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BROADCAST_axi.py
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BROADCAST_axi.py
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# This Source Code Form is subject to the terms of the Mozilla Public License, v. 2.0. If a copy of the MPL was not distributed with this file, You can obtain one at https://mozilla.org/MPL/2.0/.
#!/usr/bin/env python
'''
File: Toy2D.py
Created on 21 january 2021
@author: Cedric Content
@contact: cedric.content@onera.fr
@organization: ONERA - DAAA
@summary: This file is the main file of the program. It contains the
routine "main" and other related routines.
'''
import srcfv.f_geom as f_geom
import srcfv.f_bnd as f_bnd
import srcfv.f_sch as f_sch
import srcfv.f_lhs as f_lhs
import srcfv.f_lin as f_lin
# import srcfv.f_adj as f_adj
import srcfv.f_norm as f_norm
# FROM A.POULAIN Thesis
import misc.f_misc as f_misc
import misc.PETSc_func as pet
import resolvent_all as resol
import SIM
import SIM.BLprofiles_implicit as blsim
import f_init
import meshBL as mesh
import numpy as _np
import matplotlib.pyplot as plt
import os
import sys
import timeit
######################### Private functions ####################
def __writestate_node(filename, im, jm, w, x0, y0, gh) :
# print 'write file'
f_out = open(filename , 'w')
f_out.write('TITLE="state"\n')
f_out.write('VARIABLES= "X" "Y" "ro" "rou" "rov" "row" "roe" \n')
f_out.write('ZONE I = ' + str(im) + ', J = ' + str(jm) + '\n')
for j in range(gh,jm+gh):
for i in range(gh,im+gh):
ro = 0.25*(w[i-1,j-1,0] + w[i,j-1,0] + w[i-1,j,0] + w[i,j,0])
rou = 0.25*(w[i-1,j-1,1] + w[i,j-1,1] + w[i-1,j,1] + w[i,j,1])
rov = 0.25*(w[i-1,j-1,2] + w[i,j-1,2] + w[i-1,j,2] + w[i,j,2])
row = 0.25*(w[i-1,j-1,3] + w[i,j-1,3] + w[i-1,j,3] + w[i,j,3])
roe = 0.25*(w[i-1,j-1,4] + w[i,j-1,4] + w[i-1,j,4] + w[i,j,4])
f_out.write(str(x0[i,j]) + ' ' + str(y0[i,j]) + ' ' +
str(ro) + ' ' + str(rou) + ' ' +
str(rov) + ' ' + str(row) + ' ' +
str(roe) + '\n')
f_out.close()
def __writestate_center(filename, im, jm, w, xc, yc, gh) :
# print 'write file'
f_out = open(filename , 'w')
f_out.write('TITLE="state"\n')
f_out.write('VARIABLES= "X" "Y" "ro" "rou" "rov" "row" "roe" \n')
f_out.write('ZONE I = ' + str(im) + ', J = ' + str(jm) + '\n')
for j in range(gh,jm+gh):
for i in range(gh,im+gh):
ro = w[i,j,0]
rou = w[i,j,1]
rov = w[i,j,2]
row = w[i,j,3]
roe = w[i,j,4]
f_out.write(str(xc[i,j]) + ' ' + str(yc[i,j]) + ' ' +
str(ro) + ' ' + str(rou) + ' ' +
str(rov) + ' ' + str(row) + ' ' +
str(roe) + '\n')
f_out.close()
def __writestate_center_gh(filename, imloc, jmloc, w, xc, yc) :
# print 'write file'
f_out = open(filename , 'w')
f_out.write('TITLE="state"\n')
f_out.write('VARIABLES= "X" "Y" "ro" "rou" "rov" "row" "roe" \n')
f_out.write('ZONE I = ' + str(imloc) + ', J = ' + str(jmloc) + '\n')
for j in range(jmloc):
for i in range(imloc):
ro = w[i,j,0]
rou = w[i,j,1]
rov = w[i,j,2]
row = w[i,j,3]
roe = w[i,j,4]
f_out.write(str(xc[i,j]) + ' ' + str(yc[i,j]) + ' ' +
str(ro) + ' ' + str(rou) + ' ' +
str(rov) + ' ' + str(row) + ' ' +
str(roe) + '\n')
f_out.close()
def __writeline(filename, imloc, w, xc,jloc) :
# print 'write file'
f_out = open(filename , 'w')
f_out.write('TITLE="state"\n')
f_out.write('VARIABLES= "X" "ro" "rou" "rov" "row" "roe" \n')
f_out.write('ZONE I = ' + str(imloc) + '\n')
for i in range(imloc):
ro = w[i,0]
rou = w[i,1]
rov = w[i,2]
row = w[i,3]
roe = w[i,4]
f_out.write(str(xc[i,jloc]) + ' ' +
str(ro) + ' ' + str(rou) + ' ' +
str(rov) + ' ' + str(row) + ' ' +
str(roe) + '\n')
f_out.close()
def __comp_Sutherland(propref, Ts, Cs, T):
'''Dynamical viscosity / thermal conductivity from sutherland law'''
return propref*_np.sqrt(T/Ts)*((1.+Cs/Ts)/(1.+Cs/T))
def __compute_tot_energy_inf(R_pg, gamma, t_inf, v_inf):
'''Total energy E = R/(gamma-1)*Tinf+(uinf**2)/2'''
return R_pg/(gamma-1.)*t_inf+0.5*v_inf*v_inf
def remove_zero_jac(IA, JA, Jac, mini=2.e-16):
''' Remove the zero components from the Jac list in order not to store any zero in the sparse matrix '''
to_keep = _np.absolute(Jac) > mini
Jac = Jac[to_keep,...]
