* Soil moisture volume fraction at wilting point ($X_{wilt}$), Eq. 4.12:\n", + " * $X_v - 0.03$\n", + " * 0.01 when area type is `land_ice`.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Albedo Calculation\n", + "\n", + "The albedo calculation is described in section 5.0 of Pitman et al. `SecondBEST` calculates albedo in the near-infraread and shortwave separately. This is also quite convenient since RRTMG, the radiative transfer code also uses two separate albedos.\n", + "\n", + "### Bare soil\n", + "\n", + "The albedo for bare soil is calculated as (Eqns. 5.5, 5.6):\n", + "$$\\alpha_{SW,u} = 0.10 + 0.1clr + 0.06(1-W_{L,u})\\\\\n", + "\\alpha_{LW,u} = 2\\alpha_{SW,u}$$\n", + "\n", + "where $clr$ is the soil colour defined above.\n", + "\n", + "$W_{L,u}$ is the soil wetness factor, and is defined as the ratio of the\n", + "liquid soil water content in the upper soil layer to its porosity.\n", + "\n", + "$$W_{L,u} = X_{w,u}/X_v$$\n", + "\n", + "### Land Ice\n", + "\n", + "The albedo of Land Ice is calculated as (Eqns. 5.7, 5.8):\n", + "$$\\alpha_{SW,u} = 0.60 + 0.06(1-W_{L,u}) \\\\\n", + "\\alpha_{LW,u} = \\frac{1}{3}\\alpha_{SW,u}$$\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Surface drag parameters\n", + "\n", + "`SecondBEST` calculates the drag parameters as in section 6 of Pitman et al.\n", + "\n", + "### Roughness length\n", + "\n", + "$$ z_0 = \\left \\{ \\begin{array}{1} 0.01m,\\ (soil) \\\\ 0.001m,\\ (snow\\ or\\ ice)\\\\ 0.0002m,\\ (sea) \\end{array} \\right .$$\n", + "\n", + "### Neutral drag coefficient\n", + "\n", + "$$ C_{DN} = \\left ( \\frac{\\kappa}{\\log{z_m} - \\log{z_0}} \\right )^2 ,$$\n", + "\n", + "where $z_m$ is the hydrostatic mid-level height of the lowest atmosphere level and $\\kappa$ is the von Karman constant.\n", + "\n", + "### Normalised mixing length\n", + "\n", + "$$\\zeta = \\exp{\\left (\\frac{-\\kappa}{\\sqrt{C_{DN}}}\\right )}$$\n", + "\n", + "### Richardson number\n", + "\n", + "$$Ri = -\\frac{gz_m}{T_s U_m^2}\\left [ T_u - T_s\\right ] $$\n", + "\n", + "Where $U_m$ is the magnitude of the wind speed at the lowest model level and the other notation is as before. $U_m$ has a minimum value that can be set during initialisation of `SecondBEST`.\n", + "A negative Richardson number indicates unstable conditions.\n", + "\n", + "### Momentum drag coefficient\n", + "\n", + "$$ C_{Dm} = \\left \\{ \\begin{array}{1} C_{DN}\\left [ 1 - \\frac{8Ri}{1 + 56.768 C_{DN}\\sqrt{\\frac{-Ri}{\\zeta}}}\\right ],\\ Ri<0 \\\\ C_{DN} \\left [\\frac{(1 - 4\\epsilon Ri)^2}{1 + 8(1-\\epsilon)Ri} \\right ],\\ Ri \\ge 0 \\end{array} \\right .$$\n", + "\n", + "### Heat and other scalars drag coefficient\n", + "$$ C_{Dh} = \\left \\{ \\begin{array}{1} C_{DN}\\left [ 1 - \\frac{12Ri}{1 + 41.801 C_{DN}\\sqrt{\\frac{-Ri}{\\zeta}}}\\right ],\\ Ri<0 \\\\ C_{DN} \\left [\\frac{1 - 4\\epsilon Ri}{1 + (6-4\\epsilon)Ri} \\right ]^2,\\ Ri \\ge 0 \\end{array} \\right .$$\n", + "\n", + "where $\\epsilon$ is 0.01 for land and 1.0 for oceans." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Surface fluxes\n", + "\n", + "The equations are from Section 8. in Pitman et al.\n", + "\n", + "### Sensible heat flux (Eq. 8.3)\n", + "\n", + "is given by the relatively well known bulk aerodynamic formula.\n", + "\n", + "$$SHF = \\rho_s C_{pd} U_m C_{Dh} (T_u - T_s)$$\n", + "\n", + "where $C_{pd}$ is the heat capacity at constant pressure of dry air, and $\\rho_s$ is the density of air at the surface.\n", + "\n", + "### Latent heat flux (Eq. 8.4)\n", + "\n", + "is also given by the bulk formula\n", + "\n", + "$$LHF = L_v\\rho_s U_m C_{Dh} \\beta_u(q^*_u - q_s) $$\n", + "\n", + "where $q^*_u$ is the saturation specific humidity at the soil surface. A \"wetness factor\", $\\beta_u$, is also required, defined as\n", + "\n", + "$$\\beta_u = \\left \\{ \\begin{array}{1} 1,\\ snow\\\\ \\frac{W_{F,u}L_v}{L_i} + \\frac{E_{usmax}}{E_{usP}},\\ soil\\end{array} \\right .$$\n", + "\n", + "$L_v$ is the latent heat of vapourisation, $L_i$ is the latent heat of sublimation, $W_{F,u}$ is the frozen soil moisture in the upper soil layer. The first term containing these terms represents the rate at which frozen soil can sublimate.\n", + "\n", + "$E_{usP}$ is the potential evaporation rate at the soil surface,\n", + "\n", + "$$E_{usP} = \\rho_s c_u (q^*_u - q_s)$$\n", + "\n", + "where $c_u$ is the soil conductance, defined as (Eq. 7.22)\n", + "\n", + "$$c_u = C_{Dh}U_m.$$\n", + "\n", + "$E_{usmax}$ is the exfiltration rate given by\n", + "\n", + "$$E_{usmax} = K_{HD}\\Theta_u^{0.5B + 2} - K_{H0}\\Theta_u^{2B + 3}$$\n", + "\n", + "Where\n", + "\n", + "$$B = \\left \\{ \\begin{array} 10,\\ clay\\\\ 4,\\ sand\\end{array} \\right .$$\n", + "\n", + "$$K_{H0} = \\left \\{ \\begin{array} 0.001,\\ clay\\\\ 0.1,\\ sand \\end{array} \\right .$$\n", + "\n", + "and\n", + "$$K_{HD} = \\left ( \\frac{-4K_{H0}B\\Psi_0\\rho_wX_v(1 - W_{F,u})}{\\pi\\Delta t}\\right )$$\n", + "\n", + "where \n", + "* $\\rho_w$ is the density of the water \n", + "* $\\Psi_0 = -0.2m$ for all soil types is the soil suction at saturation.\n", + "* $\\Delta t$ is the model time step\n", + "* $\\pi$ is the constant.\n", + "\n", + "$\\Theta_u$ is defined as\n", + "\n", + "$$\\Theta_u = \\frac{W_{L,u} - 0.01}{1 - W_{F,u}}$$\n", + "\n", + "The wetness factors $W_{L,x}$ in the soil in the upper and lower layers is **NOT** allowed to fall below 0.01 due to physical and numerical issues.\n", + "\n", + "### Momentum fluxes\n", + "\n", + "are directly calculated from the momentum bulk coefficient\n", + "$$U_s = -\\rho_s C_{Dm}U_mu$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Surface energy balance\n", + "\n", + "The energy balance is straightforward once the latent and sensible heat fluxes are known.\n", + "Adding the radiative fluxes completes the balance.\n", + "\n", + "$$Net = Net_{SW} + Net_{LW} - LHF - SHF$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Moisture and heat conduction through snow, ice and soil\n", + "\n", + "The transfer of heat and moisture through the snow-ice-soil pack requires solving\n", + "the diffusion equation along with local sources and sinks of heat and moisture which correspond to freezing/melting of water.\n", + "\n", + "The conservation laws are:\n", + "\n", + "$$c_vT_t = G_z + L_f\\Gamma + c_{pw}RT_z - T_t(fict)$$\n", + "\n", + "$$\\rho_w (X_w)_t = (R - (1-f_i)E)_z - \\Gamma - \\Pi$$\n", + "\n", + "$$\\rho_i(X_i)_t = -(f_i E)_z + \\Gamma$$\n", + "\n", + "where\n", + "\n", + "$f_i = X_i/(X_w + X_i)$, $c_v$ is a volumetric heat capacity for soil.\n", + "\n", + "$\\Gamma = \\frac{c_v}{L_f}\\frac{(T_f - T)}{\\Delta t}$ is the potential ice production rate, which is zero if there is no water for freezing or ice for melting.\n", + "\n", + "$\\Pi = A_vE_c/\\Delta z$ is the water removed by transpiration, which is zero in this component (no vegetation effects)\n", + "\n", + "And the flux densities are\n", + "\n", + "$G = K_T T_z$\n", + "\n", + "$R = \\rho_w K_H(1 + \\psi_z) = \\rho_w K_H(z + \\psi)_z$\n", + "for water\n", + "\n", + "$E = \\left \\{ \\begin{array}\\\\ 0,\\ z < 0\\\\ E_{us},\\ z=0 \\end{array} \\right .$\n", + "for water vapour\n", + "\n", + "$T_t(fict)$ is a fictional source that is not necessary in our case since we are solving the full heat/mass transfer equations.\n", + "\n", + "\n", + "### Bottom Boundary conditions\n", + "\n", + "We use a Neumann condition for all variables $()_z=0$, representing a sink of energy and water to the deep soil.\n", + "\n", + "### Numerical scheme\n", + "\n", + "We use an implicit scheme to step forward the diffusive (density) terms and an Euler scheme to step forward the other sources and sinks. The term $c_{pw}RT_z$ represents advection, and this will set the CFL condition $\\Delta z/(c_{pw}R) > \\Delta t/2$ where $\\Delta t$ is the timestep to be used." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docs/Implicit_Scheme_Derivation.ipynb b/docs/Implicit_Scheme_Derivation.ipynb new file mode 100644 index 0000000..bbbf80b --- /dev/null +++ b/docs/Implicit_Scheme_Derivation.ipynb @@ -0,0 +1,387 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Deriving coefficients for the implicit scheme\n", + "---------------------------------------------------\n", + "\n", + "The ice sheet energy balance model uses an implicit scheme to solve the\n", + "heat equation for $N$ layers. It uses the Crank-Nicholson scheme to discretise\n", + "the equations. For an equation in one space dimension $x$\n", + "\n", + "$\\frac{df}{dt} = F$,\n", + "\n", + "the Crank-Nicholson scheme discretises the equation as\n", + "\n", + "$\\frac{f^{i+1}_x - f^{i}_x}{\\Delta t} = 0.5\\left [ F^{i+1}_x + F^{i}_x \\right ]$\n", + "\n", + "where the superscript is time and the subscript is space." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from sympy import *\n", + "init_printing()" + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "tnew_x = Symbol('T^{i+1}_x')\n", + "tnew_xprev = Symbol('T^{i+1}_{x-1}')\n", + "tnew_xafter = Symbol('T^{i+1}_{x+1}')\n", + "\n", + "told_x = Symbol('T^{i}_x')\n", + "told_xprev = Symbol('T^{i}_{x-1}')\n", + "told_xafter = Symbol('T^{i}_{x+1}')\n", + "\n", + "u_x = Symbol('\\kappa_x')\n", + "u_xprev = Symbol('\\kappa_{x-1}')\n", + "u_xafter = Symbol('\\kappa_{x+1}')\n", + "\n", + "delta_t = Symbol('\\Delta t')\n", + "delta_x = Symbol('\\Delta x')" + ] + }, + { + "cell_type": "code", + "execution_count": 142, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/latex": [ + "$$\\left ( T^{i}_x, \\quad \\kappa_{x-1}, \\quad T^{i+1}_{x+1}, \\quad \\Delta x\\right )$$" + ], + "text/plain": [ + "(T_x__{i}, \\kappa_{x-1}, T_{x+1}__{i+1}, \\Delta x)" + ] + }, + "execution_count": 142, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "told_x, u_xprev, tnew_xafter, delta_x" + ] + }, + { + "cell_type": "code", + "execution_count": 143, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "lhs = (tnew_x - told_x)/delta_t" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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"text/latex": [ + "$$\\frac{T^{i+1}_x - T^{i}_x}{\\Delta t}$$" + ], + "text/plain": [ + "T_x__{i+1} - T_x__{i}\n", + "─────────────────────\n", + " \\Delta t " + ] + }, + "execution_count": 144, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lhs # The time derivative" + ] + }, + { + "cell_type": "code", + "execution_count": 158, + "metadata": {}, + "outputs": [], + "source": [ + "rhs_new = 0.5*(u_x*(tnew_xprev - 2*tnew_x + tnew_xafter)/delta_x**2 + \n", + " ((tnew_x - tnew_xprev)/(delta_x))*((u_x - u_xprev)/(delta_x)))" + ] + }, + { + "cell_type": "code", + "execution_count": 159, + "metadata": {}, + "outputs": [], + "source": [ + "rhs_old = 0.5*(u_x*(told_xprev - 2*told_x + told_xafter)/delta_x**2 + \n", + " ((told_x - told_xprev)/(delta_x))*((u_x - u_xprev)/(delta_x)))" + ] + }, + { + "cell_type": "code", + "execution_count": 160, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/latex": [ + "$$\\left ( \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i+1}_x + T^{i+1}_{x+1} + T^{i+1}_{x-1}\\right) + \\frac{0.5}{\\Delta x^{2}} \\left(T^{i+1}_x - T^{i+1}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right), \\quad \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i}_x + T^{i}_{x+1} + T^{i}_{x-1}\\right) + \\frac{0.5}{\\Delta x^{2}} \\left(T^{i}_x - T^{i}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right)\\right )$$" + ], + "text/plain": [ + "⎛0.5⋅\\kappaₓ⋅(-2⋅T_x__{i+1} + T_{x+1}__{i+1} + T_{x-1}__{i+1}) 0.5⋅(T_x__{i+\n", + "⎜───────────────────────────────────────────────────────────── + ─────────────\n", + "⎜ 2 \n", + "⎝ \\Delta x \n", + "\n", + "1} - T_{x-1}__{i+1})⋅(\\kappaₓ - \\kappa_{x-1}) 0.5⋅\\kappaₓ⋅(-2⋅T_x__{i} + T_{x\n", + "─────────────────────────────────────────────, ───────────────────────────────\n", + " 2 \n", + " \\Delta x \\Delta x\n", + "\n", + "+1}__{i} + T_{x-1}__{i}) 0.5⋅(T_x__{i} - T_{x-1}__{i})⋅(\\kappaₓ - \\kappa_{x-\n", + "──────────────────────── + ───────────────────────────────────────────────────\n", + "2 2 \n", + " \\Delta x \n", + "\n", + "1})⎞\n", + "───⎟\n", + " ⎟\n", + " ⎠" + ] + }, + "execution_count": 160, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rhs_new, rhs_old # The two parts of the crank-nicholson RHS." + ] + }, + { + "cell_type": "code", + "execution_count": 161, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "expr = lhs - rhs_new - rhs_old" + ] + }, + { + "cell_type": "code", + "execution_count": 162, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/latex": [ + "$$- \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i+1}_x + T^{i+1}_{x+1} + T^{i+1}_{x-1}\\right) - \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i}_x + T^{i}_{x+1} + T^{i}_{x-1}\\right) - \\frac{0.5}{\\Delta x^{2}} \\left(T^{i+1}_x - T^{i+1}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right) - \\frac{0.5}{\\Delta x^{2}} \\left(T^{i}_x - T^{i}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right) + \\frac{T^{i+1}_x - T^{i}_x}{\\Delta t}$$" + ], + "text/plain": [ + " 0.5⋅\\kappaₓ⋅(-2⋅T_x__{i+1} + T_{x+1}__{i+1} + T_{x-1}__{i+1}) 0.5⋅\\kappaₓ⋅\n", + "- ───────────────────────────────────────────────────────────── - ────────────\n", + " 2 \n", + " \\Delta x \n", + "\n", + "(-2⋅T_x__{i} + T_{x+1}__{i} + T_{x-1}__{i}) 0.5⋅(T_x__{i+1} - T_{x-1}__{i+1}\n", + "─────────────────────────────────────────── - ────────────────────────────────\n", + " 2 \n", + " \\Delta x \\Delta x\n", + "\n", + ")⋅(\\kappaₓ - \\kappa_{x-1}) 0.5⋅(T_x__{i} - T_{x-1}__{i})⋅(\\kappaₓ - \\kappa_{\n", + "────────────────────────── - ─────────────────────────────────────────────────\n", + "2 2 \n", + " \\Delta x \n", + "\n", + "x-1}) T_x__{i+1} - T_x__{i}\n", + "───── + ─────────────────────\n", + " \\Delta t \n", + " " + ] + }, + "execution_count": 162, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "expr" + ] + }, + { + "cell_type": "code", + "execution_count": 163, + "metadata": {}, + "outputs": [], + "source": [ + "poly_form = Poly(expr, tnew_x, tnew_xafter, tnew_xprev, told_x, told_xafter, told_xprev)" + ] + }, + { + "cell_type": "code", + "execution_count": 167, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/latex": [ + "$$\\operatorname{Poly}{\\left( \\frac{1.0 T^{i+1}_x}{\\Delta t \\Delta x^{2}} \\left(0.5 \\Delta t \\kappa_x + 0.5 \\Delta t \\kappa_{x-1} + 1.0 \\Delta x^{2}\\right) - \\frac{0.5 T^{i+1}_{x+1} \\kappa_x}{\\Delta x^{2}} - \\frac{0.5 T^{i+1}_{x-1} \\kappa_{x-1}}{\\Delta x^{2}} + \\frac{1.0 T^{i}_x}{\\Delta t \\Delta x^{2}} \\left(0.5 \\Delta t \\kappa_x + 0.5 \\Delta t \\kappa_{x-1} - 1.0 \\Delta x^{2}\\right) - \\frac{0.5 T^{i}_{x+1} \\kappa_x}{\\Delta x^{2}} - \\frac{0.5 T^{i}_{x-1} \\kappa_{x-1}}{\\Delta x^{2}}, T^{i+1}_x, T^{i+1}_{x+1}, T^{i+1}_{x-1}, T^{i}_x, T^{i}_{x+1}, T^{i}_{x-1}, domain=\\mathbb{R}\\left(\\Delta t, \\Delta x, \\kappa_x, \\kappa_{x-1}\\right) \\right)}$$" + ], + "text/plain": [ + "Poly(1.0*(0.5*\\Delta t*\\kappa_x + 0.5*\\Delta t*\\kappa_{x-1} + 1.0*\\Delta x**2)\n", + "/(\\Delta t*\\Delta x**2)*T^{i+1}_x - 0.5*\\kappa_x/\\Delta x**2*T^{i+1}_{x+1} - 0\n", + ".5*\\kappa_{x-1}/\\Delta x**2*T^{i+1}_{x-1} + 1.0*(0.5*\\Delta t*\\kappa_x + 0.5*\\\n", + "Delta t*\\kappa_{x-1} - 1.0*\\Delta x**2)/(\\Delta t*\\Delta x**2)*T^{i}_x - 0.5*\\\n", + "kappa_x/\\Delta x**2*T^{i}_{x+1} - 0.5*\\kappa_{x-1}/\\Delta x**2*T^{i}_{x-1}, T^\n", + "{i+1}_x, T^{i+1}_{x+1}, T^{i+1}_{x-1}, T^{i}_x, T^{i}_{x+1}, T^{i}_{x-1}, doma\n", + "in='RR(\\Delta t,\\Delta x,\\kappa_x,\\kappa_{x-1})')" + ] + }, + "execution_count": 167, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "poly_form" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The coefficients for the $i+1$ temperature (predicted) are" + ] + }, + { + "cell_type": "code", + "execution_count": 165, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/latex": [ + "$$\\left ( - \\frac{0.5 \\Delta t \\kappa_{x-1}}{\\Delta x^{2}}, \\quad \\frac{1}{\\Delta x^{2}} \\left(0.5 \\Delta t \\kappa_x + 0.5 \\Delta t \\kappa_{x-1} + 1.0 \\Delta x^{2}\\right), \\quad - \\frac{0.5 \\Delta t \\kappa_x}{\\Delta x^{2}}\\right )$$" + ], + "text/plain": [ + "⎛ \n", + "⎜-0.5⋅\\Delta t⋅\\kappa_{x-1} 0.5⋅\\Delta t⋅\\kappaₓ + 0.5⋅\\Delta t⋅\\kappa_{x-1}\n", + "⎜───────────────────────────, ────────────────────────────────────────────────\n", + "⎜ 2 2 \n", + "⎝ \\Delta x \\Delta x \n", + "\n", + " 2 ⎞\n", + " + 1.0⋅\\Delta x -0.5⋅\\Delta t⋅\\kappaₓ ⎟\n", + "────────────────, ──────────────────────⎟\n", + " 2 ⎟\n", + " \\Delta x ⎠" + ] + }, + "execution_count": 165, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(poly_form.coeff_monomial(tnew_xprev)*delta_t).simplify(), (poly_form.coeff_monomial(tnew_x)*delta_t).simplify(), (poly_form.coeff_monomial(tnew_xafter)*delta_t).simplify()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The coefficients for the $i$ temperature (current) are" + ] + }, + { + "cell_type": "code", + "execution_count": 166, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/latex": [ + "$$\\left ( \\frac{0.5 \\Delta t \\kappa_{x-1}}{\\Delta x^{2}}, \\quad \\frac{1}{\\Delta x^{2}} \\left(- 0.5 \\Delta t \\kappa_x - 0.5 \\Delta t \\kappa_{x-1} + 1.0 \\Delta x^{2}\\right), \\quad \\frac{0.5 \\Delta t \\kappa_x}{\\Delta x^{2}}\\right )$$" + ], + "text/plain": [ + "⎛ \n", + "⎜0.5⋅\\Delta t⋅\\kappa_{x-1} -0.5⋅\\Delta t⋅\\kappaₓ - 0.5⋅\\Delta t⋅\\kappa_{x-1} \n", + "⎜─────────────────────────, ──────────────────────────────────────────────────\n", + "⎜ 2 2 \n", + "⎝ \\Delta x \\Delta x \n", + "\n", + " 2 ⎞\n", + "+ 1.0⋅\\Delta x 0.5⋅\\Delta t⋅\\kappaₓ⎟\n", + "───────────────, ────────────────────⎟\n", + " 2 ⎟\n", + " \\Delta x ⎠" + ] + }, + "execution_count": 166, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "-(poly_form.coeff_monomial(told_xprev)*delta_t).simplify(), (poly_form.coeff_monomial(told_x)*-delta_t).simplify(), -(poly_form.coeff_monomial(told_xafter)*delta_t).simplify()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "These are the coefficients for the diagonals of the sparse matrix. The need to be multiplied by $\\frac{1}{\\rho C}$ where $\\rho, C$ are the vertically varying density and specific heat to represent snow and ice. \n", + "\n", + "The $\\kappa$ values are staggered from the $T$ values, since $T$ represents the interface temperatures and $\\kappa$ represents the mid_level values. `K_mid` and `K_bar` in the code therefore interpolate $\\kappa$ values to the interface." