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Free Vortex Wake within AeroDyn15
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[submodule "reg_tests/r-test"] | ||
path = reg_tests/r-test | ||
url = https://github.com/openfast/r-test.git | ||
url = https://github.com/OpenFAST/r-test.git | ||
[submodule "unit_tests/pfunit"] | ||
path = unit_tests/pfunit | ||
url = https://github.com/Goddard-Fortran-Ecosystem/pFUnit.git |
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.math { | ||
text-align: left; | ||
} | ||
.eqno { | ||
float: right; | ||
} |
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.. _Acknowledgments: | ||
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Acknowledgments | ||
=============== | ||
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This work was authored by the National Renewable Energy Laboratory, | ||
operated by Alliance for Sustainable Energy, LLC, for the U.S. | ||
Department of Energy (DOE) under Contract No. DE-AC36-08GO28308. Funding | ||
provided by the U.S. Department of Energy Office of Energy Efficiency | ||
and Renewable Energy Wind Energy Technologies Office. The views | ||
expressed in the article do not necessarily represent the views of the | ||
DOE or the U.S. Government. The U.S. Government retains and the | ||
publisher, by accepting the article for publication, acknowledges that | ||
the U.S. Government retains a nonexclusive, paid-up, irrevocable, | ||
worldwide license to publish or reproduce the published form of this | ||
work, or allow others to do so, for U.S. Government purposes. | ||
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The authors are also grateful to the Big Adaptive Rotor program for | ||
supporting the development of this software. |
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.. _Acronyms: | ||
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List of Symbols | ||
=============== | ||
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+-----------------------------+---------------------------------------+ | ||
| BEM | blade-element momentum | | ||
+-----------------------------+---------------------------------------+ | ||
| CFD | computational fluid dynamics | | ||
+-----------------------------+---------------------------------------+ | ||
| DOE | U.S. Department of Energy | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`F_v` | core radius factor | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`t` | time | | ||
+-----------------------------+---------------------------------------+ | ||
| FVW | free vortex wake | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`N` | number of rotor revolutions before | | ||
| | wake cutoff condition | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`\vec{r}` | vector between point of interest and | | ||
| | vortex segment | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`\vec{r}(\psi,\zeta)` | position vector of Lagrangian markers | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`r_c` | core radius | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`r_{c0}` | initial core radius | | ||
+-----------------------------+---------------------------------------+ | ||
| OLAF | cOnvecting LAgrangian Filaments | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`\alpha` | numerical constant :math:`=1.25643` | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`\Gamma` | circulation strength | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`\delta` | measure of viscous diffusion | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`\epsilon` | measure of strain | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`\Delta \psi` | step size for blade rotation | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`\Omega` | rotational speed of wind turbine | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`\zeta` | vortex wake age | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`\zeta_0` | vortex wake age offset | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`\nu` | kinematic viscosity | | ||
+-----------------------------+---------------------------------------+ | ||
| :math:`\psi` | azimuth blade position | | ||
+-----------------------------+---------------------------------------+ |
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.. _OLAF-Primary-Input-File: | ||
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Appendix A: OLAF Primary Input File | ||
=================================== | ||
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**Check the regression test cases for updates to this input file.** | ||