IA = IA[to_keep,...]
JA = JA[to_keep,...]
return IA, JA, Jac
def centers_array(A):
''' Compute the values of an array A at the centers'''
return 0.25 * ( A[:-1,:-1] + A[1:,:-1] + A[:-1,1:] + A[1:,1:] )
######################### Private functions ####################
# solve monoblock Boundary Layer
def bl2d(dgeom = dict(), dphys = dict(), dnum = dict(), compmode = 'direct', lf = list(), lflin = list(), out_dir = 'totodir', isresol= False):
'''
exemple of monoblock use of 2DTOY
to simulate 2D laminar Boundary Layer flow
'''
os.system('mkdir -p %s' % out_dir)
# get functions
# lf = [finflow, foutflow, fnoref, fwall, fsch]
# finflow = lf[0]
# foutflow = lf[1]
# fnoref = lf[2]
# fwall = lf[3]
# fsch = lf[4]
# fsym = lf[5]
routinein = lf[0]
routineout = lf[1]
routinenr = lf[2]
routinew = lf[3]
routinesch = lf[4]
routinebw = lf[5]
libbnd = lf[6]
libsch = lf[7]
finflow = eval("%s.%s" % (libbnd, routinein))
foutflow = eval("%s.%s" % (libbnd, routineout))
fnoref = eval("%s.%s" % (libbnd, routinenr ))
fwall = eval("%s.%s" % (libbnd, routinew ))
fsym = eval("%s.%s" % (libbnd, routinebw ))
fsch = eval("%s.%s" % (libsch, routinesch))
# Create mesh
im = dgeom['im']
jm = dgeom['jm']
L = dgeom['length']
high = dgeom['high']
xini = dgeom['xini']
ym = dgeom['ym']
ite = dnum['ite']
cfl = dnum['cfl']
k2 = dnum['k2']
k4 = dnum['k4']
sch = dnum['sch']
order = dnum['order']
freqres = dnum['freqres']
freqsort = dnum['freqsort']
# Set ghost cells dimension
if sch == 'dnc':
gh = (order+1) / 2
else:
gh = (order-1) / 2 + 1 # +1 to avoid grad exchanges in multiblock configurations
# gh = gh+2
if compmode == 'direct':
rkcoefs = dnum['rkcoefs']
elif compmode == 'fixed_point':
lasolver = dnum['lasolver']
if lasolver == 'gmres':
tol = dnum['tol']
x = _np.linspace(xini, xini+L , im+1)
## MESH v2
Ny_in = 80*jm/100 #80%
deltaBL = high/4 #high/4
percent = 0.02
Ny_out = jm - Ny_in
Nend = high/deltaBL
y_int = mesh.bigeom_stretch_in(Ny_in, deltaBL, percent)
y_out = mesh.exp_stretch_out(Ny_out, deltaBL, percent, Nend)
y = _np.concatenate((y_int, y_out))
# y = mesh.bigeom_stretch_in(Ny_in, deltaBL, percent)
# Initialize all cfd fields
x0 = _np.zeros((im + 2*gh + 1, jm + 2*gh + 1 ), order='F')
y0 = _np.zeros((im + 2*gh + 1, jm + 2*gh + 1 ), order='F')
xc = _np.zeros((im + 2*gh , jm + 2*gh ), order='F')
yc = _np.zeros((im + 2*gh , jm + 2*gh ), order='F')
nx = _np.zeros((im + 2*gh + 1, jm + 2*gh + 1, 2), order='F')
ny = _np.zeros((im + 2*gh + 1, jm + 2*gh + 1, 2), order='F')
vol = _np.zeros((im + 2*gh , jm + 2*gh ), order='F')
volf= _np.zeros((im + 2*gh , jm + 2*gh , 2), order='F')
w = _np.zeros((im + 2*gh , jm + 2*gh , 5), order='F')
res = _np.zeros((im + 2*gh , jm + 2*gh , 5), order='F')
# get physical constants
gam = dphys['gam']
cs = dphys['cs']
tref = dphys['Ts']
muref = dphys['musuth']
rgaz = dphys['rgaz']
prandtl = dphys['Prandtl']
mach = dphys['Mach']
tinf = dphys['T0']
Lref = dphys['Lref']
StateRef = dphys['stateref']
muinf = __comp_Sutherland(muref, tref, cs, tinf)
sound = _np.sqrt(gam*rgaz*tinf)
uinf = mach * sound
einf = __compute_tot_energy_inf(rgaz, gam, tinf, uinf)
dx = L/((im-1)*Lref) # adim done after muinf A.Poulain
dy = (y[1]-y[0])/Lref
sound = 1./dphys['Mach']
dt = cfl * min(dy,dx) / (sound+1.)