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/docs/Makefile b/docs/Makefile new file mode 100644 index 0000000..76070cd --- /dev/null +++ b/docs/Makefile @@ -0,0 +1,177 @@ +# Makefile for Sphinx documentation +# + +# You can set these variables from the command line. +SPHINXOPTS = +SPHINXBUILD = sphinx-build +PAPER = +BUILDDIR = _build + +# User-friendly check for sphinx-build +ifeq ($(shell which $(SPHINXBUILD) >/dev/null 2>&1; echo $$?), 1) +$(error The '$(SPHINXBUILD)' command was not found. Make sure you have Sphinx installed, then set the SPHINXBUILD environment variable to point to the full path of the '$(SPHINXBUILD)' executable. Alternatively you can add the directory with the executable to your PATH. If you don't have Sphinx installed, grab it from http://sphinx-doc.org/) +endif + +# Internal variables. +PAPEROPT_a4 = -D latex_paper_size=a4 +PAPEROPT_letter = -D latex_paper_size=letter +ALLSPHINXOPTS = -d $(BUILDDIR)/doctrees $(PAPEROPT_$(PAPER)) $(SPHINXOPTS) . +# the i18n builder cannot share the environment and doctrees with the others +I18NSPHINXOPTS = $(PAPEROPT_$(PAPER)) $(SPHINXOPTS) . + +.PHONY: help clean html dirhtml singlehtml pickle json htmlhelp qthelp devhelp epub latex latexpdf text man changes linkcheck doctest gettext + +help: + @echo "Please use \`make ' where is one of" + @echo " html to make standalone HTML files" + @echo " dirhtml to make HTML files named index.html in directories" + @echo " singlehtml to make a single large HTML file" + @echo " pickle to make pickle files" + @echo " json to make JSON files" + @echo " htmlhelp to make HTML files and a HTML help project" + @echo " qthelp to make HTML files and a qthelp project" + @echo " devhelp to make HTML files and a Devhelp project" + @echo " epub to make an epub" + @echo " latex to make LaTeX files, you can set PAPER=a4 or PAPER=letter" + @echo " latexpdf to make LaTeX files and run them through pdflatex" + @echo " latexpdfja to make LaTeX files and run them through platex/dvipdfmx" + @echo " text to make text files" + @echo " man to make manual pages" + @echo " texinfo to make Texinfo files" + @echo " info to make Texinfo files and run them through makeinfo" + @echo " gettext to make PO message catalogs" + @echo " changes to make an overview of all changed/added/deprecated items" + @echo " xml to make Docutils-native XML files" + @echo " pseudoxml to make pseudoxml-XML files for display purposes" + @echo " linkcheck to check all external links for integrity" + @echo " doctest to run all doctests embedded in the documentation (if enabled)" + +clean: + rm -rf $(BUILDDIR)/* + +html: + $(SPHINXBUILD) -b html $(ALLSPHINXOPTS) $(BUILDDIR)/html + @echo + @echo "Build finished. The HTML pages are in $(BUILDDIR)/html." + +dirhtml: + $(SPHINXBUILD) -b dirhtml $(ALLSPHINXOPTS) $(BUILDDIR)/dirhtml + @echo + @echo "Build finished. The HTML pages are in $(BUILDDIR)/dirhtml." + +singlehtml: + $(SPHINXBUILD) -b singlehtml $(ALLSPHINXOPTS) $(BUILDDIR)/singlehtml + @echo + @echo "Build finished. The HTML page is in $(BUILDDIR)/singlehtml." + +pickle: + $(SPHINXBUILD) -b pickle $(ALLSPHINXOPTS) $(BUILDDIR)/pickle + @echo + @echo "Build finished; now you can process the pickle files." + +json: + $(SPHINXBUILD) -b json $(ALLSPHINXOPTS) $(BUILDDIR)/json + @echo + @echo "Build finished; now you can process the JSON files." + +htmlhelp: + $(SPHINXBUILD) -b htmlhelp $(ALLSPHINXOPTS) $(BUILDDIR)/htmlhelp + @echo + @echo "Build finished; now you can run HTML Help Workshop with the" \ + ".hhp project file in $(BUILDDIR)/htmlhelp." + +qthelp: + $(SPHINXBUILD) -b qthelp $(ALLSPHINXOPTS) $(BUILDDIR)/qthelp + @echo + @echo "Build finished; now you can run "qcollectiongenerator" with the" \ + ".qhcp project file in $(BUILDDIR)/qthelp, like this:" + @echo "# qcollectiongenerator $(BUILDDIR)/qthelp/climt.qhcp" + @echo "To view the help file:" + @echo "# assistant -collectionFile $(BUILDDIR)/qthelp/climt.qhc" + +devhelp: + $(SPHINXBUILD) -b devhelp $(ALLSPHINXOPTS) $(BUILDDIR)/devhelp + @echo + @echo "Build finished." + @echo "To view the help file:" + @echo "# mkdir -p $$HOME/.local/share/devhelp/climt" + @echo "# ln -s $(BUILDDIR)/devhelp $$HOME/.local/share/devhelp/climt" + @echo "# devhelp" + +epub: + $(SPHINXBUILD) -b epub $(ALLSPHINXOPTS) $(BUILDDIR)/epub + @echo + @echo "Build finished. The epub file is in $(BUILDDIR)/epub." + +latex: + $(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) $(BUILDDIR)/latex + @echo + @echo "Build finished; the LaTeX files are in $(BUILDDIR)/latex." + @echo "Run \`make' in that directory to run these through (pdf)latex" \ + "(use \`make latexpdf' here to do that automatically)." + +latexpdf: + $(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) $(BUILDDIR)/latex + @echo "Running LaTeX files through pdflatex..." + $(MAKE) -C $(BUILDDIR)/latex all-pdf + @echo "pdflatex finished; the PDF files are in $(BUILDDIR)/latex." + +latexpdfja: + $(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) $(BUILDDIR)/latex + @echo "Running LaTeX files through platex and dvipdfmx..." + $(MAKE) -C $(BUILDDIR)/latex all-pdf-ja + @echo "pdflatex finished; the PDF files are in $(BUILDDIR)/latex." + +text: + $(SPHINXBUILD) -b text $(ALLSPHINXOPTS) $(BUILDDIR)/text + @echo + @echo "Build finished. The text files are in $(BUILDDIR)/text." + +man: + $(SPHINXBUILD) -b man $(ALLSPHINXOPTS) $(BUILDDIR)/man + @echo + @echo "Build finished. The manual pages are in $(BUILDDIR)/man." + +texinfo: + $(SPHINXBUILD) -b texinfo $(ALLSPHINXOPTS) $(BUILDDIR)/texinfo + @echo + @echo "Build finished. The Texinfo files are in $(BUILDDIR)/texinfo." + @echo "Run \`make' in that directory to run these through makeinfo" \ + "(use \`make info' here to do that automatically)." + +info: + $(SPHINXBUILD) -b texinfo $(ALLSPHINXOPTS) $(BUILDDIR)/texinfo + @echo "Running Texinfo files through makeinfo..." + make -C $(BUILDDIR)/texinfo info + @echo "makeinfo finished; the Info files are in $(BUILDDIR)/texinfo." + +gettext: + $(SPHINXBUILD) -b gettext $(I18NSPHINXOPTS) $(BUILDDIR)/locale + @echo + @echo "Build finished. The message catalogs are in $(BUILDDIR)/locale." + +changes: + $(SPHINXBUILD) -b changes $(ALLSPHINXOPTS) $(BUILDDIR)/changes + @echo + @echo "The overview file is in $(BUILDDIR)/changes." + +linkcheck: + $(SPHINXBUILD) -b linkcheck $(ALLSPHINXOPTS) $(BUILDDIR)/linkcheck + @echo + @echo "Link check complete; look for any errors in the above output " \ + "or in $(BUILDDIR)/linkcheck/output.txt." + +doctest: + $(SPHINXBUILD) -b doctest $(ALLSPHINXOPTS) $(BUILDDIR)/doctest + @echo "Testing of doctests in the sources finished, look at the " \ + "results in $(BUILDDIR)/doctest/output.txt." + +xml: + $(SPHINXBUILD) -b xml $(ALLSPHINXOPTS) $(BUILDDIR)/xml + @echo + @echo "Build finished. The XML files are in $(BUILDDIR)/xml." + +pseudoxml: + $(SPHINXBUILD) -b pseudoxml $(ALLSPHINXOPTS) $(BUILDDIR)/pseudoxml + @echo + @echo "Build finished. The pseudo-XML files are in $(BUILDDIR)/pseudoxml." diff --git a/docs/authors.rst b/docs/authors.rst new file mode 100644 index 0000000..e122f91 --- /dev/null +++ b/docs/authors.rst @@ -0,0 +1 @@ +.. include:: ../AUTHORS.rst diff --git a/docs/climt.rst b/docs/climt.rst new file mode 100644 index 0000000..4dc640a --- /dev/null +++ b/docs/climt.rst @@ -0,0 +1,10 @@ +climt package +============= + +Module contents +--------------- + +.. automodule:: climt + :members: + :undoc-members: + :show-inheritance: diff --git a/docs/climt_logo.jpg b/docs/climt_logo.jpg new file mode 100644 index 0000000000000000000000000000000000000000..267ce4bec7a30f4772a0efdb599b6e9dc11406ff GIT binary patch literal 1519795 zcmeFYcUV)~wm!U2iUqJCy;uN6nt*fyxY>Yo0qIQvLkS_&Aff2CptOJ>y{R;jCM5|i zpmYTiY665JH3SFe4hJSnoPV4LF z=>QB2M*vs)1^hS!&T0AGzZY=d^+J$GfcphqJ)_${NPrfd4MUj}7^Fmh?MzLSy>sj2XKTOzMHnnL z?w9iTJ46*^-jvO=UH5$v19r(3dUf~DA{a|Lb@XI^OOILhVn~aLcYPaf7`RNb3!IE(ooGatpwbdYS^03{WHt6vb5u$Ebp#Q++zLsYnSE)^6j6o=Put!8yq?6 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Default is the same as +# html_title. +#html_short_title = None + +# The name of an image file (relative to this directory) to place at the +# top of the sidebar. +#html_logo = None + +# The name of an image file (within the static path) to use as favicon +# of the docs. This file should be a Windows icon file (.ico) being +# 16x16 or 32x32 pixels large. +#html_favicon = None + +# Add any paths that contain custom static files (such as style sheets) +# here, relative to this directory. They are copied after the builtin +# static files, so a file named "default.css" will overwrite the builtin +# "default.css". +html_static_path = ['_static'] + +# If not '', a 'Last updated on:' timestamp is inserted at every page +# bottom, using the given strftime format. +#html_last_updated_fmt = '%b %d, %Y' + +# If true, SmartyPants will be used to convert quotes and dashes to +# typographically correct entities. +#html_use_smartypants = True + +# Custom sidebar templates, maps document names to template names. +#html_sidebars = {} + +# Additional templates that should be rendered to pages, maps page names +# to template names. +#html_additional_pages = {} + +# If false, no module index is generated. +html_domain_indices = True + +# If false, no index is generated. +#html_use_index = True + +# If true, the index is split into individual pages for each letter. +#html_split_index = False + +# If true, links to the reST sources are added to the pages. +#html_show_sourcelink = True + +# If true, "Created using Sphinx" is shown in the HTML footer. +# Default is True. +#html_show_sphinx = True + +# If true, "(C) Copyright ..." is shown in the HTML footer. +# Default is True. +#html_show_copyright = True + +# If true, an OpenSearch description file will be output, and all pages +# will contain a tag referring to it. The value of this option +# must be the base URL from which the finished HTML is served. +#html_use_opensearch = '' + +# This is the file name suffix for HTML files (e.g. ".xhtml"). +#html_file_suffix = None + +# Output file base name for HTML help builder. +htmlhelp_basename = 'climtdoc' + + +# -- Options for LaTeX output ------------------------------------------ + +latex_elements = { + # The paper size ('letterpaper' or 'a4paper'). + #'papersize': 'letterpaper', + + # The font size ('10pt', '11pt' or '12pt'). + #'pointsize': '10pt', + + # Additional stuff for the LaTeX preamble. + #'preamble': '', +} + +# Grouping the document tree into LaTeX files. List of tuples +# (source start file, target name, title, author, documentclass +# [howto/manual]). +latex_documents = [ + ('index', 'climt.tex', + u'climt Documentation', + u'Rodrigo Caballero', 'manual'), +] + +# The name of an image file (relative to this directory) to place at +# the top of the title page. +#latex_logo = None + +# For "manual" documents, if this is true, then toplevel headings +# are parts, not chapters. +#latex_use_parts = False + +# If true, show page references after internal links. +#latex_show_pagerefs = False + +# If true, show URL addresses after external links. +#latex_show_urls = False + +# Documents to append as an appendix to all manuals. +#latex_appendices = [] + +# If false, no module index is generated. +latex_domain_indices = True + + +# -- Options for manual page output ------------------------------------ + +# One entry per manual page. List of tuples +# (source start file, name, description, authors, manual section). +man_pages = [ + ('index', 'climt', + u'climt Documentation', + [u'Rodrigo Caballero'], 1) +] + +# If true, show URL addresses after external links. +#man_show_urls = False + + +# -- Options for Texinfo output ---------------------------------------- + +# Grouping the document tree into Texinfo files. List of tuples +# (source start file, target name, title, author, +# dir menu entry, description, category) +texinfo_documents = [ + ('index', 'climt', + u'climt Documentation', + u'Rodrigo Caballero', + 'climt', + 'climt is a Toolkit for building Earth system models in Python.', + 'Miscellaneous'), +] + +# Documents to append as an appendix to all manuals. +#texinfo_appendices = [] + +# If false, no module index is generated. +#texinfo_domain_indices = True + +# How to display URL addresses: 'footnote', 'no', or 'inline'. +#texinfo_show_urls = 'footnote' + +# If true, do not generate a @detailmenu in the "Top" node's menu. +#texinfo_no_detailmenu = False diff --git a/docs/configuration.rst b/docs/configuration.rst new file mode 100644 index 0000000..35bfcd0 --- /dev/null +++ b/docs/configuration.rst @@ -0,0 +1,107 @@ +.. highlight:: python + +========================= +Configuring climt +========================= + +A typical climate model allows the user the following +kinds of configuration: + +* Algorithmic Configuration: Changing the "tuning" parameters + of the algorithms underlying various components. For example, + the kind of advection used in a dynamical core could be configured. +* Memory/Array Configuration: Deciding the grid shapes, and distribution + over multiple processors, if using MPI. +* "Physical" Configuration: Choosing the physical constants that are used + during the simulation. For example, gravitational acceleration or planetary + rotation rate could be varied. +* Behavioural Configuration: Allows modification of component behaviour. For example, + radiative transfer components are called only once every N (>> 1) time steps and the + output is kept constant for the remaining N-1 time steps. +* Compositional Configuration: Describing the components that make up the model, the order + in which components need to be called, among other things. + +Climate models can be configured in many ways, including hard coded configurations, namelists, +shell environment variables. These diverse ways of configuring a climate model make it difficult +to keep track of all configurations and changes made. + +climt aims to keep all configuration in the main run script, but separated logically to ensure +the script is still intuitive to read. + +Algorithmic Configuration +-------------------------- + +Configuring the algorithm used by each component is done by various keyword arguments passed +to the component while creating it. See, for example, the documentation for +:py:mod:`climt.RRTMGShortwave`. + +Memory/Array Configuration +-------------------------- + +climt does not yet support MPI, so there is no API yet to handle distributed arrays. +However, the shape of arrays used by a model can be set while calling +:py:func:`climt.get_default_state`. See, for example, the configuration of arrays in a +`GCM`_. + +Physical Configuration +---------------------- + +climt provides an interface to set and reset constants +required by various components. The constants are put into different categories (:py:data:`boltzmann_constant` +is a 