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.. container:: | ||
:name: Tab:OLAFinputfile | ||
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.. literalinclude:: ExampleFiles/ExampleFile--OLAF.txt | ||
:linenos: |
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.. _Prescribed-Circulation-Input-File: | ||
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Appendix B: Prescribed Circulation Input File | ||
============================================= | ||
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**Check the regression tests for updated versions of this file.** | ||
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.. container:: | ||
:name: TabPrescribeCirc | ||
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.. literalinclude:: ExampleFiles/ExampleFile--PrescribeCirc.txt | ||
:linenos: |
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.. _OLAF-List-of-Output-Channels: | ||
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Appendix C: OLAF List of Output Channels | ||
======================================== | ||
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This is a list of all possible output parameters from the OLAF module. | ||
The names are grouped by meaning, but can be ordered in the OUTPUTS | ||
section of the *AeroDyn15* primary input file, as the user sees fit. | ||
:math:`N\beta` refers to output node, :math:`\beta`, where :math:`\beta` | ||
is a number in the range [1,9], corresponding to entry, :math:`\beta`, | ||
in the **OutNd** list. :math:`B\alpha` is prefixed to each output name, | ||
where :math:`\alpha` is a number in the range [1,3], corresponding to | ||
the blade number. | ||
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.. list-table:: Available OLAF Output Channels | ||
:widths: 25 15 50 | ||
:header-rows: 1 | ||
:align: center | ||
:name: Tab:OLAFoutputs | ||
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* - Channel Name(s) | ||
- Units | ||
- Description | ||
* - :math:`B \alpha N \beta Gam` | ||
- :math:`m^2/s` | ||
- Circulation along the blade | ||
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.. | ||
============================ ============= =========================== | ||
Channel Name(s) Units Description | ||
============================ ============= =========================== | ||
:math:`B \alpha N \beta Gam` :math:`m^2/s` Circulation along the blade | ||
============================ ============= =========================== |
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--------------------------- OLAF (cOnvecting LAgrangian Filaments) INPUT FILE ----------------- | ||
Free wake input file for the Helix test case | ||
--------------------------- GENERAL OPTIONS --------------------------------------------------- | ||
5 IntMethod Integration method {5: Forward Euler 1st order, default: 5} (switch) | ||
0.2 DTfvw Time interval for wake propagation. {default: dtaero} (s) | ||
5 FreeWakeStart Time when wake is free. (-) value = always free. {default: 0.0} (s) | ||
2.0 FullCircStart Time at which full circulation is reached. {default: 0.0} (s) | ||
--------------------------- CIRCULATION SPECIFICATIONS ---------------------------------------- | ||
1 CircSolvingMethod Circulation solving method {1: Cl-Based, 2: No-Flow Through, 3: Prescribed, default: 1 }(switch) | ||
0.01 CircSolvConvCrit Convergence criteria {default: 0.001} [only if CircSolvingMethod=1] (-) | ||
0.1 CircSolvRelaxation Relaxation factor {default: 0.1} [only if CircSolvingMethod=1] (-) | ||
30 CircSolvMaxIter Maximum number of iterations for circulation solving {default: 30} (-) | ||
"NA" PrescribedCircFile File containing prescribed circulation [only if CircSolvingMethod=3] (quoted string) | ||
=============================================================================================== | ||
--------------------------- WAKE OPTIONS ------------------------------------------------------ | ||
------------------- WAKE EXTENT AND DISCRETIZATION -------------------------------------------- | ||
50 nNWPanel Number of near-wake panels [integer] (-) | ||
400 WakeLength Total wake distance [integer] (number of time steps) | ||
default FreeWakeLength Wake length that is free [integer] (number of time steps) {default: WakeLength} | ||
False FWShedVorticity Include shed vorticity in the far wake {default: false} | ||
------------------- WAKE REGULARIZATIONS AND DIFFUSION ----------------------------------------- | ||
0 DiffusionMethod Diffusion method to account for viscous effects {0: None, 1: Core Spreading, "default": 0} | ||