dtm1 = 1./dt
print("============setup===============")
print('scheme = ', sch)
print('order(or nb pts) = ', order)
print('dt = ', dt)
print('StateRef = ', StateRef)
print("gam = ", dphys['gam'])
print("Ts = ", dphys['Ts'])
print("cs = ", dphys['cs'])
print("musuth = ", dphys['musuth'])
print("rgaz = ", dphys['rgaz'])
print("Prandtl = ", dphys['Prandtl'])
print("Mach = ", dphys['Mach'])
print("T0 = ", dphys['T0'])
print("Runit = ", dphys['Runit'])
print("Lref = ", dphys['Lref'])
print("============setup===============")
print(" ")
print(" ")
#for similitude sol
dphys['mu0'] = muinf
if StateRef == 'm0_p0_t0':
pinf = dphys['P0']
rhoinf = pinf/(rgaz*tinf)
runit = rhoinf * uinf/muinf
dphys['Runit'] = runit
elif StateRef == 'm0_runit_t0':
runit = dphys['Runit']
rhoinf = runit*muinf/uinf
pinf = rhoinf*rgaz*tinf
print('mu_inf = ', muinf)
print('u_inf = ', uinf)
print('nu_inf = ', muinf/rhoinf)
# Reynolds ------------------------------------------------------------
rey = runit * L
cp = gam * rgaz /(gam-1.)
cv = rgaz /(gam-1.)
# StateRef
stateref = _np.zeros(5)
stateref[0] = rhoinf
stateref[1] = rhoinf * uinf
stateref[2] = 0.
stateref[3] = 0.
stateref[4] = rhoinf * einf
# Adim (by RVT = rho, velo et temperature)
Roref = rhoinf
Vref = uinf
Tref = tinf
# Roref = 1.
# Vref = 1.
# Tref = 1.
# Lref = 1.
Pref = Roref*Vref**2
Cvref = Vref**2/Tref
Eref = Vref**2
Rgpref = Cvref
## Adim with ref length
# Lref = 8.e-2 #8.e-2
# Muref = Roref*Vref*Lref
## OR Adim with unit Reynolds
Muref = muinf
Lref = Muref/(Roref*Vref)
uinf = uinf/Vref
tinf = tinf/Tref
rhoinf = rhoinf/Roref
# sound = sound/Vref
pinf = pinf/Pref
cp = cp/Cvref
cv = cv/Cvref
rgaz = rgaz/Rgpref
einf = einf/Eref
# sutherland
tref = tref/Tref
muref = muref/Muref
cs = cs/Tref
muinf = muinf/Muref
# StateAdim
state_adim = _np.zeros(5)
state_adim[0] = rhoinf
state_adim[1] = rhoinf * uinf
state_adim[2] = 0.
state_adim[3] = 0.