'physical constant' whereas :py:data:`planetary_rotation_rate` is a 'planetary constant', for example). + +The constants can be reset to their default values so that climt is in a known state at the end of +a simulation. In the future, climt will provide a context manager to clean up modified constants +at the end of a run. + +You can read more about this functionality in :ref:`utility_functions`. + +Interfacial Configuration +-------------------------- + +Wrappers are the preferred way of changing the inputs or outputs of a component to make +it apparently work in a different way. + +* Piecewise constant output: Computationally expensive modules like radiative transfer + are sometimes called only once every few timesteps, and the same values is used for + the intermediate timesteps of a model. For example a GCM with a time step of 10 minutes + might only call radiation after 1 hour of model time has elapsed. To allow for such + behaviour, :py:class:`sympl.UpdateFrequencyWrapper` can be used. + See how this can be used practically in this `example`_. + +* TendencyComponent version: Spectral dynamical cores step the model forward in spectral space, + and therefore, they do not play well with :py:mod:`Stepper` + components that step forward the model in grid space. Typically, this is handled by + finite differencing the output of Stepper components and providing them as time tendencies. + :py:mod:`Stepper` components can be wrapped with :py:class:`sympl.TimeDifferencingWrapper` which + returns a component which provides the + time differenced tendencies. The time differencing is done using a first order scheme: + + :math:`\frac{dX}{dt} = (X_{out} - X_{in})/\delta t`. + + See how this is used in the `Grey GCM`_. + +* Scaled version: Very often, we perform experiments where we want to study the sensitivity of the simulation + to a particular quantity or the effect of a certain quantity on the output (mechanism denial). + This is in some instances done by scaling the quantity or setting it to zero (which + is also a scaling). To allow for this kind of modification, :py:class:`sympl.ScalingWrapper` can be used. This is a method + available to all kinds of components (Stepper, TendencyComponent, etc.,). See the documentation for this + method in the description of the base components in :ref:`component_list`. + +Compositional Configuration +---------------------------- + +This kind of configuration will allow the automatic building of models given certain +components selected by the user. +Currently, the user has to write the script to build the model and run it. It is clear that +a lot of this code is repetitive and can be replaced by an entity (Which will be called +:py:mod:`Federation`). + +.. note:: + This functionality is currently unavailble, and will be present in a future version of climt. + + + +.. _GCM: https://github.com/CliMT/climt/blob/a69a23fc2470cc516a41c057976bb3d31ac6f0d7/examples/grey_gcm.py#L56-L59 +.. _example: https://github.com/CliMT/climt/blob/a69a23fc2470cc516a41c057976bb3d31ac6f0d7/examples/full_radiation_gcm_energy_balanced.py#L61 +.. _Grey GCM: https://github.com/CliMT/climt/blob/a69a23fc2470cc516a41c057976bb3d31ac6f0d7/examples/grey_gcm.py#L48 diff --git a/docs/contributing.rst b/docs/contributing.rst new file mode 100644 index 0000000..e582053 --- /dev/null +++ b/docs/contributing.rst @@ -0,0 +1 @@ +.. include:: ../CONTRIBUTING.rst diff --git a/docs/history.rst b/docs/history.rst new file mode 100644 index 0000000..2506499 --- /dev/null +++ b/docs/history.rst @@ -0,0 +1 @@ +.. include:: ../HISTORY.rst diff --git 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message catalogs + echo. changes to make an overview over all changed/added/deprecated items + echo. xml to make Docutils-native XML files + echo. pseudoxml to make pseudoxml-XML files for display purposes + echo. linkcheck to check all external links for integrity + echo. doctest to run all doctests embedded in the documentation if enabled + goto end +) + +if "%1" == "clean" ( + for /d %%i in (%BUILDDIR%\*) do rmdir /q /s %%i + del /q /s %BUILDDIR%\* + goto end +) + + +%SPHINXBUILD% 2> nul +if errorlevel 9009 ( + echo. + echo.The 'sphinx-build' command was not found. Make sure you have Sphinx + echo.installed, then set the SPHINXBUILD environment variable to point + echo.to the full path of the 'sphinx-build' executable. Alternatively you + echo.may add the Sphinx directory to PATH. + echo. + echo.If you don't have Sphinx installed, grab it from + echo.http://sphinx-doc.org/ + exit /b 1 +) + +if "%1" == "html" ( + %SPHINXBUILD% -b html %ALLSPHINXOPTS% %BUILDDIR%/html + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The HTML pages are in %BUILDDIR%/html. + goto end +) + +if "%1" == "dirhtml" ( + %SPHINXBUILD% -b dirhtml %ALLSPHINXOPTS% %BUILDDIR%/dirhtml + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The HTML pages are in %BUILDDIR%/dirhtml. + goto end +) + +if "%1" == "singlehtml" ( + %SPHINXBUILD% -b singlehtml %ALLSPHINXOPTS% %BUILDDIR%/singlehtml + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The HTML pages are in %BUILDDIR%/singlehtml. + goto end +) + +if "%1" == "pickle" ( + %SPHINXBUILD% -b pickle %ALLSPHINXOPTS% %BUILDDIR%/pickle + if errorlevel 1 exit /b 1 + echo. + echo.Build finished; now you can process the pickle files. + goto end +) + +if "%1" == "json" ( + %SPHINXBUILD% -b json %ALLSPHINXOPTS% %BUILDDIR%/json + if errorlevel 1 exit /b 1 + echo. + echo.Build finished; now you can process the JSON files. + goto end +) + +if "%1" == "htmlhelp" ( + %SPHINXBUILD% -b htmlhelp %ALLSPHINXOPTS% %BUILDDIR%/htmlhelp + if errorlevel 1 exit /b 1 + echo. + echo.Build finished; now you can run HTML Help Workshop with the ^ +.hhp project file in %BUILDDIR%/htmlhelp. + goto end +) + +if "%1" == "qthelp" ( + %SPHINXBUILD% -b qthelp %ALLSPHINXOPTS% %BUILDDIR%/qthelp + if errorlevel 1 exit /b 1 + echo. + echo.Build finished; now you can run "qcollectiongenerator" with the ^ +.qhcp project file in %BUILDDIR%/qthelp, like this: + echo.^> qcollectiongenerator %BUILDDIR%\qthelp\climt.qhcp + echo.To view the help file: + echo.^> assistant -collectionFile %BUILDDIR%\qthelp\climt.ghc + goto end +) + +if "%1" == "devhelp" ( + %SPHINXBUILD% -b devhelp %ALLSPHINXOPTS% %BUILDDIR%/devhelp + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. + goto end +) + +if "%1" == "epub" ( + %SPHINXBUILD% -b epub %ALLSPHINXOPTS% %BUILDDIR%/epub + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The epub file is in %BUILDDIR%/epub. + goto end +) + +if "%1" == "latex" ( + %SPHINXBUILD% -b latex %ALLSPHINXOPTS% %BUILDDIR%/latex + if errorlevel 1 exit /b 1 + echo. + echo.Build finished; the LaTeX files are in %BUILDDIR%/latex. + goto end +) + +if "%1" == "latexpdf" ( + %SPHINXBUILD% -b latex %ALLSPHINXOPTS% %BUILDDIR%/latex + cd %BUILDDIR%/latex + make all-pdf + cd %BUILDDIR%/.. + echo. + echo.Build finished; the PDF files are in %BUILDDIR%/latex. + goto end +) + +if "%1" == "latexpdfja" ( + %SPHINXBUILD% -b latex %ALLSPHINXOPTS% %BUILDDIR%/latex + cd %BUILDDIR%/latex + make all-pdf-ja + cd %BUILDDIR%/.. + echo. + echo.Build finished; the PDF files are in %BUILDDIR%/latex. + goto end +) + +if "%1" == "text" ( + %SPHINXBUILD% -b text %ALLSPHINXOPTS% %BUILDDIR%/text + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. 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The message catalogs are in %BUILDDIR%/locale. + goto end +) + +if "%1" == "changes" ( + %SPHINXBUILD% -b changes %ALLSPHINXOPTS% %BUILDDIR%/changes + if errorlevel 1 exit /b 1 + echo. + echo.The overview file is in %BUILDDIR%/changes. + goto end +) + +if "%1" == "linkcheck" ( + %SPHINXBUILD% -b linkcheck %ALLSPHINXOPTS% %BUILDDIR%/linkcheck + if errorlevel 1 exit /b 1 + echo. + echo.Link check complete; look for any errors in the above output ^ +or in %BUILDDIR%/linkcheck/output.txt. + goto end +) + +if "%1" == "doctest" ( + %SPHINXBUILD% -b doctest %ALLSPHINXOPTS% %BUILDDIR%/doctest + if errorlevel 1 exit /b 1 + echo. + echo.Testing of doctests in the sources finished, look at the ^ +results in %BUILDDIR%/doctest/output.txt. + goto end +) + +if "%1" == "xml" ( + %SPHINXBUILD% -b xml %ALLSPHINXOPTS% %BUILDDIR%/xml + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The XML files are in %BUILDDIR%/xml. + goto end +) + +if "%1" == "pseudoxml" ( + %SPHINXBUILD% -b pseudoxml %ALLSPHINXOPTS% %BUILDDIR%/pseudoxml + if errorlevel 1 exit /b 1 + echo. + echo.Build finished. The pseudo-XML files are in %BUILDDIR%/pseudoxml. + goto end +) + +:end diff --git a/docs/memory_management.rst b/docs/memory_management.rst new file mode 100644 index 0000000..77dfc25 --- /dev/null +++ b/docs/memory_management.rst @@ -0,0 +1,80 @@ +================= +Memory Management +================= + +Arrays +------ + +If possible, you should try to be aware of when there are two code references +to the same in-memory array. This can help avoid some common bugs. Let's start +with an example. Say you create a ConstantTendencyComponent object like so:: + + >>> import numpy as np + >>> from climt import ConstantTendencyComponent, DataArray + >>> array = DataArray( + np.ones((5, 5, 10)), + dims=('lon', 'lat', 'lev'), attrs={'units': 'K/s'}) + >>> tendencies = {'air_temperature': array} + >>> prognostic = ConstantTendencyComponent(tendencies) + +This is all fine so far. But it's important to know that now ``array`` is the +same array stored inside ``prognostic``:: + + >>> out_tendencies, out_diagnostics = prognostic({}) + >>> out_tendencies['air_temperature'] is array # same place in memory + True + +So if you were to modify ``array``, it would *change the output given by +prognostic*:: + + >>> array[:] = array[:] * 5. + >>> out_tendencies, out_diagnostics = prognostic({}) + >>> out_tendencies['air_temperature'] is array + True + >>> np.all(out_tendencies['air_temperature'].values == array.values) + True + +When in doubt, assume that any array you put into a component when it is +initialized should not be modified any more, unless changing the values in the +component is intentional. Below is some less (but potentially) useful +information for those interested. + +If instead of modifying ``array``, you make a new array for the python variable +``array`` to refer to, it doesn't modify the array in ``prognostic``:: + + >>> array = array * 5. + >>> out_tendencies, out_diagnostics = prognostic({}) + >>> out_tendencies['air_temperature'] is array + False + >>> np.all(out_tendencies['air_temperature'].values == array.values) + False + +This is because having the ``[:]`` on the left hand side of the assignment +operator ``\=`` tells python that you want to modify the existing memory of the +array on the left hand side. More precisely, having ``array =`` tells python +that you want to change what the variable ``array`` refers to, and set it to +be the thing on the right hand side, while ``array[:] =`` tells python to +call the ``__setitem__(key, value)`` method of ``array`` with the contents +of the square parentheses as the key and the right hand side as the value. + +Interestingly, ``array = array * 5.`` has different behavior from +``array *= 5.``. The first one will change what ``array`` refers to, as before, +while the second one will modify ``array`` in-place without changing the +reference. All similarly written operations (``-=``, ``+=``, ``/=``, etc.) are +in-place operations. When you want to avoid copying data, ``array *= 5.`` is +better since the values of the array will be modified where they already are +in memory, instead of allocating an entirely new array. + +Dictionaries +------------ + +Unlike arrays, the dictionary containers are copied when passed in. Copying +dictionaries is fairly cheap, since the new dictionary will still refer to the +same values (arrays) as before, and all that has to be copied is the key-value +pairs:: + + >>> tendencies['new_quantity'] = array + >>> out_tendencies, out_diagnostics = prognostic({}) + >>> 'new_quantity' in out_tendencies.keys() + False + diff --git a/docs/modules.rst b/docs/modules.rst new file mode 100644 index 0000000..c658f9f --- /dev/null +++ b/docs/modules.rst @@ -0,0 +1,7 @@ +climt +===== + +.. toctree:: + :maxdepth: 4 + + climt diff --git a/docs/naming.rst b/docs/naming.rst new file mode 100644 index 0000000..60e9907 --- /dev/null +++ b/docs/naming.rst @@ -0,0 +1,11 @@ +================= +Naming Quantities +================= + +* Any quantity that is on vertical interface levels should be + named using the form "_on_interface_levels", while quantities + on mid levels should not have anything appended to the variable name. + Quantities that do not specify "_on_interface_levels" are assumed to be on + mid levels. + This must be in the name rather than as an attribute so that the same + coordinate may be present on both half and full levels (with different names). diff --git a/docs/quickstart.rst b/docs/quickstart.rst new file mode 100644 index 0000000..04fddb2 --- /dev/null +++ b/docs/quickstart.rst @@ -0,0 +1,68 @@ +.. highlight:: python + +=========== +Quickstart +=========== + +Let us start with a simple climt model which is not very useful, +but helps illustrate how to use climt: + +.. ipython:: python + + import climt + + # Create some components + radiation = climt.GrayLongwaveRadiation() + + surface = climt.SlabSurface() + + # Get a state dictionary filled with required quantities + # for the components to run + state = climt.get_default_state([radiation, surface]) + + # Run components + tendencies, diagnostics = radiation(state) + + # See output + tendencies.keys() + tendencies['air_temperature'] + +Here, all the essential aspects of creating and running a model +in climt are present: + +* Import the :code:`climt` package + +* Create one or many components + +* Create a state dictionary using :code:`get_default_state` + +* Run the components + +* Do something with the output + +Variables :code:`radiation` and :code:`surface` are two components that we +create. All climt components take a lot of optional arguments: However, by +design, the default options (which are used if you don't specify any arguments) +are meant to be scientifically meaningful. + +The variables :code:`state`, :code:`tendencies` and +:code:`diagnostics` are dictionaries which contain quantities +which act either as inputs **to** components or outputs **from** components. + +The function :code:`get_default_state()`, if called only with a list of components, +will provide a set of quantities which represent +a single column of the atmosphere. These default values may or may not be +meaningful in your context, so it is best to see what they are and change them +according to your needs. + +.. note:: + The square brackets are required in the call to :code:`get_default_state`, even + if it is one component: :code:`climt.get_default_state([radiation])` is the + correct syntax. + +Building more sophisticated models and running them is merely an extended version +of the above simple example. climt makes heavy use of `Sympl`_, and knowledge of +Sympl is necessary to use climt to its full capabilities. So, do go through Sympl's +docs! + +.. _Sympl: http://sympl.readthedocs.io diff --git a/docs/readme.rst b/docs/readme.rst new file mode 100644 index 0000000..72a3355 --- /dev/null +++ b/docs/readme.rst @@ -0,0 +1 @@ +.. include:: ../README.rst diff --git a/docs/realistic.rst b/docs/realistic.rst new file mode 100644 index 0000000..6e24e9b --- /dev/null +++ b/docs/realistic.rst @@ -0,0 +1,82 @@ +.. highlight:: python + +================= +A Realistic Model +================= + +As mentioned before, climt includes some components +which returns the a new version of the model state, +and some which return just tendencies. + +Since tendencies by themselves are not useful for much +other than plotting, we need to couple them with numerical +integration components to march the model forward in time. +Again, we will use the grey radiation scheme as an example. + +The following script is used to obtain the temperature profile +of the atmosphere if no physical process other than radiation +(specifically, grey gas radiation in this example) are present. +The temperature profile obtained is called the **radiative equilibrium** +profile. + +As before, we will create the radiation component and the model state: + +.. ipython:: python + + import climt + import matplotlib.pyplot as plt + import numpy as np + # Two new imports + from sympl import AdamsBashforth + from datetime import timedelta + + # Create some components + radiation = climt.GrayLongwaveRadiation() + + # Get a state dictionary filled with