0 RegDeterMethod Method to determine the regularization parameters {0: Manual, 1: Optimized, default: 0 } | ||
2 RegFunction Viscous diffusion function {0: None, 1: Rankine, 2: LambOseen, 3: Vatistas, 4: Denominator, "default": 3} (switch) | ||
0 WakeRegMethod Wake regularization method {1: Constant, 2: Stretching, 3: Age, default: 1} (switch) | ||
2.0 WakeRegFactor Wake regularization factor (m) | ||
2.0 WingRegFactor Wing regularization factor (m) | ||
100 CoreSpreadEddyVisc Eddy viscosity in core spreading methods, typical values 1-1000 | ||
------------------- WAKE TREATMENT OPTIONS --------------------------------------------------- | ||
False TwrShadowOnWake Include tower flow disturbance effects on wake convection {default:false} [only if TwrPotent or TwrShadow] | ||
0 ShearModel Shear Model {0: No treatment, 1: Mirrored vorticity, default: 0} | ||
------------------- SPEEDUP OPTIONS ----------------------------------------------------------- | ||
2 VelocityMethod Method to determine the velocity {1:Biot-Savart Segment, 2:Particle tree, default: 1} | ||
1.5 TreeBranchFactor Branch radius fraction above which a multipole calculation is used {default: 2.0} [only if VelocityMethod=2] | ||
1 PartPerSegment Number of particles per segment [only if VelocityMethod=2] | ||
=============================================================================================== | ||
--------------------------- OUTPUT OPTIONS --------------------------------------------------- | ||
1 WrVTk Outputs Visualization Toolkit (VTK) (independent of .fst option) {0: NoVTK, 1: Write VTK at each time step} (flag) | ||
1 nVTKBlades Number of blades for which VTK files are exported {0: No VTK per blade, n: VTK for blade 1 to n} (-) | ||
2 VTKCoord Coordinate system used for VTK export. {1: Global, 2: Hub, "default": 1} | ||
1 VTK_fps Frame rate for VTK output (frames per second) {"all" for all glue code timesteps, "default" for all OLAF timesteps} [used only if WrVTK=1] | ||
------------------------------------------------------------------------------------------------ |
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r/R [-], Gamma [m^2/s] | ||
0.048488, 0.000000 | ||
0.087326, 0.442312 | ||
0.126163, 6.909277 | ||
0.165000, 23.678557 | ||
0.203837, 55.650700 | ||
0.242674, 74.091529 | ||
0.281512, 84.205843 | ||
0.320349, 88.740429 | ||
0.359186, 89.730814 | ||
0.398023, 88.568114 | ||
0.436860, 87.114743 | ||
0.475698, 86.110557 | ||
0.514535, 85.705529 | ||
0.553372, 85.215829 | ||
0.592209, 84.547371 | ||
0.631047, 83.774329 | ||
0.669884, 82.889157 | ||
0.708721, 81.635600 | ||
0.747558, 79.788700 | ||
0.786395, 77.195200 | ||
0.825233, 73.765100 | ||
0.864070, 69.275900 | ||
0.902907, 62.965400 | ||
0.941744, 53.603300 | ||
0.980581, 39.854000 |
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.. _Future-Work: | ||
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Future Work | ||
=========== | ||
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This first implementation phase focused on single-turbine capabilities, | ||
fulfilling the basic requirements for the design of large and novel | ||
rotor concepts. Future development work will turn toward the | ||
implementation of features enabling multiple-turbine simulations on | ||
medium-to-large-scale computational clusters. The reduction of the | ||
computational time will also be of focus. This may be achieved using | ||
tree techniques such as the fast multipole method. Further algorithmic | ||
options, such as vortex amalgamation in the far wake, will be considered | ||
to speed up the simulation. The framework presented in this manual is | ||
compatible with grid-free or grid-based vortex particle formulations. | ||
Such particle-based implementations will also be envisaged in the | ||
future. Further validation of the code against measurements and | ||
higher-order tools will be pursued. Applications to cases known to be | ||
challenging for the BEM algorithm will also be investigated, such as | ||
highly flexible rotors, offshore floating turbines, small-scale wind | ||
farms, multiple-rotor turbines, or kites. | ||
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The following list contains future work on OLAF software: | ||
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- Lagrangian particles | ||
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- Multiple turbines, integration into FAST.Farm | ||
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- Code speed-up | ||
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- Dedicated dynamic stall model |
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