state_adim[4] = rhoinf * einf
print('======StateAdim=========')
print(' ')
print('state_adim uinf = ', uinf)
print('state_adim tinf = ', tinf)
print('state_adim rhoinf = ', rhoinf)
print('state_adim sound = ', sound)
print('state_adim pinf = ', pinf)
print('state_adim cp = ', cp)
print('state_adim cv = ', cv)
print('state_adim rgaz = ', rgaz)
print('state_adim einf = ', einf)
print('state_adim tref = ', tref)
print('state_adim muref = ', muref)
print('state_adim cs = ', cs)
print('state_adim muinf = ', muinf)
print('state_adim runit = ', runit)
print('======StateAdim=========')
print(' ')
# Compute Geometry
for i in range(im+1):
x0[i+gh,:] = x[i]
for j in range(jm+1):
y0[:,j+gh] = y[j]
# Adim Geom:
x0 *= 1./Lref
y0 *= 1./Lref
ym *= 1./Lref
y0 += ym
f_geom.computegeom_2d(x0,y0,nx,ny,xc,yc,vol,volf,im,jm,gh)
# Blasius for inlet
field = _np.zeros((jm, gh, 5), order = 'F') # dummy ones in place of blasius solution
wbd = _np.zeros((im+gh , 5), order = 'F') # dummy ones in place of top domain state vector
# Initialization
wbd[:, 0] = state_adim[0]
wbd[:, 1] = state_adim[1]
wbd[:, 2] = state_adim[2]
wbd[:, 3] = state_adim[3]
wbd[:, 4] = state_adim[4]
# print 'Wb shape at 2=', _np.shape(wbd)
field[:, :, 0] = state_adim[0]
field[:, :, 1] = state_adim[1]
field[:, :, 2] = state_adim[2]
field[:, :, 3] = state_adim[3]
field[:, :, 4] = state_adim[4]
# Initialize(field, w, )
w[:, :, 0] = state_adim[0]
w[:, :, 1] = state_adim[1]
w[:, :, 2] = state_adim[2]
w[:, :, 3] = state_adim[3]
w[:, :, 4] = state_adim[4]
# Initialise from A.Poulain routine
## Compressible self-similar profile
road,uad,vad,Ead = blsim.BLprofile(x0[:,:]*Lref, (y0[:,gh:]-ym)*Lref,mach, dphys, isplot=False, damped=False)
## OR Incompressible blasius profile
# # import SIM.blasius_profiles as blasiussim
# # road = _np.ones((im + 2*gh , jm + gh ), order='F')
# # uad,vad = blasiussim.blasius_profiles(x0[:,:]*Lref, y0[:,gh:]*Lref,mach, dphys, isplot=False, damped=False)
road = centers_array(road)
uad = centers_array(uad)
vad = centers_array(vad)
Ead = centers_array(Ead)
w[:, gh:, 0] = road[:,:] * rhoinf
w[:, gh:, 1] = road[:,:]*uad[:,:] * rhoinf * uinf
w[:, gh:, 2] = road[:,:]*vad[:,:] * rhoinf * uinf
w[:, gh:, 4] = road[:,:]*Ead[:,:] * rhoinf * einf
# w[:, :, 2] = 0.
f_init.set_bndbl_2d(w, field, wbd, im)
######## Restart from a previous solution with exactly the same mesh
# import restart_init as ri
# filet = './Wksp/dnc_5/state_atcenter_ite16.dat'
# Xin, Yin, roin, rouin, rovin, rowin, roein = ri.read_init(filet)
# w[gh:-gh, gh:-gh, 0] = roin
# w[gh:-gh, gh:-gh, 1] = rouin
# w[gh:-gh, gh:-gh, 2] = rovin
# w[gh:-gh, gh:-gh, 3] = rowin
# w[gh:-gh, gh:-gh, 4] = roein
## OR Restart from a previous solution with a different mesh (approximated interp. at 1st order, only for cartesian rectangular grids)
# import interpgrid
# w[gh:-gh, gh:-gh, 0] = interpgrid.interpgrid(Xin, Yin, roin, xc[gh:-gh,:], yc[:,gh:-gh])
# w[gh:-gh, gh:-gh, 1] = interpgrid.interpgrid(Xin, Yin, rouin, xc[gh:-gh,:], yc[:,gh:-gh])
# w[gh:-gh, gh:-gh, 2] = interpgrid.interpgrid(Xin, Yin, rovin, xc[gh:-gh,:], yc[:,gh:-gh])
# w[gh:-gh, gh:-gh, 3] = interpgrid.interpgrid(Xin, Yin, rowin, xc[gh:-gh,:], yc[:,gh:-gh])
# w[gh:-gh, gh:-gh, 4] = interpgrid.interpgrid(Xin, Yin, roein, xc[gh:-gh,:], yc[:,gh:-gh])
filename = out_dir + '/initialisation_gh.dat'
__writestate_center_gh(filename, im+2*gh, jm+2*gh, w, xc, yc)
#interfaces definitions (may be done at the begining)
# Ilo
interf1 = _np.zeros((2,2), order='F')
interf1[0,0] = 1 # imin
interf1[0,1] = 1 # jmin
interf1[1,0] = 1 # imax
interf1[1,1] = jm # jmax
# Ihi
interf2 = _np.zeros((2,2), order='F')
interf2[0,0] = im # imin
interf2[0,1] = 1 # jmin
interf2[1,0] = im # imax
interf2[1,1] = jm+gh # jmax
# Jlo
interf3 = _np.zeros((2,2), order='F')
interf3[0,0] = 1-gh # imin
interf3[0,1] = 1 # jmin
interf3[1,0] = im+gh # imax
interf3[1,1] = 1 # jmax
# Jhi
interf4 = _np.zeros((2,2), order='F')
interf4[0,0] = 1-gh # imin
interf4[0,1] = jm # jmin
interf4[1,0] = im # imax
interf4[1,1] = jm # jmax
# Jlow before plate Leading Edge
# interf5 = _np.zeros((2,2), order='F')
# interf5[0,0] = 1-gh # imin
# interf5[0,1] = 1 # jmin
# interf5[1,0] = i_start # imax
# interf5[1,1] = 1 # jmax
# Time Marching Loop
if compmode == 'direct':
freq = freqsort
time = 0.