required quantities + # for the components to run + state = climt.get_default_state([radiation]) + +We have two new imports, :code:`AdamsBashforth` and :code:`timedelta`. +The former is a numerical `integrator`_ which will step the model forward +in time, and the latter is a standard python module which will be used to represent +the time step of the model. + +Now, to create the integrator and the timestep: + +.. ipython:: python + + model_time_step = timedelta(hours=1) + model = AdamsBashforth([radiation]) + +We now have a model ready to run! The integrator will return the new model +state and any diagnostics that :code:`radiation` has generated. We can then +update the current model state with the new model state and continue to step +the model forward in time: + +.. ipython:: python + + for step in range(10): + diagnostics, new_state = model(state, model_time_step) + ''' Update state with diagnostics. + This updated state can be saved if necessary ''' + state.update(diagnostics) + '''Update state quantities''' + state.update(new_state) + '''Update model time''' + state['time'] += model_time_step + '''See if the maximum temperature is changing''' + print(state['time'], ': ', state['air_temperature'].max().values) + +And voila, we have a model that actually evolves over time! Many example +scripts that illustrate standard model configurations used in climate +modelling are available in the github `repository`_. These scripts include +examples which setup graphics to view the evolution of the model over time. + +.. note:: + A more user friendly API called :code:`Federation` will be available in + a later version of climt. However, setting up models is easy enough even + without :code:`Federation` once you get used to the workflow. + +.. _integrator: https://en.wikipedia.org/wiki/Linear_multistep_method +.. _repository: https://github.com/CliMT/climt/tree/master/examples diff --git a/docs/rrtmg_clouds.rst b/docs/rrtmg_clouds.rst new file mode 100644 index 0000000..f60c5a3 --- /dev/null +++ b/docs/rrtmg_clouds.rst @@ -0,0 +1,440 @@ +****************************************** +RRTMG - The Rapid Radiative Transfer Model +****************************************** + +============ +Introduction +============ + +Treatment of Clouds +=================== + +There are two methods in RRTMG, which handle clouds in different ways. + +McICA +----- + +McICA allows us to have fractional cloud areas, +by randomly assigning some wavelengths to see cloud +and other wavelengths to see no cloud. +For example if we have a cloud fraction of 40%, +then 40% of the wavelengths see cloud, while the other 60% +do not. + +nomcica +------- + +With nomcica, all of the wavelengths see some cloud. +Using this method for the shortwave we can only have cloud area fractions of +zero and one, representing clear and completely overcast skies. +On the other hand, if we are calculating longwave fluxes, we can also use +fractional cloud area fractions. + + +=============================== +Calculation of radiative fluxes +=============================== + +Longwave +======== + +Two properties are needed to calculate the longwave radiative fluxes; +the absorptivity (or transmittance which equals one minus the absorptivity) +and the emissivity. +Values of these two properties are needed for each model layer, +for both cloudy and clear sky regimes and for each waveband. + +.. code-block:: fortran + + radld = radld * (1 - atrans(lev)) * (1 - efclfrac(lev,ib)) + & + gassrc * (1 - cldfrac(lev)) + bbdtot * atot(lev) * cldfrac(lev) + +The radiative fluxes at each layer(``radld`` +on the left hand side of the equations) are calculated from the +radiative fluxes from the layer above (``radld`` +on the right hand side of the equation) and the properties of +the layer. +The first term in the equation above is fraction of radiative +flux from the layer above that is transmitted through the layer. +``atrans(lev)`` is the gaseous absorptivity and +``efclfrac`` is the absorptivity of the cloud weighted by the +cloud area fraction (`here for nomcica`_). +The other two terms in the above equation are emission terms. +The first of these represents emission from gases in the area of clear sky +and the second represents emission from gases and cloud from the area of cloud. +The equation for the upward longwave flux ``radlu`` is very similar: the flux +is calculated from the radiative flux from the layer below and the properties +of the layer. + +These equations are used with ``nomcica`` when the ``rrtmg_cloud_overlap_method`` +is set to ``random`` and the cloud area fraction is greater +than 10\ :sup:`-6`\. These calculations are in the ``rrtmg_lw_rtrn.f90`` file, +in the `downward radiative transfer loop`_ and +`upward radiative transfer loop`_ respectively. +These equations are also used with ``McICA``. In this case, ``efclfrac`` is either zero or the non-weighted +absorptivity of the cloud and this is allocated randomly to each waveband, +with the number of waveband receiving each depending on the cloud area fraction. +For ``McICA``, these calculations are in the ``rrtmg_lw_rtrnmc.f90`` file, in the +`downward loop`_ and `upward loop`_ respectively. +In both files, in the downward loop there are three different ways of calculating +the absorptivity, which use different approximations for the exponential of the +optical depth. The one that is used depends on the optical depth of the clear sky +and of the total sky. + +.. _`here for nomcica`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrn.f90#L307 +.. _`downward radiative transfer loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrn.f90#L350-L417 +.. _`upward radiative transfer loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrn.f90#L482-L485 +.. _`downward loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrnmc.f90#L339-L406 +.. _`upward loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrnmc.f90#L471-L474 + +With ``nomcica``, if the ``rrtmg_cloud_overlap_method`` is set to any of the +other options except ``random``, the ``rrtmg_lw_rtrnmr.f90`` file +is called. Then, the radiative fluxes are calculated as follows, `at the end of the +downward radiative transfer loop`_. + +.. code-block:: fortran + + cldradd = cldradd * (1._rb - atot(lev)) + cldfrac(lev) * bbdtot * atot(lev) + clrradd = clrradd * (1._rb-atrans(lev)) + (1._rb - cldfrac(lev)) * gassrc + radld = cldradd + clrradd + +The downward radiative flux is split into the clear sky and cloudy components, +``clrradd`` and ``cldradd`` respectively. +Both components contain a transmittance term from the clear or cloudy part, +respectively, of the layer above and an emission term. The emission terms are +identical to those described above. +The fluxes ``clrradd`` and ``cldradd`` are modified by an amount that depends on the change in +cloud fraction between layers before they are used for the calculation of fluxes +in the layer below. + +.. _`at the end of the downward radiative transfer loop`: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/rrtmg_lw_rtrnmr.f90#L571-L575 + + +================= +Clouds with McICA +================= + +A brief description of the different options that can be used in RRTMG with McICA and the input parameters required in each case. + +Cloud properties +================ + +There are three options for the RRTMG ``inflag``, as given in the ``climt`` dictionary: rrtmg_cloud_props_dict_ + +.. _rrtmg_cloud_props_dict: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_components/rrtmg/rrtmg_common.py#L18-L22 + +.. code-block:: python + + rrtmg_cloud_props_dict = { + 'direct_input': 0, + 'single_cloud_type': 1, + 'liquid_and_ice_clouds': 2 + } + +With McICA, we cannot use ``single_cloud_type``, but can choose between ``direct_input`` and ``liquid_and_ice_clouds``. +If we choose ``direct_input``, we input the ``longwave_optical_thickness_due_to_cloud``, ``shortwave_optical_thickness_due_to_cloud``, as well as the shortwave parameters ``single_scattering_albedo_due_to_cloud``, ``cloud_asymmetry_parameter`` and ``cloud_forward_scattering_fraction``. +The ``cloud_forward_scattering_fraction`` is used to scale the other shortwave parameters (``shortwave_optical_thickness_due_to_cloud``, ``single_scattering_albedo_due_to_cloud`` and ``cloud_asymmetry_parameter``), but it is not directly used in the radiative transfer calculations. +If the ``cloud_forward_scattering_fraction`` is set to zero, no scaling is applied. +The other cloud properties, namely ``cloud_ice_particle_size`` and ``cloud_water_droplet_radius``, ``mass_content_of_cloud_ice_in_atmosphere_layer``, and ``mass_content_of_cloud_liquid_water_in_atmosphere_layer`` are completely unused. +The RRTMG ``iceflag`` and ``liqflag`` are irrelevant. + +On the other hand, if we choose ``liquid_and_ice_clouds``, +any input values for ``longwave_optical_thickness_due_to_cloud``, ``shortwave_optical_thickness_due_to_cloud``, ``single_scattering_albedo_due_to_cloud`` and ``cloud_asymmetry_parameter`` are irrelevant. +Instead, these parameters are calculated from the cloud ice and water droplet particle sizes (``cloud_ice_particle_size`` and ``cloud_water_droplet_radius``), as well as the cloud ice and water paths (``mass_content_of_cloud_ice_in_atmosphere_layer``, ``mass_content_of_cloud_liquid_water_in_atmosphere_layer``). +The methods used for the calculations depend on the cloud ice and water properties; ``iceflag`` and ``liqflag`` in RRTMG. + +Regardless of the other cloud input type, ``cloud_area_fraction_in_atmosphere_layer`` is required, +and is used in McICA to determine how much of the wavelength spectrum sees cloud and how much does not. + +Calculation of cloud properties +=============================== + +Longwave +-------- + +For the longwave, the only cloud property of interest for calculating radiative fluxes in RRTMG, is the optical depth. This is calculated at `the end of the longwave cldprmc submodule`_ as: + +.. code-block:: fortran + + taucmc(ig,lay) = ciwpmc(ig,lay) * abscoice(ig) + & + clwpmc(ig,lay) * abscoliq(ig) + +.. _`the end of the longwave cldprmc submodule`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_lw/rrtmg_lw_cldprmc.f90#L246-L247 + +Values of cloud optical depth ``taucmc`` are calculated for each model layer (pressure), ``lay``, and each g-interval, ``ig``. +The cloud ice and liquid absorption coefficients (``abscoice`` and ``abscoliq``) are multiplied by the cloud ice and liquid water paths (``ciwpmc`` and ``clwpmc``) respectively, to give the ice cloud optical depth and the liquid water cloud optical depth. +The cloud ice and liquid water paths are input by the user, in ``climt`` as ``mass_content_of_cloud_ice_in_atmosphere_layer`` and ``mass_content_of_cloud_liquid_water_in_atmosphere_layer`` respectively. +The cloud ice and liquid absorption coefficients are calculated based on the ice and liquid water particle sizes (specified by the user), and this calculation depends on the choice of ``iceflag`` and ``liqflag``. + +Shortwave +--------- + +For the shortwave, there are three cloud properties, which affect the radiative flux calculation in RRTMG, namely the optical depth, the single scattering albedo and the asymmetry parameter. + +The shortwave optical depth is calculated as: + +.. code-block:: fortran + + taucmc(ig,lay) = tauice + tauliq + +with + +.. code-block:: fortran + + tauice = (1 - forwice(ig) + ssacoice(ig)) * ciwpmc(ig,lay) * extcoice(ig) + tauliq = (1 - forwliq(ig) + ssacoliq(ig)) * clwpmc(ig,lay) * extcoliq(ig) + +The single scattering albedo is calculated as: + +.. code-block:: fortran + + ssacmc(ig,lay) = (scatice + scatliq) / taucmc(ig,lay) + +with + +.. code-block:: fortran + + scatice = ssacoice(ig) * (1._rb - forwice(ig)) / (1._rb - forwice(ig) * ssacoice(ig)) * tauice + scatliq = ssacoliq(ig) * (1._rb - forwliq(ig)) / (1._rb - forwliq(ig) * ssacoliq(ig)) * tauliq + + +The asymmetry parameter is given by: + +.. code-block:: fortran + + asmcmc(ig,lay) = 1.0_rb / (scatliq + scatice) * ( & + scatliq * (gliq(ig) - forwliq(ig)) / (1.0_rb - forwliq(ig)) + & + scatice * (gice(ig) - forwice(ig)) / (1.0_rb - forwice(ig)) ) + +The original RRTMG code for these calculations is at `the end of the shortwave cldprmc submodule`_. + +.. _`the end of the shortwave cldprmc submodule`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_sw/rrtmg_sw_cldprmc.f90#L297-L337 + +Values of optical depth, single scattering albedo and asymmetry parameter are calculated for each model layer (pressure), ``lay``, and each g-interval, ``ig``. The cloud ice and liquid water paths (``ciwpmc`` and ``clwpmc``) are input by the user. +The other parameters (``extcoice``, ``extcoliq``, ``ssacoice``, ``ssacoliq``, ``gice``, ``gliq``, ``forwice``, ``forwliq``) are calculated based on the ice and liquid water particle sizes and this calculation depends on the choice of ``iceflag`` and ``liqflag``. + +Cloud ice properties +==================== + +There are four options for the RRTMG ``iceflag``. These are given in the ``climt`` dictionary: rrtmg_cloud_ice_props_dict_ + +.. _rrtmg_cloud_ice_props_dict: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_components/rrtmg/rrtmg_common.py#L29-L34 + +.. code-block:: python + + rrtmg_cloud_ice_props_dict = { + 'ebert_curry_one': 0, + 'ebert_curry_two': 1, + 'key_streamer_manual': 2, + 'fu': 3 + } + + +ebert_curry_one +--------------- + +For the longwave, ``ebert_curry_one`` gives an absorption coefficient of + +``abscoice = 0.005 + 1.0 / radice`` + +Here, ``radice`` is the ice particle size and the absorption coefficient is the same for all wavebands. + +``ebert_curry_one`` should not be used for the shortwave component with McICA. + +ebert_curry_two +--------------- + +``ebert_curry_two`` is the default choice for cloud ice optical properties in ``climt``. +In this case, the longwave absorption coefficient is calculated in `the lw_cldprmc file`_ as follows. + +.. code-block:: fortran + + abscoice(ig) = absice1(1,ib) + absice1(2,ib)/radice + +.. _`the lw_cldprmc file`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_lw/rrtmg_lw_cldprmc.f90#L188-L193 + +The absorption coefficient ``abscoice`` is a function of g-interval ``ig`` and is made up of two contributions. +The first of these ``absice1(1, ib)`` comes from a look up table and is given in [m\ :sup:`2`\ / g]. +``ib`` provides an index for the look up table, based on the waveband of the g-interval. +``absice1(2,ib)`` also comes from a look up table and is given in [microns m\ :sup:`2`\ / g]. It is divided by ``radice``, the cloud ice particle size, providing an ice particle size dependence of the absorption coefficient. +Although the syntax does not emphasise it, the absorption coefficient may also depend on model layer (pressure), as ``radice`` can have model layer dependence. +``radice`` comes from the input property labeled ``cloud_ice_particle_size`` in ``climt``. +The ice particle size dependent term is more important than the independent term (``absice1(2,ib)/radice`` > ``absice1(1,ib)``) at all wavebands for ice particle sizes less than 88 microns. +Using ``ebert_curry_two``, the ice particle size must be in the range [13, 130] microns, and even for larger particle sizes (> 88), the ice particle size dependent term is more important than the independent term for four of the five wavebands. + +For the shortwave, the parameters (required for the optical depth, single scattering albedo and asymmetry) are calculated in `the sw_cldprmc file`_ as follows. + +.. _`the sw_cldprmc file`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_sw/rrtmg_sw_cldprmc.f90#L182-L208 + +.. code-block:: fortran + + extcoice(ig) = abari(icx) + bbari(icx)/radice + ssacoice(ig) = 1._rb - cbari(icx) - dbari(icx) * radice + gice(ig) = ebari(icx) + fbari(icx) * radice + forwice(ig) = gice(ig)*gice(ig) + +``abari``, ``bbari``, ``cbari``, ``dbari``, ``ebari`` and ``fbari`` are all look up tables, containing five values, which correspond to five different wavebands. +The choice of waveband is indicated by ``icx``. +The particle size dependence comes from ``radice``, so each parameter consists of both a size independent and a size dependent contribution. + +.. figure:: ./ice_cloud_optical_depth.png + + *The dependence of cloud optical depth* ``taucmc`` *on cloud ice particle size (with an ice water path of 1), with different lines representing the different wavebands.* + +key_streamer_manual +------------------- + +In this case, both the longwave absorption coefficient and three of the shortwave parameters (``excoice``, ``ssacoice``, ``gice``) are interpolated from look up tables. +Comments in the RRTMG code state that these look up tables are for a spherical ice particle parameterisation. +The look up tables contain 42 values for each of the 16 longwave and 14 shortwave wavebands. +The 42 values correspond to different ice particle radii, evenly spaced in the range [5, 131] microns. +Ice particles must be within this range, otherwise an error is thrown. + +The shortwave parameter ``forwice`` is calculated as the square of ``gice``. + +fu +-- + +The longwave absorption coefficient and shortwave parameters ``extcoice``, ``ssacoice`` and ``gice`` are interpolated from look up tables. +The look up tables differ to those in ``key_streamer_manual``, and +comments in the RRTMG code state that the look up tables for ``fu`` are for a hexagonal ice particle parameterisation. +The look up tables for ``fu`` are slightly larger than those for ``key_streamer_manual``, and the range of allowed values for the ice particle size is corresponding larger ([5, 140] microns). + +The shortwave parameter ``forwice`` is calculated from ``fdelta`` (again taken from look up tables) and ``ssacoice`` as follows. + +.. code-block:: fortran + + forwice(ig) = fdelta(ig) + 0.5_rb / ssacoice(ig) + +The longwave and shortwave parameter calculations can be found in the `longwave cldprmc`_ and `shortwave cldprmc`_ subroutines respectively. + +.. _`longwave cldprmc`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_lw/rrtmg_lw_cldprmc.f90#L211-L223 + +.. _`shortwave cldprmc`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_sw/rrtmg_sw_cldprmc.f90#L235-L262 + +Cloud liquid properties +======================= + +There are two options for the RRTMG ``liqflag``. These are given in the ``climt`` dictionary: rrtmg_cloud_liquid_props_dict_ + +.. _rrtmg_cloud_liquid_props_dict: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_components/rrtmg/rrtmg_common.py#L41-L44 + +.. code-block:: python + + rrtmg_cloud_liquid_props_dict = { + 'radius_independent_absorption': 0, + 'radius_dependent_absorption': 1 + } + + +For ``radius_independent_absorption``, the longwave absorption coefficient is 0.0903614 for all wavebands. +This option should not be used for the shortwave. + +``radius_dependent_absorption`` is the default choice for cloud liquid water properties in ``climt``. +In this case, the longwave absorption coefficient and the shortwave parameters ``extcoliq``, ``ssacoliq``, and ``gliq`` are interpolated from look up tables. +The look up tables have values for particle sizes in the range [2.5, 59.5] microns in 1 micron intervals (58 values) for each of the 16 longwave and 14 shortwave wavebands. +The shortwave parameter ``forwliq`` is calculated as the square of ``gliq``. + + +.. figure:: ./liquid_cloud_optical_depth.png + + *The dependence of cloud optical depth* ``taucmc`` *on cloud liquid water particle size (with a liquid water path of 1), with different lines representing the different wavebands.* + + +Cloud overlap method +==================== + +This is the RRTMG ``icld`` and is given in the climt dictionary: rrtmg_cloud_overlap_method_dict_ + +.. _rrtmg_cloud_overlap_method_dict: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_components/rrtmg/rrtmg_common.py#L6-L11 + +.. code-block:: python + + rrtmg_cloud_overlap_method_dict = { + 'clear_only': 0, + 'random': 1, + 'maximum_random': 2, + 'maximum': 3 + } + +If we choose ``clear_only``, there are no clouds, regardless of the other input. +If we choose ``random``, the g-intervals which see cloud are chosen randomly for +each model layer. This means that there is a dependence on vertical resolution: +if vertical resolution is increased, more layers contain the same cloud +and a larger portion of the wavelength spectrum sees some of the cloud. +With ``maximum_random``, the g-intervals that see cloud in one model layer are +the same as those that see cloud in a neighbouring model layer. +This maximises the cloud overlap between neighbouring layers (within a single +cloud). If the cloud area fraction changes between layers, the additional +g-intervals that see (or don't see) cloud are assigned randomly. Therefore, if +there are two clouds at different altitudes, separated by clear sky, the two +clouds overlap randomly with respect to each other. If ``maximum`` is selected, +cloud overlap is maximised both within and between clouds. + +The implementation is in the `mcica_subcol_gen_sw`_ and `mcica_subcol_gen_lw`_ +files, and consists firstly of assigning each g-interval a random number in the +range [0, 1]. For ``random``, and ``maximum_random`` (cases 1 and 2 in +`mcica_subcol_gen_sw`_ and `mcica_subcol_gen_lw`_), random numbers are generated +for each layer, whereas for ``maximum`` (case 3) only one set of random numbers +is generated and applied to all the layers. For ``maximum_random``, the random +numbers are recalculated to fulfill the assumption about overlap (this +recalculation is described below). +Whether a g-interval at a certain layer sees cloud depends on both the random +number it has been assigned and the cloud fraction at that layer. For example, +if the cloud area fraction is 30%, all g-intervals that have been assigned a +random number > 0.7 (approximately 30% of the g-intervals) will see cloud. +The other g-intervals will see clear-sky. If the cloud fraction is 20%, only +g-intervals with a random number > 0.8 will see cloud. +The recalculation of random numbers in the ``maximum_random`` case for a certain +model layer (layer 2), considers the assigned random numbers and cloud area +fraction of the layer above (layer 1). +If the g-interval sees cloud in layer 1, its random number in layer 2 is +changed so that it matches that in layer 1. This does not necessarily mean that +it will see cloud in layer 2, because the cloud fraction could be smaller in +layer 2 than layer 1 (so the requirement for seeing cloud would be increased). +The random numbers for the g-intervals in layer 2, which do not see cloud in +layer 1, are multiplied by one minus the cloud area fraction of layer 1, so that +the set of random numbers assigned to layer 2 are still randomly distributed in +the range [0, 1]. This is required so that the right proportion of g-intervals +in layer 2 see cloud. + +.. _mcica_subcol_gen_lw: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/mcica_subcol_gen_lw.f90#L347-L470 +.. _mcica_subcol_gen_sw: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_sw/mcica_subcol_gen_sw.f90#L374-L497 + +======================================= +Differences in cloud input with nomcica +======================================= + +Regarding the options that can be used with nomcica, +there are a few differences to those that can be used with McICA. + +Cloud properties +================ + +For the longwave, we can choose ``single_cloud_type`` in the `rrtmg_cloud_props_dict`_. +The longwave cloud optical depth is calculated as follows. + +.. code-block:: fortran + + taucloud(lay,ib) = abscld1 * (ciwp(lay) + clwp(lay)) + +This gives us a cloud optical depth based on a single constant value, ``abscld1`` +and the total cloud water path. +Thus, for this option, the ``mass_content_of_cloud_ice_in_atmosphere_layer``, and +``mass_content_of_cloud_liquid_water_in_atmosphere_layer`` are needed as input. +``single_cloud_type`` is not available for the shortwave. + +If we choose ``liquid_and_ice_clouds``, the calculations of the longwave and shortwave +optical properties from the cloud mass and particle sizes are the same as for McICA, +but are calculated for each waveband instead of each g-interval. + +Cloud overlap method +==================== + +With nomcica choosing a cloud overlap of ``random`` in the +`rrtmg_cloud_overlap_method_dict`_ is different to choosing either +``maximum_random`` or ``maximum``. The latter two options do not differ. +If we choose ``random``, the radiative flux transmitted from one layer to the next +does not care if it came from cloud or clear sky, +whereas with ``maximum_random``, the cloudy and clear fluxes are separated and +treated separately from one model layer to the next. diff --git a/docs/utilities.rst b/docs/utilities.rst new file mode 100644 index 0000000..c20b4fb --- /dev/null +++ b/docs/utilities.rst @@ -0,0 +1,27 @@ +.. _utility_functions: +.. currentmodule:: climt + +General Utilities +================== +This documents some utility functions available in :mod:`climt`. +Most of the constants functionality is inherited from :mod:`sympl`. + +Constants +---------- + +.. autosummary:: + :toctree: generated/ + + list_available_constants + set_constants_from_dict + +Miscellaneous +-------------- + +.. autosummary:: + :toctree: generated/ + + mass_to_volume_mixing_ratio + get_interface_values + + From 1dcf40b84b995c00923afcb912b14a41aeda08b2 Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 20:11:24 +0530 Subject: [PATCH 09/30] modify conf --- docs/conf.py | 26 +++++++++++++------------- 1 file changed, 13 insertions(+), 13 deletions(-) diff --git a/docs/conf.py b/docs/conf.py index dd75adb..aa18455 100644 --- a/docs/conf.py +++ b/docs/conf.py @@ -32,7 +32,7 @@ # version is used. sys.path.insert(0, project_root) -import climt +import gfs_dynamical_core # -- General configuration --------------------------------------------- @@ -64,7 +64,7 @@ master_doc = 'index' # General information about the project. -project = u'climt' +project = u'gfs_dynamical_core' copyright = u"2006-2017, Rodrigo Caballero" # The version info for the project you're documenting, acts as replacement @@ -72,9 +72,9 @@ # the built documents. # # The short X.Y version. -version = climt.__version__ +version = gfs_dynamical_core.__version__ # The full version, including alpha/beta/rc tags. -release = climt.__version__ +release = gfs_dynamical_core.__version__ # The language for content autogenerated by Sphinx. Refer to documentation # for a list of supported languages. @@ -205,7 +205,7 @@ #html_file_suffix = None # Output file base name for HTML help builder. -htmlhelp_basename = 'climtdoc' +htmlhelp_basename = 'gfsdoc' # -- Options for LaTeX output ------------------------------------------ @@ -225,8 +225,8 @@ # (source start file, target name, title, author, documentclass # [howto/manual]). latex_documents = [ - ('index', 'climt.tex', - u'climt Documentation', + ('index', 'gfs_dynamcial_core.tex', + u'gfs_dynamical_core Documentation', u'Rodrigo Caballero', 'manual'), ] @@ -256,8 +256,8 @@ # One entry per manual page. List of tuples # (source start file, name, description, authors, manual section). man_pages = [ - ('index', 'climt', - u'climt Documentation', + ('index', 'gfs_dynamical_core', + u'gfs_dynamical_core Documentation', [u'Rodrigo Caballero'], 1) ] @@ -271,11 +271,11 @@ # (source start file, target name, title, author, # dir menu entry, description, category) texinfo_documents = [ - ('index', 'climt', - u'climt Documentation', + ('index', 'gfs_dynamical_core', + u'gfs_dynamical_core Documentation', u'Rodrigo Caballero', - 'climt', - 'climt is a Toolkit for building Earth system models in Python.', + 'gfs_dynamical_core', + 'gfs_dynamical_core is a Toolkit for building Earth system models in Python.', 'Miscellaneous'), ] From 2f4398ea225a99285a206c514641e1487b460f97 Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 20:16:06 +0530 Subject: [PATCH 10/30] modify readthedocs --- readthedocs.yml | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/readthedocs.yml b/readthedocs.yml index a9a3ed2..8ec317f 100644 --- a/readthedocs.yml +++ b/readthedocs.yml @@ -26,6 +26,6 @@ sphinx: # Optional but recommended, declare the Python requirements required # to build your documentation # See https://docs.readthedocs.io/en/stable/guides/reproducible-builds.html -# python: -# install: -# - requirements: docs/requirements.txt \ No newline at end of file +python: + install: + - requirements: requirements_dev.txt \ No newline at end of file From fa1a60495e999c439dbbd1c2e5e35195df433fe8 Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 20:19:20 +0530 Subject: [PATCH 11/30] modify readthedocs --- readthedocs.yml | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/readthedocs.yml b/readthedocs.yml index 8ec317f..6a57be2 100644 --- a/readthedocs.yml +++ b/readthedocs.yml @@ -28,4 +28,5 @@ sphinx: # See https://docs.readthedocs.io/en/stable/guides/reproducible-builds.html python: install: - - requirements: requirements_dev.txt \ No newline at end of file + - requirements: requirements_dev.txt + setup_py_install: true \ No newline at end of file From 7cfee889cbb41f53628f857dbc11a65fc86f7b12 Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 20:20:13 +0530 Subject: [PATCH 12/30] modify readthedocs --- docs/climt.rst | 2 +- docs/components.rst | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/climt.rst b/docs/climt.rst index 4dc640a..c1ac93d 100644 --- a/docs/climt.rst +++ b/docs/climt.rst @@ -4,7 +4,7 @@ climt package Module contents --------------- -.. automodule:: climt +.. automodule:: gfs-dynamical-core :members: :undoc-members: :show-inheritance: diff --git a/docs/components.rst b/docs/components.rst index 1a40ee1..2e61177 100644 --- a/docs/components.rst +++ b/docs/components.rst @@ -1,5 +1,5 @@ .. _component_list: -.. currentmodule:: climt +.. currentmodule:: gfs-dynamical-core ========== Components From 0a315f6442f3b4036d90a2b16db0d6c811daa7bc Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 20:23:34 +0530 Subject: [PATCH 13/30] modify readthedocs --- readthedocs.yml | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/readthedocs.yml b/readthedocs.yml index 6a57be2..cc229f6 100644 --- a/readthedocs.yml +++ b/readthedocs.yml @@ -29,4 +29,5 @@ sphinx: python: install: - requirements: requirements_dev.txt - setup_py_install: true \ No newline at end of file + - method: setuptools + path: . \ No newline at end of file From 8f99880fc61076815152b616c53bc11bdb4a91cb Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 20:31:49 +0530 Subject: [PATCH 14/30] add dyn_arch --- gfs_dynamical_core/_lib/Makefile | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/gfs_dynamical_core/_lib/Makefile b/gfs_dynamical_core/_lib/Makefile index 87b24d8..a5a4f92 100644 --- a/gfs_dynamical_core/_lib/Makefile +++ b/gfs_dynamical_core/_lib/Makefile @@ -61,7 +61,7 @@ sht_lib: $(CLIMT_ARCH)/libshtns_omp.a blas_lib: $(CLIMT_ARCH)/libopenblas.a $(CLIMT_ARCH)/libopenblas.a: - if [ ! -d $(BLAS_DIR) ]; then mkdir $(BLAS_DIR); tar -xvzf $(BLAS_GZ) -C $(BLAS_DIR) --strip-components=1 > log 2>&1; fi; cd $(BLAS_DIR); CFLAGS=$(CLIMT_CFLAGS) make TARGET=GENERIC NO_SHARED=1 NO_LAPACK=0 > log 2>&1 ; make PREFIX=$(BASE_DIR) NO_SHARED=1 NO_LAPACK=0 install > log.install.blas 2>&1 ; cp ../lib/libopenblas.a $(LIB_DIR) + if [ ! -d $(BLAS_DIR) ]; then mkdir $(BLAS_DIR); tar -xvzf $(BLAS_GZ) -C $(BLAS_DIR) --strip-components=1 > log 2>&1; fi; cd $(BLAS_DIR); CFLAGS=$(CLIMT_CFLAGS) make TARGET=GENERIC DYNAMICAL_ARCH=1 NO_SHARED=1 NO_LAPACK=0 > log 2>&1 ; make PREFIX=$(BASE_DIR) NO_SHARED=1 NO_LAPACK=0 install > log.install.blas 2>&1 ; cp ../lib/libopenblas.a $(LIB_DIR) # GFS Configuration From 9155ed7261a72274ba5809b7ef2d0973d36ca7cc Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 20:40:13 +0530 Subject: [PATCH 15/30] test build --- .github/workflows/python-package.