wreal = w*1.
denom = im*jm*freq*len(rkcoefs)
timein0 = timeit.time.time()
for it in range(1,ite+1):
for rk in rkcoefs:
# Boundary on state vector
finflow(w,'Ilo',interf1,field,nx,ny,gam,im,jm)
# finflow(w,'Ilo', interf1, field,im,jm)
fnoref(w,wbd,'Jhi',interf4,nx,ny,gam,gh,im,jm)
foutflow(w,'Ihi', interf2, im, jm, gh)
fwall(w,'Jlo', gam, interf3, gh, im, jm)
# Compute spatial discretization
if sch == 'dnc':
# fwall needed for dissipation near bnd_wall
fsch(res, w, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, k4, im, jm)
else:
fsch(res, w, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, im, jm)
# advance rk
w[gh:-gh,gh:-gh,0] = wreal[gh:-gh,gh:-gh,0] + rk * dt * res[gh:-gh,gh:-gh,0] / vol[gh:-gh,gh:-gh]
w[gh:-gh,gh:-gh,1] = wreal[gh:-gh,gh:-gh,1] + rk * dt * res[gh:-gh,gh:-gh,1] / vol[gh:-gh,gh:-gh]
w[gh:-gh,gh:-gh,2] = wreal[gh:-gh,gh:-gh,2] + rk * dt * res[gh:-gh,gh:-gh,2] / vol[gh:-gh,gh:-gh]
w[gh:-gh,gh:-gh,3] = wreal[gh:-gh,gh:-gh,3] + rk * dt * res[gh:-gh,gh:-gh,3] / vol[gh:-gh,gh:-gh]
w[gh:-gh,gh:-gh,4] = wreal[gh:-gh,gh:-gh,4] + rk * dt * res[gh:-gh,gh:-gh,4] / vol[gh:-gh,gh:-gh]
#Finalize time step
if it == 1:
norm0, nmoy0 = f_norm.compute_norml2(res ,im, jm, gh)
for lala in range(5):
if (norm0[lala] <=3.e-16): norm0[lala] = 1.
time += dt
wreal = w * 1.
if it%freqres == 0:
norm, nmoy = f_norm.compute_norml2(res ,im, jm, gh)
print('ite = %i , norm2(res) = %s' % (it, norm/norm0))
# if it%freq == 0:
# timetosort = timeit.time.time()
# print 'Time in function = ', (timetosort- timein0) / denom
# norm, nmoy = f_norm.compute_norml2(res ,im, jm, gh)
# print 'ite = %i , norm2(res) = %s' % (it, norm/norm0)
# # print 'write file'
# # usefull for plotting result
# fwall(w,'Jlo', gam, interf3, gh, im, jm)
# filename = out_dir + '/state_at_ite%i.dat' % it
# __writestate_node(filename, im, jm, w, x0, y0, gh)
# filename = out_dir + '/state_atcenter_ite%i.dat' % it
# __writestate_center(filename, im, jm, w, xc, yc, gh)
# timein0 = timeit.time.time()
if it%freqsort == 0:
norm, nmoy = f_norm.compute_norml2(res ,im, jm, gh)
print('ite = %i , norm2(res) = %s' % (it, norm/norm0))
# filename = out_dir + '/state_at_ite%i.dat' % it
# __writestate_node(filename, im, jm, w, x0, y0, gh)
filename = out_dir + '/state_atcenter_ite%i.dat' % it
__writestate_center(filename, im, jm, w, xc, yc, gh)
if it == ite:
filename = out_dir + '/state_atcentergh_ite%i.dat' % it
__writestate_center_gh(filename, im, jm, w, xc, yc)
elif compmode == 'impli':
fimpli = lf[-1]
time = 0.
dtcoef = 1.