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/python-package.yml b/.github/workflows/python-package.yml index d570bd0..bbac3d6 100644 --- a/.github/workflows/python-package.yml +++ b/.github/workflows/python-package.yml @@ -5,7 +5,7 @@ name: Python package on: push: - branches: [ master] + branches: [ master, develop] pull_request: branches: [ master, develop ] From 365f32fbaaa57a105a1c2259669b7774d52bf226 Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 20:45:29 +0530 Subject: [PATCH 16/30] test build --- readthedocs.yml | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/readthedocs.yml b/readthedocs.yml index cc229f6..d9509eb 100644 --- a/readthedocs.yml +++ b/readthedocs.yml @@ -6,7 +6,10 @@ version: 2 # Set the OS, Python version and other tools you might need build: - os: ubuntu-22.04 + os: ubuntu-20.04 + apt_packages: + - gfortran + - gcc tools: python: "3.10" # You can also specify other tool versions: From f6858abcd61334deccd02e8246a06819f6b84276 Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 21:07:14 +0530 Subject: [PATCH 17/30] removing dyn_arch --- gfs_dynamical_core/_lib/Makefile | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/gfs_dynamical_core/_lib/Makefile b/gfs_dynamical_core/_lib/Makefile index a5a4f92..87b24d8 100644 --- a/gfs_dynamical_core/_lib/Makefile +++ b/gfs_dynamical_core/_lib/Makefile @@ -61,7 +61,7 @@ sht_lib: $(CLIMT_ARCH)/libshtns_omp.a blas_lib: $(CLIMT_ARCH)/libopenblas.a $(CLIMT_ARCH)/libopenblas.a: - if [ ! -d $(BLAS_DIR) ]; then mkdir $(BLAS_DIR); tar -xvzf $(BLAS_GZ) -C $(BLAS_DIR) --strip-components=1 > log 2>&1; fi; cd $(BLAS_DIR); CFLAGS=$(CLIMT_CFLAGS) make TARGET=GENERIC DYNAMICAL_ARCH=1 NO_SHARED=1 NO_LAPACK=0 > log 2>&1 ; make PREFIX=$(BASE_DIR) NO_SHARED=1 NO_LAPACK=0 install > log.install.blas 2>&1 ; cp ../lib/libopenblas.a $(LIB_DIR) + if [ ! -d $(BLAS_DIR) ]; then mkdir $(BLAS_DIR); tar -xvzf $(BLAS_GZ) -C $(BLAS_DIR) --strip-components=1 > log 2>&1; fi; cd $(BLAS_DIR); CFLAGS=$(CLIMT_CFLAGS) make TARGET=GENERIC NO_SHARED=1 NO_LAPACK=0 > log 2>&1 ; make PREFIX=$(BASE_DIR) NO_SHARED=1 NO_LAPACK=0 install > log.install.blas 2>&1 ; cp ../lib/libopenblas.a $(LIB_DIR) # GFS Configuration From d27162bcac27d68c2ae8a31ed091e7941f2c2d77 Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 21:43:29 +0530 Subject: [PATCH 18/30] clean up docs --- docs/Description_of_SecondBEST.ipynb | 281 ---------------- docs/Implicit_Scheme_Derivation.ipynb | 387 ---------------------- docs/climt.rst | 4 +- docs/components.rst | 73 +---- docs/ice_cloud_optical_depth.png | Bin 93977 -> 0 bytes docs/index.rst | 2 +- docs/liquid_cloud_optical_depth.png | Bin 81725 -> 0 bytes docs/modules.rst | 4 +- docs/rrtmg_clouds.rst | 440 -------------------------- docs/utilities.rst | 27 -- 10 files changed, 7 insertions(+), 1211 deletions(-) delete mode 100644 docs/Description_of_SecondBEST.ipynb delete mode 100644 docs/Implicit_Scheme_Derivation.ipynb delete mode 100644 docs/ice_cloud_optical_depth.png delete mode 100644 docs/liquid_cloud_optical_depth.png delete mode 100644 docs/rrtmg_clouds.rst delete mode 100644 docs/utilities.rst diff --git a/docs/Description_of_SecondBEST.ipynb b/docs/Description_of_SecondBEST.ipynb deleted file mode 100644 index 07f813f..0000000 --- a/docs/Description_of_SecondBEST.ipynb +++ /dev/null @@ -1,281 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# SecondBEST\n", - "------------------\n", - "\n", - "`SecondBEST` is a simplified implementation of the Bare Essentials for Surface Transfer (BEST) land surface model. The main simplifications are that `SecondBEST` does not incorporate the effects of vegetation, which reduces a lot of calculations within BEST. We also assume each grid cell is either fully bare soil or snow/ice, i.e, there are no fractional land types. The implementation here follows the description in [Pitman et al.](http://www.geo.utexas.edu/climate/Research/Reprints/Pitman.BMRC.1991.pdf)\n", - "\n", - "This notebook is a ready reference to the equations used in `SecondBEST` so that interested users don't have to read the above reference if they don't wish to. However, if you plan on making heavy use of `SecondBEST`, you are encouraged to do so!" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Notation\n", - "\n", - "**Surface types**:\n", - "* _s_ = air above the surface, or lowest atmospheric model layer.\n", - "* _u_ = upper soil layer. BEST uses three soild layers.\n", - "* _l_ = lower soil layer.\n", - "* _b_ = base soil layer.\n", - "* _n_ = snow.\n", - "* _d_ = intercepted water.\n", - "\n", - "**Spectral regions, phases of water**\n", - "* _L_ = liquid.\n", - "* _F_ = frozen.\n", - "* _SW_ = shortwave.\n", - "* _LW_ = longwave.\n", - "\n", - "**Water content**\n", - "* $X_w$ = volumetric soil liquid water content\n", - "* $X_i$ = volumetric soil ice content" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Soil properties\n", - "\n", - "Certain soil properties are calculated initially based on the soil and area types.\n", - "Currently, `SecondBEST` recognises two soil types: `clay` and `sand`.\n", - "\n", - "* Soil colour ($clr$):\n", - " * 0.2 if `clay`\n", - " * 1.0 if `sand`\n", - "* Soil texture ($tex$):\n", - " * 0 if `clay`\n", - " * 9 if `sand`\n", - " * 0.07 if area type is `land_ice`\n", - "* Soil porosity ($X_v$), Eq. 4.10:\n", - " * $0.6 - 0.03\\times tex$\n", - "* Soil moisture volume fraction at field capacity ($X_{FC}$), Eq. 4.11:\n", - " * $(0.95 - 0.086\\times tex)X_v$\n", - "* Soil moisture volume fraction at wilting point ($X_{wilt}$), Eq. 4.12:\n", - " * $X_v - 0.03$\n", - " * 0.01 when area type is `land_ice`.\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Albedo Calculation\n", - "\n", - "The albedo calculation is described in section 5.0 of Pitman et al. `SecondBEST` calculates albedo in the near-infraread and shortwave separately. This is also quite convenient since RRTMG, the radiative transfer code also uses two separate albedos.\n", - "\n", - "### Bare soil\n", - "\n", - "The albedo for bare soil is calculated as (Eqns. 5.5, 5.6):\n", - "$$\\alpha_{SW,u} = 0.10 + 0.1clr + 0.06(1-W_{L,u})\\\\\n", - "\\alpha_{LW,u} = 2\\alpha_{SW,u}$$\n", - "\n", - "where $clr$ is the soil colour defined above.\n", - "\n", - "$W_{L,u}$ is the soil wetness factor, and is defined as the ratio of the\n", - "liquid soil water content in the upper soil layer to its porosity.\n", - "\n", - "$$W_{L,u} = X_{w,u}/X_v$$\n", - "\n", - "### Land Ice\n", - "\n", - "The albedo of Land Ice is calculated as (Eqns. 5.7, 5.8):\n", - "$$\\alpha_{SW,u} = 0.60 + 0.06(1-W_{L,u}) \\\\\n", - "\\alpha_{LW,u} = \\frac{1}{3}\\alpha_{SW,u}$$\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Surface drag parameters\n", - "\n", - "`SecondBEST` calculates the drag parameters as in section 6 of Pitman et al.\n", - "\n", - "### Roughness length\n", - "\n", - "$$ z_0 = \\left \\{ \\begin{array}{1} 0.01m,\\ (soil) \\\\ 0.001m,\\ (snow\\ or\\ ice)\\\\ 0.0002m,\\ (sea) \\end{array} \\right .$$\n", - "\n", - "### Neutral drag coefficient\n", - "\n", - "$$ C_{DN} = \\left ( \\frac{\\kappa}{\\log{z_m} - \\log{z_0}} \\right )^2 ,$$\n", - "\n", - "where $z_m$ is the hydrostatic mid-level height of the lowest atmosphere level and $\\kappa$ is the von Karman constant.\n", - "\n", - "### Normalised mixing length\n", - "\n", - "$$\\zeta = \\exp{\\left (\\frac{-\\kappa}{\\sqrt{C_{DN}}}\\right )}$$\n", - "\n", - "### Richardson number\n", - "\n", - "$$Ri = -\\frac{gz_m}{T_s U_m^2}\\left [ T_u - T_s\\right ] $$\n", - "\n", - "Where $U_m$ is the magnitude of the wind speed at the lowest model level and the other notation is as before. $U_m$ has a minimum value that can be set during initialisation of `SecondBEST`.\n", - "A negative Richardson number indicates unstable conditions.\n", - "\n", - "### Momentum drag coefficient\n", - "\n", - "$$ C_{Dm} = \\left \\{ \\begin{array}{1} C_{DN}\\left [ 1 - \\frac{8Ri}{1 + 56.768 C_{DN}\\sqrt{\\frac{-Ri}{\\zeta}}}\\right ],\\ Ri<0 \\\\ C_{DN} \\left [\\frac{(1 - 4\\epsilon Ri)^2}{1 + 8(1-\\epsilon)Ri} \\right ],\\ Ri \\ge 0 \\end{array} \\right .$$\n", - "\n", - "### Heat and other scalars drag coefficient\n", - "$$ C_{Dh} = \\left \\{ \\begin{array}{1} C_{DN}\\left [ 1 - \\frac{12Ri}{1 + 41.801 C_{DN}\\sqrt{\\frac{-Ri}{\\zeta}}}\\right ],\\ Ri<0 \\\\ C_{DN} \\left [\\frac{1 - 4\\epsilon Ri}{1 + (6-4\\epsilon)Ri} \\right ]^2,\\ Ri \\ge 0 \\end{array} \\right .$$\n", - "\n", - "where $\\epsilon$ is 0.01 for land and 1.0 for oceans." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Surface fluxes\n", - "\n", - "The equations are from Section 8. in Pitman et al.\n", - "\n", - "### Sensible heat flux (Eq. 8.3)\n", - "\n", - "is given by the relatively well known bulk aerodynamic formula.\n", - "\n", - "$$SHF = \\rho_s C_{pd} U_m C_{Dh} (T_u - T_s)$$\n", - "\n", - "where $C_{pd}$ is the heat capacity at constant pressure of dry air, and $\\rho_s$ is the density of air at the surface.\n", - "\n", - "### Latent heat flux (Eq. 8.4)\n", - "\n", - "is also given by the bulk formula\n", - "\n", - "$$LHF = L_v\\rho_s U_m C_{Dh} \\beta_u(q^*_u - q_s) $$\n", - "\n", - "where $q^*_u$ is the saturation specific humidity at the soil surface. A \"wetness factor\", $\\beta_u$, is also required, defined as\n", - "\n", - "$$\\beta_u = \\left \\{ \\begin{array}{1} 1,\\ snow\\\\ \\frac{W_{F,u}L_v}{L_i} + \\frac{E_{usmax}}{E_{usP}},\\ soil\\end{array} \\right .$$\n", - "\n", - "$L_v$ is the latent heat of vapourisation, $L_i$ is the latent heat of sublimation, $W_{F,u}$ is the frozen soil moisture in the upper soil layer. The first term containing these terms represents the rate at which frozen soil can sublimate.\n", - "\n", - "$E_{usP}$ is the potential evaporation rate at the soil surface,\n", - "\n", - "$$E_{usP} = \\rho_s c_u (q^*_u - q_s)$$\n", - "\n", - "where $c_u$ is the soil conductance, defined as (Eq. 7.22)\n", - "\n", - "$$c_u = C_{Dh}U_m.$$\n", - "\n", - "$E_{usmax}$ is the exfiltration rate given by\n", - "\n", - "$$E_{usmax} = K_{HD}\\Theta_u^{0.5B + 2} - K_{H0}\\Theta_u^{2B + 3}$$\n", - "\n", - "Where\n", - "\n", - "$$B = \\left \\{ \\begin{array} 10,\\ clay\\\\ 4,\\ sand\\end{array} \\right .$$\n", - "\n", - "$$K_{H0} = \\left \\{ \\begin{array} 0.001,\\ clay\\\\ 0.1,\\ sand \\end{array} \\right .$$\n", - "\n", - "and\n", - "$$K_{HD} = \\left ( \\frac{-4K_{H0}B\\Psi_0\\rho_wX_v(1 - W_{F,u})}{\\pi\\Delta t}\\right )$$\n", - "\n", - "where \n", - "* $\\rho_w$ is the density of the water \n", - "* $\\Psi_0 = -0.2m$ for all soil types is the soil suction at saturation.\n", - "* $\\Delta t$ is the model time step\n", - "* $\\pi$ is the constant.\n", - "\n", - "$\\Theta_u$ is defined as\n", - "\n", - "$$\\Theta_u = \\frac{W_{L,u} - 0.01}{1 - W_{F,u}}$$\n", - "\n", - "The wetness factors $W_{L,x}$ in the soil in the upper and lower layers is **NOT** allowed to fall below 0.01 due to physical and numerical issues.\n", - "\n", - "### Momentum fluxes\n", - "\n", - "are directly calculated from the momentum bulk coefficient\n", - "$$U_s = -\\rho_s C_{Dm}U_mu$$" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Surface energy balance\n", - "\n", - "The energy balance is straightforward once the latent and sensible heat fluxes are known.\n", - "Adding the radiative fluxes completes the balance.\n", - "\n", - "$$Net = Net_{SW} + Net_{LW} - LHF - SHF$$" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Moisture and heat conduction through snow, ice and soil\n", - "\n", - "The transfer of heat and moisture through the snow-ice-soil pack requires solving\n", - "the diffusion equation along with local sources and sinks of heat and moisture which correspond to freezing/melting of water.\n", - "\n", - "The conservation laws are:\n", - "\n", - "$$c_vT_t = G_z + L_f\\Gamma + c_{pw}RT_z - T_t(fict)$$\n", - "\n", - "$$\\rho_w (X_w)_t = (R - (1-f_i)E)_z - \\Gamma - \\Pi$$\n", - "\n", - "$$\\rho_i(X_i)_t = -(f_i E)_z + \\Gamma$$\n", - "\n", - "where\n", - "\n", - "$f_i = X_i/(X_w + X_i)$, $c_v$ is a volumetric heat capacity for soil.\n", - "\n", - "$\\Gamma = \\frac{c_v}{L_f}\\frac{(T_f - T)}{\\Delta t}$ is the potential ice production rate, which is zero if there is no water for freezing or ice for melting.\n", - "\n", - "$\\Pi = A_vE_c/\\Delta z$ is the water removed by transpiration, which is zero in this component (no vegetation effects)\n", - "\n", - "And the flux densities are\n", - "\n", - "$G = K_T T_z$\n", - "\n", - "$R = \\rho_w K_H(1 + \\psi_z) = \\rho_w K_H(z + \\psi)_z$\n", - "for water\n", - "\n", - "$E = \\left \\{ \\begin{array}\\\\ 0,\\ z < 0\\\\ E_{us},\\ z=0 \\end{array} \\right .$\n", - "for water vapour\n", - "\n", - "$T_t(fict)$ is a fictional source that is not necessary in our case since we are solving the full heat/mass transfer equations.\n", - "\n", - "\n", - "### Bottom Boundary conditions\n", - "\n", - "We use a Neumann condition for all variables $()_z=0$, representing a sink of energy and water to the deep soil.\n", - "\n", - "### Numerical scheme\n", - "\n", - "We use an implicit scheme to step forward the diffusive (density) terms and an Euler scheme to step forward the other sources and sinks. The term $c_{pw}RT_z$ represents advection, and this will set the CFL condition $\\Delta z/(c_{pw}R) > \\Delta t/2$ where $\\Delta t$ is the timestep to be used." - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.5.2" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/docs/Implicit_Scheme_Derivation.ipynb b/docs/Implicit_Scheme_Derivation.ipynb deleted file mode 100644 index bbbf80b..0000000 --- a/docs/Implicit_Scheme_Derivation.ipynb +++ /dev/null @@ -1,387 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Deriving coefficients for the implicit scheme\n", - "---------------------------------------------------\n", - "\n", - "The ice sheet energy balance model uses an implicit scheme to solve the\n", - "heat equation for $N$ layers. It uses the Crank-Nicholson scheme to discretise\n", - "the equations. For an equation in one space dimension $x$\n", - "\n", - "$\\frac{df}{dt} = F$,\n", - "\n", - "the Crank-Nicholson scheme discretises the equation as\n", - "\n", - "$\\frac{f^{i+1}_x - f^{i}_x}{\\Delta t} = 0.5\\left [ F^{i+1}_x + F^{i}_x \\right ]$\n", - "\n", - "where the superscript is time and the subscript is space." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "from sympy import *\n", - "init_printing()" - ] - }, - { - "cell_type": "code", - "execution_count": 141, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "tnew_x = Symbol('T^{i+1}_x')\n", - "tnew_xprev = Symbol('T^{i+1}_{x-1}')\n", - "tnew_xafter = Symbol('T^{i+1}_{x+1}')\n", - "\n", - "told_x = Symbol('T^{i}_x')\n", - "told_xprev = Symbol('T^{i}_{x-1}')\n", - "told_xafter = Symbol('T^{i}_{x+1}')\n", - "\n", - "u_x = Symbol('\\kappa_x')\n", - "u_xprev = Symbol('\\kappa_{x-1}')\n", - "u_xafter = Symbol('\\kappa_{x+1}')\n", - "\n", - "delta_t = Symbol('\\Delta t')\n", - "delta_x = Symbol('\\Delta x')" - ] - }, - { - "cell_type": "code", - "execution_count": 142, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/latex": [ - "$$\\left ( T^{i}_x, \\quad \\kappa_{x-1}, \\quad T^{i+1}_{x+1}, \\quad \\Delta x\\right )$$" - ], - "text/plain": [ - "(T_x__{i}, \\kappa_{x-1}, T_{x+1}__{i+1}, \\Delta x)" - ] - }, - "execution_count": 142, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "told_x, u_xprev, tnew_xafter, delta_x" - ] - }, - { - "cell_type": "code", - "execution_count": 143, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "lhs = (tnew_x - told_x)/delta_t" - ] - }, - { - "cell_type": "code", - "execution_count": 144, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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"text/latex": [ - "$$\\frac{T^{i+1}_x - T^{i}_x}{\\Delta t}$$" - ], - "text/plain": [ - "T_x__{i+1} - T_x__{i}\n", - "─────────────────────\n", - " \\Delta t " - ] - }, - "execution_count": 144, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "lhs # The time derivative" - ] - }, - { - "cell_type": "code", - "execution_count": 158, - "metadata": {}, - "outputs": [], - "source": [ - "rhs_new = 0.5*(u_x*(tnew_xprev - 2*tnew_x + tnew_xafter)/delta_x**2 + \n", - " ((tnew_x - tnew_xprev)/(delta_x))*((u_x - u_xprev)/(delta_x)))" - ] - }, - { - "cell_type": "code", - "execution_count": 159, - "metadata": {}, - "outputs": [], - "source": [ - "rhs_old = 0.5*(u_x*(told_xprev - 2*told_x + told_xafter)/delta_x**2 + \n", - " ((told_x - told_xprev)/(delta_x))*((u_x - u_xprev)/(delta_x)))" - ] - }, - { - "cell_type": "code", - "execution_count": 160, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/latex": [ - "$$\\left ( \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i+1}_x + T^{i+1}_{x+1} + T^{i+1}_{x-1}\\right) + \\frac{0.5}{\\Delta x^{2}} \\left(T^{i+1}_x - T^{i+1}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right), \\quad \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i}_x + T^{i}_{x+1} + T^{i}_{x-1}\\right) + \\frac{0.5}{\\Delta x^{2}} \\left(T^{i}_x - T^{i}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right)\\right )$$" - ], - "text/plain": [ - "⎛0.5⋅\\kappaₓ⋅(-2⋅T_x__{i+1} + T_{x+1}__{i+1} + T_{x-1}__{i+1}) 0.5⋅(T_x__{i+\n", - "⎜───────────────────────────────────────────────────────────── + ─────────────\n", - "⎜ 2 \n", - "⎝ \\Delta x \n", - "\n", - "1} - T_{x-1}__{i+1})⋅(\\kappaₓ - \\kappa_{x-1}) 0.5⋅\\kappaₓ⋅(-2⋅T_x__{i} + T_{x\n", - "─────────────────────────────────────────────, ───────────────────────────────\n", - " 2 \n", - " \\Delta x \\Delta x\n", - "\n", - "+1}__{i} + T_{x-1}__{i}) 0.5⋅(T_x__{i} - T_{x-1}__{i})⋅(\\kappaₓ - \\kappa_{x-\n", - "──────────────────────── + ───────────────────────────────────────────────────\n", - "2 2 \n", - " \\Delta x \n", - "\n", - "1})⎞\n", - "───⎟\n", - " ⎟\n", - " ⎠" - ] - }, - "execution_count": 160, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "rhs_new, rhs_old # The two parts of the crank-nicholson RHS." - ] - }, - { - "cell_type": "code", - "execution_count": 161, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "expr = lhs - rhs_new - rhs_old" - ] - }, - { - "cell_type": "code", - "execution_count": 162, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/latex": [ - "$$- \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i+1}_x + T^{i+1}_{x+1} + T^{i+1}_{x-1}\\right) - \\frac{0.5 \\kappa_x}{\\Delta x^{2}} \\left(- 2 T^{i}_x + T^{i}_{x+1} + T^{i}_{x-1}\\right) - \\frac{0.5}{\\Delta x^{2}} \\left(T^{i+1}_x - T^{i+1}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right) - \\frac{0.5}{\\Delta x^{2}} \\left(T^{i}_x - T^{i}_{x-1}\\right) \\left(\\kappa_x - \\kappa_{x-1}\\right) + \\frac{T^{i+1}_x - T^{i}_x}{\\Delta t}$$" - ], - "text/plain": [ - " 0.5⋅\\kappaₓ⋅(-2⋅T_x__{i+1} + T_{x+1}__{i+1} + T_{x-1}__{i+1}) 0.5⋅\\kappaₓ⋅\n", - "- ───────────────────────────────────────────────────────────── - ────────────\n", - " 2 \n", - " \\Delta x \n", - "\n", - "(-2⋅T_x__{i} + T_{x+1}__{i} + T_{x-1}__{i}) 0.5⋅(T_x__{i+1} - T_{x-1}__{i+1}\n", - "─────────────────────────────────────────── - ────────────────────────────────\n", - " 2 \n", - " \\Delta x \\Delta x\n", - "\n", - ")⋅(\\kappaₓ - \\kappa_{x-1}) 0.5⋅(T_x__{i} - T_{x-1}__{i})⋅(\\kappaₓ - \\kappa_{\n", - "────────────────────────── - ─────────────────────────────────────────────────\n", - "2 2 \n", - " \\Delta x \n", - "\n", - "x-1}) T_x__{i+1} - T_x__{i}\n", - "───── + ─────────────────────\n", - " \\Delta t \n", - " " - ] - }, - "execution_count": 162, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "expr" - ] - }, - { - "cell_type": "code", - "execution_count": 163, - "metadata": {}, - "outputs": [], - "source": [ - "poly_form = Poly(expr, tnew_x, tnew_xafter, tnew_xprev, told_x, told_xafter, told_xprev)" - ] - }, - { - "cell_type": "code", - "execution_count": 167, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/latex": [ - "$$\\operatorname{Poly}{\\left( \\frac{1.0 T^{i+1}_x}{\\Delta t \\Delta x^{2}} \\left(0.5 \\Delta t \\kappa_x + 0.5 \\Delta t \\kappa_{x-1} + 1.0 \\Delta x^{2}\\right) - \\frac{0.5 T^{i+1}_{x+1} \\kappa_x}{\\Delta x^{2}} - \\frac{0.5 T^{i+1}_{x-1} \\kappa_{x-1}}{\\Delta x^{2}} + \\frac{1.0 T^{i}_x}{\\Delta t \\Delta x^{2}} \\left(0.5 \\Delta t \\kappa_x + 0.5 \\Delta t \\kappa_{x-1} - 1.0 \\Delta x^{2}\\right) - \\frac{0.5 T^{i}_{x+1} \\kappa_x}{\\Delta x^{2}} - \\frac{0.5 T^{i}_{x-1} \\kappa_{x-1}}{\\Delta x^{2}}, T^{i+1}_x, T^{i+1}_{x+1}, T^{i+1}_{x-1}, T^{i}_x, T^{i}_{x+1}, T^{i}_{x-1}, domain=\\mathbb{R}\\left(\\Delta t, \\Delta x, \\kappa_x, \\kappa_{x-1}\\right) \\right)}$$" - ], - "text/plain": [ - "Poly(1.0*(0.5*\\Delta t*\\kappa_x + 0.5*\\Delta t*\\kappa_{x-1} + 1.0*\\Delta x**2)\n", - "/(\\Delta t*\\Delta x**2)*T^{i+1}_x - 0.5*\\kappa_x/\\Delta x**2*T^{i+1}_{x+1} - 0\n", - ".5*\\kappa_{x-1}/\\Delta x**2*T^{i+1}_{x-1} + 1.0*(0.5*\\Delta t*\\kappa_x + 0.5*\\\n", - "Delta t*\\kappa_{x-1} - 1.0*\\Delta x**2)/(\\Delta t*\\Delta x**2)*T^{i}_x - 0.5*\\\n", - "kappa_x/\\Delta x**2*T^{i}_{x+1} - 0.5*\\kappa_{x-1}/\\Delta x**2*T^{i}_{x-1}, T^\n", - "{i+1}_x, T^{i+1}_{x+1}, T^{i+1}_{x-1}, T^{i}_x, T^{i}_{x+1}, T^{i}_{x-1}, doma\n", - "in='RR(\\Delta t,\\Delta x,\\kappa_x,\\kappa_{x-1})')" - ] - }, - "execution_count": 167, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "poly_form" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The coefficients for the $i+1$ temperature (predicted) are" - ] - }, - { - "cell_type": "code", - "execution_count": 165, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/latex": [ - "$$\\left ( - \\frac{0.5 \\Delta t \\kappa_{x-1}}{\\Delta x^{2}}, \\quad \\frac{1}{\\Delta x^{2}} \\left(0.5 \\Delta t \\kappa_x + 0.5 \\Delta t \\kappa_{x-1} + 1.0 \\Delta x^{2}\\right), \\quad - \\frac{0.5 \\Delta t \\kappa_x}{\\Delta x^{2}}\\right )$$" - ], - "text/plain": [ - "⎛ \n", - "⎜-0.5⋅\\Delta t⋅\\kappa_{x-1} 0.5⋅\\Delta t⋅\\kappaₓ + 0.5⋅\\Delta t⋅\\kappa_{x-1}\n", - "⎜───────────────────────────, ────────────────────────────────────────────────\n", - "⎜ 2 2 \n", - "⎝ \\Delta x \\Delta x \n", - "\n", - " 2 ⎞\n", - " + 1.0⋅\\Delta x -0.5⋅\\Delta t⋅\\kappaₓ ⎟\n", - "────────────────, ──────────────────────⎟\n", - " 2 ⎟\n", - " \\Delta x ⎠" - ] - }, - "execution_count": 165, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "(poly_form.coeff_monomial(tnew_xprev)*delta_t).simplify(), (poly_form.coeff_monomial(tnew_x)*delta_t).simplify(), (poly_form.coeff_monomial(tnew_xafter)*delta_t).simplify()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The coefficients for the $i$ temperature (current) are" - ] - }, - { - "cell_type": "code", - "execution_count": 166, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAncAAAAyBAMAAADM7uCnAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nHLtI1mEXGS0ERuiEDH8DvBGKKArwWNkAAAAASUVORK5CYII=\n", - "text/latex": [ - "$$\\left ( \\frac{0.5 \\Delta t \\kappa_{x-1}}{\\Delta x^{2}}, \\quad \\frac{1}{\\Delta x^{2}} \\left(- 0.5 \\Delta t \\kappa_x - 0.5 \\Delta t \\kappa_{x-1} + 1.0 \\Delta x^{2}\\right), \\quad \\frac{0.5 \\Delta t \\kappa_x}{\\Delta x^{2}}\\right )$$" - ], - "text/plain": [ - "⎛ \n", - "⎜0.5⋅\\Delta t⋅\\kappa_{x-1} -0.5⋅\\Delta t⋅\\kappaₓ - 0.5⋅\\Delta t⋅\\kappa_{x-1} \n", - "⎜─────────────────────────, ──────────────────────────────────────────────────\n", - "⎜ 2 2 \n", - "⎝ \\Delta x \\Delta x \n", - "\n", - " 2 ⎞\n", - "+ 1.0⋅\\Delta x 0.5⋅\\Delta t⋅\\kappaₓ⎟\n", - "───────────────, ────────────────────⎟\n", - " 2 ⎟\n", - " \\Delta x ⎠" - ] - }, - "execution_count": 166, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "-(poly_form.coeff_monomial(told_xprev)*delta_t).simplify(), (poly_form.coeff_monomial(told_x)*-delta_t).simplify(), -(poly_form.coeff_monomial(told_xafter)*delta_t).simplify()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "These are the coefficients for the diagonals of the sparse matrix. The need to be multiplied by $\\frac{1}{\\rho C}$ where $\\rho, C$ are the vertically varying density and specific heat to represent snow and ice. \n", - "\n", - "The $\\kappa$ values are staggered from the $T$ values, since $T$ represents the interface temperatures and $\\kappa$ represents the mid_level values. `K_mid` and `K_bar` in the code therefore interpolate $\\kappa$ values to the interface." - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.5" - } - }, - "nbformat": 4, - "nbformat_minor": 1 -} diff --git a/docs/climt.rst b/docs/climt.rst index c1ac93d..afcb08c 100644 --- a/docs/climt.rst +++ b/docs/climt.rst @@ -1,10 +1,10 @@ -climt package +gfs_dynamical_core package ============= Module contents --------------- -.. automodule:: gfs-dynamical-core +.. automodule:: gfs_dynamical_core :members: :undoc-members: :show-inheritance: diff --git a/docs/components.rst b/docs/components.rst index 2e61177..044370f 100644 --- a/docs/components.rst +++ b/docs/components.rst @@ -5,7 +5,7 @@ Components ========== -This page documents the different components available through climt. +This page documents the different components available through gfs_dynamical_core. Dynamics @@ -15,73 +15,4 @@ Dynamics :toctree: generated/ GFSDynamicalCore - GFSDynamicalCore.__call__ - -Radiation ---------- - -.. autosummary:: - :toctree: generated/ - - RRTMGLongwave - RRTMGLongwave.__call__ - - RRTMGShortwave - RRTMGShortwave.__call__ - - GrayLongwaveRadiation - GrayLongwaveRadiation.__call__ - - Frierson06LongwaveOpticalDepth - Frierson06LongwaveOpticalDepth.__call__ - - Instellation - Instellation.__call__ - -Convection ----------- - -.. autosummary:: - :toctree: generated/ - - EmanuelConvection - EmanuelConvection.__call__ - - DryConvectiveAdjustment - DryConvectiveAdjustment.__call__ - -Surface Processes ------------------ - -.. autosummary:: - :toctree: generated/ - - SimplePhysics - SimplePhysics.__call__ - - SlabSurface - SlabSurface.__call__ - - BucketHydrology - BucketHydrology.__call__ - -Ice and Snow ------------- - -.. autosummary:: - :toctree: generated/ - - IceSheet - IceSheet.__call__ - -Test Cases ------------ - -.. autosummary:: - :toctree: 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zKx`sA5M)fUco|Jk54U(6|9*WLM4Sc94l3}|@?gt^oaVVO-A7e4n3O@0|GX=fy&ovY z68H!t7$XT0%zDMYe?Jp8Y7V$VXXu$hNN}lWrUrvEAlOX7`8Y#|;$XSe?DMI1w~Tow zQy?aRiVQ=Fr$7K^!a8DLVfDB;ZlL4ogO;%T==6tMr2<`~X5n<8T<$3--6cZEc1xkx*zDE50 z;x{Y7=?75jd9V8g(9)j=?-qBm>d)pN`5e->f*{23uNs7u&c5DHO-)tVd>FOl*>tuH zt$1~_%Gj3=E+<<3m(tm@yHNM~!u(@i*n)LKlz7we_5ZAwsh0kaidyjhO^FSuxgixh z ``absice1(1,ib)``) at all wavebands for ice particle sizes less than 88 microns. -Using ``ebert_curry_two``, the ice particle size must be in the range [13, 130] microns, and even for larger particle sizes (> 88), the ice particle size dependent term is more important than the independent term for four of the five wavebands. - -For the shortwave, the parameters (required for the optical depth, single scattering albedo and asymmetry) are calculated in `the sw_cldprmc file`_ as follows. - -.. _`the sw_cldprmc file`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_sw/rrtmg_sw_cldprmc.f90#L182-L208 - -.. code-block:: fortran - - extcoice(ig) = abari(icx) + bbari(icx)/radice - ssacoice(ig) = 1._rb - cbari(icx) - dbari(icx) * radice - gice(ig) = ebari(icx) + fbari(icx) * radice - forwice(ig) = gice(ig)*gice(ig) - -``abari``, ``bbari``, ``cbari``, ``dbari``, ``ebari`` and ``fbari`` are all look up tables, containing five values, which correspond to five different wavebands. -The choice of waveband is indicated by ``icx``. -The particle size dependence comes from ``radice``, so each parameter consists of both a size independent and a size dependent contribution. - -.. figure:: ./ice_cloud_optical_depth.png - - *The dependence of cloud optical depth* ``taucmc`` *on cloud ice particle size (with an ice water path of 1), with different lines representing the different wavebands.* - -key_streamer_manual -------------------- - -In this case, both the longwave absorption coefficient and three of the shortwave parameters (``excoice``, ``ssacoice``, ``gice``) are interpolated from look up tables. -Comments in the RRTMG code state that these look up tables are for a spherical ice particle parameterisation. -The look up tables contain 42 values for each of the 16 longwave and 14 shortwave wavebands. -The 42 values correspond to different ice particle radii, evenly spaced in the range [5, 131] microns. -Ice particles must be within this range, otherwise an error is thrown. - -The shortwave parameter ``forwice`` is calculated as the square of ``gice``. - -fu --- - -The longwave absorption coefficient and shortwave parameters ``extcoice``, ``ssacoice`` and ``gice`` are interpolated from look up tables. -The look up tables differ to those in ``key_streamer_manual``, and -comments in the RRTMG code state that the look up tables for ``fu`` are for a hexagonal ice particle parameterisation. -The look up tables for ``fu`` are slightly larger than those for ``key_streamer_manual``, and the range of allowed values for the ice particle size is corresponding larger ([5, 140] microns). - -The shortwave parameter ``forwice`` is calculated from ``fdelta`` (again taken from look up tables) and ``ssacoice`` as follows. - -.. code-block:: fortran - - forwice(ig) = fdelta(ig) + 0.5_rb / ssacoice(ig) - -The longwave and shortwave parameter calculations can be found in the `longwave cldprmc`_ and `shortwave cldprmc`_ subroutines respectively. - -.. _`longwave cldprmc`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_lw/rrtmg_lw_cldprmc.f90#L211-L223 - -.. _`shortwave cldprmc`: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_lib/rrtmg_sw/rrtmg_sw_cldprmc.f90#L235-L262 - -Cloud liquid properties -======================= - -There are two options for the RRTMG ``liqflag``. These are given in the ``climt`` dictionary: rrtmg_cloud_liquid_props_dict_ - -.. _rrtmg_cloud_liquid_props_dict: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_components/rrtmg/rrtmg_common.py#L41-L44 - -.. code-block:: python - - rrtmg_cloud_liquid_props_dict = { - 'radius_independent_absorption': 0, - 'radius_dependent_absorption': 1 - } - - -For ``radius_independent_absorption``, the longwave absorption coefficient is 0.0903614 for all wavebands. -This option should not be used for the shortwave. - -``radius_dependent_absorption`` is the default choice for cloud liquid water properties in ``climt``. -In this case, the longwave absorption coefficient and the shortwave parameters ``extcoliq``, ``ssacoliq``, and ``gliq`` are interpolated from look up tables. -The look up tables have values for particle sizes in the range [2.5, 59.5] microns in 1 micron intervals (58 values) for each of the 16 longwave and 14 shortwave wavebands. -The shortwave parameter ``forwliq`` is calculated as the square of ``gliq``. - - -.. figure:: ./liquid_cloud_optical_depth.png - - *The dependence of cloud optical depth* ``taucmc`` *on cloud liquid water particle size (with a liquid water path of 1), with different lines representing the different wavebands.* - - -Cloud overlap method -==================== - -This is the RRTMG ``icld`` and is given in the climt dictionary: rrtmg_cloud_overlap_method_dict_ - -.. _rrtmg_cloud_overlap_method_dict: https://github.com/CliMT/climt/blob/39c1bcacd3b348ec63000d4b57d525e523203883/climt/_components/rrtmg/rrtmg_common.py#L6-L11 - -.. code-block:: python - - rrtmg_cloud_overlap_method_dict = { - 'clear_only': 0, - 'random': 1, - 'maximum_random': 2, - 'maximum': 3 - } - -If we choose ``clear_only``, there are no clouds, regardless of the other input. -If we choose ``random``, the g-intervals which see cloud are chosen randomly for -each model layer. This means that there is a dependence on vertical resolution: -if vertical resolution is increased, more layers contain the same cloud -and a larger portion of the wavelength spectrum sees some of the cloud. -With ``maximum_random``, the g-intervals that see cloud in one model layer are -the same as those that see cloud in a neighbouring model layer. -This maximises the cloud overlap between neighbouring layers (within a single -cloud). If the cloud area fraction changes between layers, the additional -g-intervals that see (or don't see) cloud are assigned randomly. Therefore, if -there are two clouds at different altitudes, separated by clear sky, the two -clouds overlap randomly with respect to each other. If ``maximum`` is selected, -cloud overlap is maximised both within and between clouds. - -The implementation is in the `mcica_subcol_gen_sw`_ and `mcica_subcol_gen_lw`_ -files, and consists firstly of assigning each g-interval a random number in the -range [0, 1]. For ``random``, and ``maximum_random`` (cases 1 and 2 in -`mcica_subcol_gen_sw`_ and `mcica_subcol_gen_lw`_), random numbers are generated -for each layer, whereas for ``maximum`` (case 3) only one set of random numbers -is generated and applied to all the layers. For ``maximum_random``, the random -numbers are recalculated to fulfill the assumption about overlap (this -recalculation is described below). -Whether a g-interval at a certain layer sees cloud depends on both the random -number it has been assigned and the cloud fraction at that layer. For example, -if the cloud area fraction is 30%, all g-intervals that have been assigned a -random number > 0.7 (approximately 30% of the g-intervals) will see cloud. -The other g-intervals will see clear-sky. If the cloud fraction is 20%, only -g-intervals with a random number > 0.8 will see cloud. -The recalculation of random numbers in the ``maximum_random`` case for a certain -model layer (layer 2), considers the assigned random numbers and cloud area -fraction of the layer above (layer 1). -If the g-interval sees cloud in layer 1, its random number in layer 2 is -changed so that it matches that in layer 1. This does not necessarily mean that -it will see cloud in layer 2, because the cloud fraction could be smaller in -layer 2 than layer 1 (so the requirement for seeing cloud would be increased). -The random numbers for the g-intervals in layer 2, which do not see cloud in -layer 1, are multiplied by one minus the cloud area fraction of layer 1, so that -the set of random numbers assigned to layer 2 are still randomly distributed in -the range [0, 1]. This is required so that the right proportion of g-intervals -in layer 2 see cloud. - -.. _mcica_subcol_gen_lw: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_lw/mcica_subcol_gen_lw.f90#L347-L470 -.. _mcica_subcol_gen_sw: https://github.com/CliMT/climt/blob/b74d69003bc6c88e99580fa3ff05d4ca886da033/climt/_lib/rrtmg_sw/mcica_subcol_gen_sw.f90#L374-L497 - -======================================= -Differences in cloud input with nomcica -======================================= - -Regarding the options that can be used with nomcica, -there are a few differences to those that can be used with McICA. - -Cloud properties -================ - -For the longwave, we can choose ``single_cloud_type`` in the `rrtmg_cloud_props_dict`_. -The longwave cloud optical depth is calculated as follows. - -.. code-block:: fortran - - taucloud(lay,ib) = abscld1 * (ciwp(lay) + clwp(lay)) - -This gives us a cloud optical depth based on a single constant value, ``abscld1`` -and the total cloud water path. -Thus, for this option, the ``mass_content_of_cloud_ice_in_atmosphere_layer``, and -``mass_content_of_cloud_liquid_water_in_atmosphere_layer`` are needed as input. -``single_cloud_type`` is not available for the shortwave. - -If we choose ``liquid_and_ice_clouds``, the calculations of the longwave and shortwave -optical properties from the cloud mass and particle sizes are the same as for McICA, -but are calculated for each waveband instead of each g-interval. - -Cloud overlap method -==================== - -With nomcica choosing a cloud overlap of ``random`` in the -`rrtmg_cloud_overlap_method_dict`_ is different to choosing either -``maximum_random`` or ``maximum``. The latter two options do not differ. -If we choose ``random``, the radiative flux transmitted from one layer to the next -does not care if it came from cloud or clear sky, -whereas with ``maximum_random``, the cloudy and clear fluxes are separated and -treated separately from one model layer to the next. diff --git a/docs/utilities.rst b/docs/utilities.rst deleted file mode 100644 index c20b4fb..0000000 --- a/docs/utilities.rst +++ /dev/null @@ -1,27 +0,0 @@ -.. _utility_functions: -.. currentmodule:: climt - -General Utilities -================== -This documents some utility functions available in :mod:`climt`. -Most of the constants functionality is inherited from :mod:`sympl`. - -Constants ----------- - -.. autosummary:: - :toctree: generated/ - - list_available_constants - set_constants_from_dict - -Miscellaneous --------------- - -.. autosummary:: - :toctree: generated/ - - mass_to_volume_mixing_ratio - get_interface_values - - From 3b276c09f1b96b7e14cf77705ac4d2d6faeb99ad Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 21:43:59 +0530 Subject: [PATCH 19/30] off builds --- .github/workflows/python-package.