# wreal = w*1.
dw = _np.zeros((im + 2*gh , jm + 2*gh , 5), order='F')
# Boundary on state vector
finflow(w,'Ilo',interf1,field,nx,ny,gam,im,jm)
# finflow(w,'Ilo', interf1, field,im,jm)
fnoref(w,wbd,'Jhi',interf4,nx,ny,gam,gh,im,jm)
foutflow(w,'Ihi', interf2, im, jm, gh)
fwall(w,'Jlo', gam, interf3, gh, im, jm)
# fwall(w, tinf,'Jlo', gam, rgaz, interf3, gh, im, jm)
filename = out_dir + '/initialisation_gh.dat'
__writestate_center_gh(filename, im+2*gh, jm+2*gh, w, xc, yc)
lmax = 10 #4
for it in range(1,ite+1):
# if it > 4000: cfl = min(0.5 + (it-4000)*0.001 ,1.)
# if it > 8000: cfl = min(3. + (it-8000)*0.001 ,10.)
# Compute spatial discretization
if sch == 'dnc':
# fwall needed for dissipation near bnd_wall
fsch(res, w, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, k4, im, jm)
else:
fsch(res, w, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, im, jm)
# implicit (MF)
fimpli(dw,nx,ny,w,res,vol,volf,dtcoef,cfl,gam,rgaz,prandtl,lmax,gh,cv,cs,muref,tref,cs,im,jm)
# advance BDF1
w[gh:-gh,gh:-gh,0] += dw[gh:-gh,gh:-gh,0]
w[gh:-gh,gh:-gh,1] += dw[gh:-gh,gh:-gh,1]
w[gh:-gh,gh:-gh,2] += dw[gh:-gh,gh:-gh,2]
w[gh:-gh,gh:-gh,3] += dw[gh:-gh,gh:-gh,3]
w[gh:-gh,gh:-gh,4] += dw[gh:-gh,gh:-gh,4]
# Boundary on state vector
finflow(w,'Ilo',interf1,field,nx,ny,gam,im,jm)
# finflow(w,'Ilo', interf1, field,im,jm)
fnoref(w,wbd,'Jhi',interf4,nx,ny,gam,gh,im,jm)
foutflow(w,'Ihi', interf2, im, jm, gh)
fwall(w,'Jlo', gam, interf3, gh, im, jm)
# fwall(w, tinf,'Jlo', gam, rgaz, interf3, gh, im, jm)
#Finalize time step
if it == 1:
norm0, nmoy0 = f_norm.compute_norml2(res ,im, jm, gh)
for lala in range(5):
if (norm0[lala] <=3.e-16): norm0[lala] = 1.
impl, impl0 = f_norm.compute_norml2(dw ,im, jm, gh)
print('ite = %i , norm2(res) = %s' % (it, norm0))
print('ite = %i , norm2(imp) = %s' % (it, impl))
if it%freqres == 0:
print('cfl = ', cfl)
norm, nmoy = f_norm.compute_norml2(res ,im, jm, gh)
print('ite = %i , norm2(res) = %s' % (it, norm/norm0))
if it%freqsort == 0:
norm, nmoy = f_norm.compute_norml2(res ,im, jm, gh)
print('ite = %i , norm2(res) = %s' % (it, norm/norm0))
# filename = out_dir + '/state_at_ite%i.dat' % it
# __writestate_node(filename, im, jm, w, x0, y0, gh)
filename = out_dir + '/state_atcenter_ite%i.dat' % it
__writestate_center(filename, im, jm, w, xc, yc, gh)
# timein0 = timeit.time.time()
if it == ite:
filename = out_dir + '/state_atcenter_ite%i.dat' % it
__writestate_center(filename, im, jm, w, xc, yc, gh)
filename = out_dir + '/state_atcentergh_ite%i.dat' % it
__writestate_center_gh(filename, im+2*gh, jm+2*gh, w, xc, yc)
elif compmode == 'fixed_point':
# get functions
# lflin = [flininflow, flinoutflow, flinnoref, flinwall, flinsch]
# flininflow = lflin[0]
# flinoutflow = lflin[1]
# flinnoref = lflin[2]
# flinwall = lflin[3]
# flinsch = lflin[4]
# flinsym = lflin[5]
routinein = lflin[0]
routineout = lflin[1]
routinenr = lflin[2]
routinew = lflin[3]
routinesch = lflin[4]
routinebw = lflin[5]
libbnd = lflin[6]
libsch = lflin[7]
flinoutflow = eval("%s.%s" % (libbnd, routineout))
flininflow = eval("%s.%s" % (libbnd, routinein))
flinnoref = eval("%s.%s" % (libbnd, routinenr ))
flinwall = eval("%s.%s" % (libbnd, routinew ))
flinsym = eval("%s.%s" % (libbnd, routinebw ))
flinsch = eval("%s.%s" % (libsch, routinesch))
timeconstructjac = 0.
timeremove = 0.
timecoefdiag = 0.
timejaccsc = 0.
timejacinv = 0.
cfl = 1.e3*10
dt = cfl * (yc[gh,gh+1] - yc[gh,gh]) / (1./mach + 1.)