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/python-package.yml b/.github/workflows/python-package.yml index bbac3d6..d570bd0 100644 --- a/.github/workflows/python-package.yml +++ b/.github/workflows/python-package.yml @@ -5,7 +5,7 @@ name: Python package on: push: - branches: [ master, develop] + branches: [ master] pull_request: branches: [ master, develop ] From 4831ef01048afba806ad1c5c26f96c80c81df17e Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 22:10:35 +0530 Subject: [PATCH 20/30] clean up docs --- docs/component_manual.rst | 5 ----- docs/{climt.rst => gfs_dynamcial_core.rst} | 0 2 files changed, 5 deletions(-) delete mode 100644 docs/component_manual.rst rename docs/{climt.rst => gfs_dynamcial_core.rst} (100%) diff --git a/docs/component_manual.rst b/docs/component_manual.rst deleted file mode 100644 index 76d8e45..0000000 --- a/docs/component_manual.rst +++ /dev/null @@ -1,5 +0,0 @@ -Component Manual -================ - -.. toctree:: - rrtmg_clouds diff --git a/docs/climt.rst b/docs/gfs_dynamcial_core.rst similarity index 100% rename from docs/climt.rst rename to docs/gfs_dynamcial_core.rst From c7e14ce50937029ab59e72803d7095932d01aa85 Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 22:31:09 +0530 Subject: [PATCH 21/30] clean up docs --- docs/{gfs_dynamcial_core.rst => gfs_dynamical_core.rst} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename docs/{gfs_dynamcial_core.rst => gfs_dynamical_core.rst} (100%) diff --git a/docs/gfs_dynamcial_core.rst b/docs/gfs_dynamical_core.rst similarity index 100% rename from docs/gfs_dynamcial_core.rst rename to docs/gfs_dynamical_core.rst From ab8bebcc612b138a3d6a7d775402d667f1ede1cb Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 22:52:23 +0530 Subject: [PATCH 22/30] clean up docs --- docs/components.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/components.rst b/docs/components.rst index 044370f..cfefca0 100644 --- a/docs/components.rst +++ b/docs/components.rst @@ -1,5 +1,5 @@ .. _component_list: -.. currentmodule:: gfs-dynamical-core +.. currentmodule:: gfs_dynamical_core ========== Components From 62b307d65bdf0be2e76e788e608f91d9f52bb9dc Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 22:58:22 +0530 Subject: [PATCH 23/30] clean up docs --- docs/index.rst | 13 +------------ 1 file changed, 1 insertion(+), 12 deletions(-) diff --git a/docs/index.rst b/docs/index.rst index d2e8bf0..56a83cd 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -30,18 +30,7 @@ Contents: introduction installation - quickstart - interaction - realistic - component_types - configuration - components - component_manual - initialisation - utilities - contributing - authors - history + Indices and tables ================== From c3b341734a68244340f804f4e71d41c034f7d966 Mon Sep 17 00:00:00 2001 From: Abel Date: Thu, 22 Jun 2023 23:22:19 +0530 Subject: [PATCH 24/30] clean up docs --- docs/index.rst | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/docs/index.rst b/docs/index.rst index 56a83cd..bfb0bf0 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -30,7 +30,8 @@ Contents: introduction installation - + components + Indices and tables ================== From 4c517e718d612bb65744c03d825386931805981f Mon Sep 17 00:00:00 2001 From: Abel Date: Fri, 23 Jun 2023 20:18:40 +0530 Subject: [PATCH 25/30] clean up docs --- docs/climt_logo.jpg | Bin 1519795 -> 0 bytes docs/conf.py | 11 +++++------ docs/index.rst | 34 +++++----------------------------- 3 files changed, 10 insertions(+), 35 deletions(-) delete mode 100644 docs/climt_logo.jpg diff --git a/docs/climt_logo.jpg b/docs/climt_logo.jpg deleted file mode 100644 index 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100644 docs/introduction.rst diff --git a/AUTHORS.rst b/AUTHORS.rst index ca80ba3..7896a83 100644 --- a/AUTHORS.rst +++ b/AUTHORS.rst @@ -10,10 +10,9 @@ Original Creator Development Lead ---------------- -* Joy Monteiro +* Abel Shibu Contributors ------------ -* Jeremy McGibbon -* Abel Shibu +* Joy Monteiro diff --git a/docs/components.rst b/docs/components.rst index cfefca0..d8ac8de 100644 --- a/docs/components.rst +++ b/docs/components.rst @@ -5,11 +5,7 @@ Components ========== -This page documents the different components available through gfs_dynamical_core. - - -Dynamics ---------- +Given below are the components available on the gfs_dynamical_core package. .. autosummary:: :toctree: generated/ diff --git a/docs/index.rst b/docs/index.rst index 4932f96..3b306bc 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -12,6 +12,5 @@ Contents: .. toctree:: :maxdepth: 2 - introduction installation components \ No newline at end of file diff --git a/docs/installation.rst b/docs/installation.rst index a3d1a8f..c147f48 100644 --- a/docs/installation.rst +++ b/docs/installation.rst @@ -4,25 +4,27 @@ Installation ============ -Stable release --------------- +pip install +----------- -You can install climt by simply typing +You can install gfs_dynamical_core using the command .. code-block:: console - $ pip install climt + $ pip install gfs_dynamical_core -This is the preferred method to install climt, as it will always install the most recent stable release. On Ubuntu Linux, you might need to prefix the above command with :code:`sudo`. This command should -work on Linux, Mac and Windows. For Mac and Windows, it is recommended to use the `anaconda`_ python -distribution to make installation simpler. +work on Linux and Mac. This package is currently not available on Windows. .. NOTE:: If you are not using Anaconda, please ensure you have the libpython library installed. See the next section for instructions to install libpython. -Since by default pip attempts to install a binary wheel, you won't need a compiler on your system. +This is the simplest way to install the gfs_dynamical_core package and does not require a compiler +on your system. However, as pip installs wheels for a generic system architecture, installing via pip +will not build optimally for your particular architecture, resulting in a slower code. + +For this reason, it is recommended to build gfs_dynamical_core from source. If you don't have `pip`_ installed, this `Python installation guide`_ can guide you through the process. @@ -30,34 +32,27 @@ you through the process. Installing from source ---------------------- -The sources for climt can be downloaded from the `Github repo`_. +The sources for gfs_dynamical_core can be downloaded from the `Github repo`_. You can either clone the public repository: .. code-block:: console - $ git clone git://github.com/CliMT/climt - -Or download the `tarball`_: - -.. code-block:: console - - $ curl -OL https://github.com/CliMT/climt/tarball/master - + $ git clone https://github.com/Ai33L/gfs_dynamical_core.git Once you have a copy of the source, you can install it with: .. code-block:: console $ pip install -r requirements_dev.txt - $ python setup.py install + $ python setup.py develop Both commands may require the use of :code:`sudo`. Dependencies for source installations ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -climt depends on some easily installable libraries. For +gfs_dynamical_core depends on some easily installable libraries. For an installation from source, it also requires that C and fortran compilers be installed. @@ -88,12 +83,12 @@ Where :code:`gcc-x,gfortran-x` are the names of the C,Fortran compilers that Hom Exporting the name of the compiler is essential on Mac since the default compiler that ships with Mac (called :code:`gcc`, but is actually a different compiler) cannot -compile OpenMP programs, like the dynamical core in climt. +compile OpenMP programs. .. _Homebrew: https://brew.sh/ .. _pip: https://pip.pypa.io .. _Python installation guide: http://docs.python-guide.org/en/latest/starting/installation/ -.. _Github repo: https://github.com/climt/climt +.. _Github repo: https://github.com/Ai33L/gfs_dynamical_core .. _tarball: https://github.com/CliMT/climt/tarball/master .. _anaconda: https://www.continuum.io/downloads diff --git a/docs/introduction.rst b/docs/introduction.rst deleted file mode 100644 index f184391..0000000 --- a/docs/introduction.rst +++ /dev/null @@ -1,24 +0,0 @@ -.. highlight:: python - -============= -Introduction -============= - -climt (pronounced *klimt*) is an attempt to build a climate modelling -infrastructure that is easy to use, easy to understand and easy to learn. - -Most climate model components are written in fortran for performance reasons. -For that very reason, it is difficult to change model configurations and -behaviour easily, which is something scientists tend to do all the time during -their research. The earth-science community is converging towards Python as the -language of choice for data analysis tasks, thanks to Python's flexibility and -emphasis on clean, readable code. climt aims to use Python for climate modelling -for these very reasons -- clearly documented components, self documenting -model scripts, and a flexible configuration system will make climate modelling more -reproducible and make the learning curve less steep. - -climt is aimed at a wide spectrum of users -- from students who are curious to learn -about the climate system to researchers who want state-of-the-art components. climt -aims to provide multiple levels of abstraction which will allow the user to tradeoff -ease of use vs. flexibility, depending on their particular needs and experience in -modelling and Python programming. From 2d806d0c10177b4a507fc19dfb68a3cfbcfe09ab Mon Sep 17 00:00:00 2001 From: Abel Date: Wed, 28 Jun 2023 01:41:27 +0530 Subject: [PATCH 27/30] clean up docs --- AUTHORS.rst | 2 +- HISTORY.rst | 2 +- docs/index.rst | 6 ++++-- 3 files changed, 6 insertions(+), 4 deletions(-) diff --git a/AUTHORS.rst b/AUTHORS.rst index 7896a83..8d85f40 100644 --- a/AUTHORS.rst +++ b/AUTHORS.rst @@ -5,7 +5,7 @@ Credits Original Creator ---------------- -* Rodrigo Caballero +* Jeff Whitaker Development Lead ---------------- diff --git a/HISTORY.rst b/HISTORY.rst index 4f94911..55191fd 100644 --- a/HISTORY.rst +++ b/HISTORY.rst @@ -5,4 +5,4 @@ History Latest --------- -* GFS Dynamical core shifted over from CliMT and working. +* GFS Dynamical core moved from CLiMT to this repository. diff --git a/docs/index.rst b/docs/index.rst index 3b306bc..51384ec 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -1,7 +1,7 @@ Welcome to gfs_dynamical_core's documentation! ================================= -The gfs_dynamical_core package is home to the GFS Dynamical Core that was previously a part of +The gfs_dynamical_core package is home to the GFS Dynamical Core that was previously part of the `CliMT`_ repository. .. _CliMT: @@ -13,4 +13,6 @@ Contents: :maxdepth: 2 installation - components \ No newline at end of file + components + authors + history \ No newline at end of file From e4a502836c5b4e9c440cf21e4e4d25b7fb8cd495 Mon Sep 17 00:00:00 2001 From: Abel Date: Wed, 28 Jun 2023 02:05:35 +0530 Subject: [PATCH 28/30] clean up docs --- README.rst | 18 +++++++++++++++--- 1 file changed, 15 insertions(+), 3 deletions(-) diff --git a/README.rst b/README.rst index 7060c22..36f8745 100644 --- a/README.rst +++ b/README.rst @@ -3,9 +3,7 @@ gfs-dynamical-core ================== **gfs-dynamical-core** is home to the GFS dynamical core, which was previously available on -CliMT. - -* Free software: BSD license +CliMT_. Installation ------------- @@ -13,3 +11,17 @@ Installation gfs-dynamical-core can be installed directly from the python package index using pip. pip install gfs-dynamical-core + +This command should work on most systems and will install wheels for generic architecture. However, +this may result in a slower code. + +To optimise the package for your system architecture, build it from source. See the documentation_ +for instructions. + +.. _Cookiecutter: https://github.com/audreyr/cookiecutter +.. _`audreyr/cookiecutter-pypackage`: https://github.com/audreyr/cookiecutter-pypackage +.. _sympl: https://github.com/mcgibbon/sympl +.. _Pint: https://pint.readthedocs.io +.. _xarray: http://xarray.pydata.org +.. _documentation: http://climt.readthedocs.io/en/latest/installation.html +.. _CliMT: https://github.com/CliMT/climt \ No newline at end of file From f379abeec18e1392df7ebeabfbb7a7e9c2b0ea8a Mon Sep 17 00:00:00 2001 From: Abel Date: Wed, 28 Jun 2023 02:06:35 +0530 Subject: [PATCH 29/30] clean up docs --- README.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.rst b/README.rst index 36f8745..5bfc0c2 100644 --- a/README.rst +++ b/README.rst @@ -23,5 +23,5 @@ for instructions. .. _sympl: https://github.com/mcgibbon/sympl .. _Pint: https://pint.readthedocs.io .. _xarray: http://xarray.pydata.org -.. _documentation: http://climt.readthedocs.io/en/latest/installation.html +.. _documentation: https://gfs-dynamical-core.readthedocs.io .. _CliMT: https://github.com/CliMT/climt \ No newline at end of file From d6f43e48ba9aba2efa39748d732b041b8d78c96b Mon Sep 17 00:00:00 2001 From: Abel Date: Wed, 28 Jun 2023 02:09:35 +0530 Subject: [PATCH 30/30] clean up docs --- gfs_dynamical_core/_lib/Makefile | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/gfs_dynamical_core/_lib/Makefile b/gfs_dynamical_core/_lib/Makefile index 87b24d8..03ba5a2 100644 --- a/gfs_dynamical_core/_lib/Makefile +++ b/gfs_dynamical_core/_lib/Makefile @@ -61,7 +61,7 @@ sht_lib: $(CLIMT_ARCH)/libshtns_omp.a blas_lib: $(CLIMT_ARCH)/libopenblas.a $(CLIMT_ARCH)/libopenblas.a: - if [ ! -d $(BLAS_DIR) ]; then mkdir $(BLAS_DIR); tar -xvzf $(BLAS_GZ) -C $(BLAS_DIR) --strip-components=1 > log 2>&1; fi; cd $(BLAS_DIR); CFLAGS=$(CLIMT_CFLAGS) make TARGET=GENERIC NO_SHARED=1 NO_LAPACK=0 > log 2>&1 ; make PREFIX=$(BASE_DIR) NO_SHARED=1 NO_LAPACK=0 install > log.install.blas 2>&1 ; cp ../lib/libopenblas.a $(LIB_DIR) + if [ ! -d $(BLAS_DIR) ]; then mkdir $(BLAS_DIR); tar -xvzf $(BLAS_GZ) -C $(BLAS_DIR) --strip-components=1 > log 2>&1; fi; cd $(BLAS_DIR); CFLAGS=$(CLIMT_CFLAGS) make NO_SHARED=1 NO_LAPACK=0 > log 2>&1 ; make PREFIX=$(BASE_DIR) NO_SHARED=1 NO_LAPACK=0 install > log.install.blas 2>&1 ; cp ../lib/libopenblas.a $(LIB_DIR) # GFS Configuration

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