dtm1 = 1./dt
for it in range(1,ite+1):
wd = _np.zeros((im+2*gh, jm+2*gh), order='F')
resd = _np.zeros((im+2*gh, jm+2*gh), order='F')
# Boundary on state vector
# finflow(w,'Ilo', interf1, field,im,jm)
finflow(w,'Ilo',interf1,field,nx,ny,gam,im,jm)
fnoref(w,wbd,'Jhi',interf4,nx,ny,gam,gh,im,jm)
foutflow(w,'Ihi', interf2, im, jm, gh)
fwall(w,'Jlo', gam, interf3, gh, im, jm)
# twall = 6*tinf
# fwall(w, twall,'Jlo', gam, rgaz, interf3, gh, im, jm)
# fsym(w,'Jlo', interf5, gh, im, jm)
filename = out_dir + '/initialisation_gh.dat'
__writestate_center_gh(filename, im+2*gh, jm+2*gh, w, xc, yc)
# Compute spatial discretization
if 'polar' in routinesch:
fsch(res, w, ym, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, k4, im, jm)
elif 'dnc' in sch:
fsch(res, w, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, k4, im, jm)
# fsch(res, w, twall, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, k4, im, jm)
else:
fsch(res, w, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, im, jm)
norm, ninf = f_norm.compute_norml2inf(res ,im, jm, gh)
if it == 1:
for i in range(5):
norm[i] = max(norm[i],1.e-15)
ninf[i] = max(ninf[i],1.e-15)
norm0m1 = 1./norm
ninf0m1 = 1./ninf
# Iterative Linear Algebra Loop to solve Newton: Solve resd = -res ==> J w_sol = - res
if lasolver == 'gmres':
nl2res = 1.
print(" GMRES Not Yet implemented ")
sys.exit(2)
else:
# construct Jacobian
wd = _np.zeros((im+2*gh, jm+2*gh,5), order='F')
resd = _np.zeros((im+2*gh, jm+2*gh,5), order='F')
nbentry = im*jm * (2*gh+1)*(2*gh+1) * 5*5
Jac = _np.zeros((nbentry), order='F')
IA = _np.zeros((nbentry), dtype=_np.int32, order='F')
JA = _np.zeros((nbentry), dtype=_np.int32, order='F')
timeinjac = timeit.time.time()
## relaxed on diag:
r = _np.max([norm[:3]*norm0m1[:3], ninf[:3]*ninf0m1[:3]])
cflm1 = r*dtm1
print('iter = ', it)
print("1/cfl = ", cflm1)
print(norm)
coefdiag = cflm1 * vol[gh:-gh,gh:-gh]
for m in range(5):
for l in range(1 + 2*gh):
for k in range(1 + 2*gh):
wd *= 0.
f_misc.testvector(wd,m,l,k,gh,im,jm)
w[:gh,:,:] = 0.
w[:,:gh,:] = 0.
w[-gh:,:,:] = 0.
w[:,-gh:,:] = 0.
flininflow(w,wd,'Ilo',interf1,field,nx,ny,gam,im,jm)
# finflow(w,'Ilo', interf1, field,im,jm)
flinnoref(w,wd,wbd,'Jhi',interf4,nx,ny,gam,gh,im,jm)
flinoutflow(w,wd,'Ihi', interf2, im, jm, gh)
foutflow(w,'Ihi', interf2, im, jm, gh)
flinwall(w,wd,'Jlo', gam, interf3, gh, im, jm)
# flinwall(w,wd,twall,'Jlo', gam,rgaz, interf3, gh, im, jm)
# flinsym(w, wd,'Jlo', interf5, gh, im, jm)
if 'polar' in routinesch:
flinsch(res, resd, w, wd, ym, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, k4, im, jm)
elif 'dnc' in sch:
flinsch(res, resd, w, wd, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, k4, im, jm)
# flinsch(res, resd, w, wd, twall, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, k4, im, jm)
else:
flinsch(res, resd, w, wd, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, im, jm)
## Finite Difference method (FD)
# epsilon = 1.e-6 #1.e-8 at order 1 #1.e-6 at order 2
# res1 = _np.zeros((im + 2*gh , jm + 2*gh , 5), order='F')
# w2 = w + epsilon*wd
# w2[:gh,:,:] = 0.
# w2[:,:gh,:] = 0.
# w2[-gh:,:,:] = 0.
# w2[:,-gh:,:] = 0.
# # finflow(w2,'Ilo', interf1, field,im,jm)
# finflow(w2,'Ilo',interf1,field,nx,ny,gam,im,jm)
# fnoref(w2,wbd,'Jhi',interf4,nx,ny,gam,gh,im,jm)
# foutflow(w2,'Ihi', interf2, im, jm, gh)
# fwall(w2,'Jlo', gam, interf3, gh, im, jm)
# if 'dnc' in sch:
# fsch(res1, w2, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, k4, im, jm)
# else:
# fsch(res1, w2, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, im, jm)
# resd = (res1 - res) / epsilon
## OR Finite Difference at order 2
# resm1 = _np.zeros((im + 2*gh , jm + 2*gh , 5), order='F')
# wm = w - epsilon*wd
# wm[:gh,:,:] = 0.
# wm[:,:gh,:] = 0.
# wm[-gh:,:,:] = 0.
# wm[:,-gh:,:] = 0.
# # finflow(wm,'Ilo', interf1, field,im,jm)
# finflow(wm,'Ilo',interf1,field,nx,ny,gam,im,jm)
# fnoref(wm,wbd,'Jhi',interf4,nx,ny,gam,gh,im,jm)
# foutflow(wm,'Ihi', interf2, im, jm, gh)
# fwall(wm,'Jlo', gam, interf3, gh, im, jm)
# if 'dnc' in sch:
# fsch(resm1, wm, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, k4, im, jm)
# else:
# fsch(resm1, wm, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, k2, im, jm)
# resd = (res1 - resm1) / (2*epsilon)
f_misc.computejacobianfromjv_relaxed(Jac,IA,JA,resd,m,l,k,gh,coefdiag)
# if it == ite:
# f_misc.computejacobianfromjv(Jac,IA,JA,resd,m,l,k,gh,im,jm)
# else:
# f_misc.computejacobianfromjv_relaxed(Jac,IA,JA,resd,m,l,k,gh,coefdiag)
## Remove the zero stored
timeinremove = timeit.time.time()
timeconstructjac += (timeinremove - timeinjac)/ite
mini = 2.e-16
IA, JA, Jac = remove_zero_jac(IA, JA, Jac, mini)
nbentry = _np.shape(Jac)[0]
print(nbentry)
timeoutremove = timeit.time.time()
timeremove += (timeoutremove - timeinremove)/ite
# import scipy.sparse as sp
# Jacs = sp.csr_matrix((Jac, (IA, JA)), shape=(im*jm*5, im*jm*5))
Jacs = pet.createMatPetscCSR(IA, JA, Jac, im*jm*5, im*jm*5, 5*(2*gh+1)**2)
timeoutjaccsc = timeit.time.time()
timejaccsc += (timeoutjaccsc - timeoutremove)/ite
# plt.figure()
# plt.spy(Jacs)
# plt.show()
import psutil
ksp = pet.kspLUPetsc(Jacs)
ksp, dwtmp = pet.iterNewton(_np.ravel(res[gh:-gh,gh:-gh,:]), Jacs, ksp)
if it==1 or it==2:
print(psutil.virtual_memory())
from mpi4py import MPI
comm = MPI.COMM_WORLD
comm.Barrier()
dwtmp = _np.real(dwtmp)
timeoutjacinv = timeit.time.time()
timejacinv += (timeoutjacinv - timeoutjaccsc)/ite
dw = _np.reshape(dwtmp, (im,jm,5))
# w[gh:-gh,gh:-gh,:] += dw
if not _np.isnan(_np.sum(dw)):
w[gh:-gh,gh:-gh,:] += dw
dw_old = dw
else:
w[gh:-gh,gh:-gh,:] -= dw_old
cfl = cfl / 2
# if it%freqsort == 0:
# filename = out_dir + '/state_ite%i.dat' % it
# __writestate_node(filename, im, jm, w, x0, y0, gh)
# if it%freqres == 0:
# nn = norm*norm0m1
# # print nn
# filename = out_dir + '/residual.dat'
# fout = open(filename , 'a')
# fout.write(str(it) + ' ' )
# for i in range(5):
# fout.write(str(nn[i]) + ' ')
# fout.write('\n')
# fout.close()
if it == ite:
filename = out_dir + '/fixedpoint.dat'
__writestate_center_gh(filename, im+2*gh, jm+2*gh, w, xc, yc)
filename = out_dir + '/state_atcenter_ite%i.dat' % it
__writestate_center(filename, im, jm, w, xc, yc, gh)
print('Time: ', (timeconstructjac+timeremove+timecoefdiag+timejaccsc+timejacinv)*ite)
# print 'Time to construct Jacobian', timeconstructjac
# print 'Time to remove zeros in Jacobian', timeremove
# print 'Time to convert into csc = ', timejaccsc
# print 'Time to invert = ', timejacinv
# print 'Time Baseflow = ', (timeconstructjac+timeremove+timecoefdiag+timejaccsc+timejacinv)*ite
### Resolvent : compute eigenvalues and eigenvectors
if isresol:
dir = './'
dir = './BASEFLOW_BL/'
os.system('mkdir -p %s' % dir)
equations = [1, 2, 3] #Forcing on momentum equations
print("** Writing matrices for resolvent **")
resol.computeandwrite_PETSc(dir, gam, mach, vol, w, im, jm, gh, nbentry, Jac, IA, JA, equations)