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DzMatrix_axi.py
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DzMatrix_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/.
## Compute the coupling matrices between 2 plans in z-direction (Dz and Dzz)
## For axisym.
import BROADCAST as toy
import srcfv.f_geom as f_geom
import srcfv.f_bnd as f_bnd
import srcfv.f_lin as f_lin
import misc.f_misc as f_misc
import f_init
import SIM.BLprofiles_implicit as blsim
import misc.PETSc_func as pet
import srcfv.f_dz_axi as f_dz_axi
import restart_init as ri
import numpy as _np
# import pickle
from petsc4py import PETSc
################################################
## CARD ##
dir = 'Wksp'
dir2 = 'dnc_5'
file = 'state_atcenter_500_y150'
file = 'state_atcenter_ite15'
dirout = './BASEFLOW_BL/'
dphys = dict()
dphys['Mach'] = 4.5 #4.5
dphys['T0'] = 288. #288.
dphys['Runit'] = 3.4e6 #3.4e6
ym = 0.
extraporder = 2
routineout = 'bc_extrapolate_o%i_2d' % extraporder
routinein = 'bc_supandsubinlet_2d'
# routinein = 'bc_general_2d'
routinenr = 'bc_no_reflexion_2d'
routinew = 'bc_wall_viscous_adia_2d'
##################################################
## PROGRAM ##
libbnd = 'f_bnd'
finflow = eval("%s.%s" % (libbnd, routinein))
foutflow = eval("%s.%s" % (libbnd, routineout))
fnoref = eval("%s.%s" % (libbnd, routinenr ))
fwall = eval("%s.%s" % (libbnd, routinew ))
libbnd = 'f_lin'
routineout += '_d'
routinein += '_d'
routinenr += '_d'
routinew += '_d'
flininflow = eval("%s.%s" % (libbnd, routinein))
flinoutflow = eval("%s.%s" % (libbnd, routineout))
flinnoref = eval("%s.%s" % (libbnd, routinenr ))
flinwall = eval("%s.%s" % (libbnd, routinew ))
dphys['gam'] = 1.4
dphys['cs'] = 110.4
dphys['Ts'] = 273.15 #273.15 #288
dphys['musuth'] = 1.716e-5 #1.716e-5 #1.711e-5
dphys['rgaz'] = 287.1
dphys['Prandtl'] = 0.72
gam = dphys['gam']
cs = dphys['cs']
tref = dphys['Ts']
muref = dphys['musuth']
rgaz = dphys['rgaz']
prandtl = dphys['Prandtl']
mach = dphys['Mach']
tinf = dphys['T0']
runit = dphys['Runit']
muinf = toy.__comp_Sutherland(muref, tref, cs, tinf)
sound = _np.sqrt(gam*rgaz*tinf)
uinf = mach * sound
einf = toy.__compute_tot_energy_inf(rgaz, gam, tinf, uinf)
rhoinf = runit*muinf/uinf
dphys['mu0'] = muinf
cp = gam * rgaz /(gam-1.)
cv = rgaz /(gam-1.)
Roref = rhoinf
Vref = uinf
Tref = tinf
Cvref = Vref**2/Tref
Rgpref = Cvref
Eref = Vref**2
Muref = muinf
Lref = Muref/(Roref*Vref)
cp = cp/Cvref
cv = cv/Cvref
rgaz = rgaz/Rgpref
tref = tref/Tref
muref = muref/Muref
cs = cs/Tref
uinf = uinf/Vref
tinf = tinf/Tref
rhoinf = rhoinf/Roref
einf = einf/Eref
muinf = muinf/Muref
filet = './' + dir + '/' + dir2 + '/' + file + '.dat'
xc_tmp, yc_tmp, ro, rou, rov, row, roe = ri.read_init(filet)
im = _np.shape(xc_tmp)[0]
jm = _np.shape(yc_tmp)[1]
ym *= 1./Lref
gh = (int(dir2[-1]) + 1) / 2
x0_tmp = _np.zeros((im+ 1, jm+ 1 ), order='F')
y0_tmp = _np.zeros((im+ 1, jm+ 1 ), order='F')
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')
f_geom.bordersfromcenters_2d(x0_tmp,y0_tmp,xc_tmp,yc_tmp,im,jm)
## More accurate if the user knows the minimal x and y points
xmin = 0.0048/Lref
ymin = ym
f_geom.bordersfromcenters_rectangular_2d(x0_tmp,y0_tmp,xc_tmp,yc_tmp,xmin,ymin)
for j in range(jm+1):
for i in range(im+1):
x0[i+gh,j+gh] = x0_tmp[i,j]
y0[i+gh,j+gh] = y0_tmp[i,j]
f_geom.computegeom_2d(x0,y0,nx,ny,xc,yc,vol,volf,im,jm,gh)
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
# 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,uad,vad,Ead = blsim.BLprofile(x0[:,:]*Lref, (y0[:,gh:]-ym)*Lref,mach, dphys, isplot=False, damped=False)
road = toy.centers_array(road)
uad = toy.centers_array(uad)
vad = toy.centers_array(vad)
Ead = toy.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
f_init.set_bndbl_2d(w, field, wbd, im)
w[gh:-gh, gh:-gh, 0] = ro
w[gh:-gh, gh:-gh, 1] = rou
w[gh:-gh, gh:-gh, 2] = rov
w[gh:-gh, gh:-gh, 3] = row
w[gh:-gh, gh:-gh, 4] = roe
###
# import resolvent_all as resol
# Qq = resol.computeQ_Ec(w[gh:-gh,gh:-gh,:], vol[gh:-gh,gh:-gh])
# viewer = PETSc.Viewer().createBinary(dirout+'QqEc', 'w')
# viewer(Qq)
# print 'Q Ec written'
###
#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 #1-gh #i_start-gh+1
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
# foutflow(w,'Jhi', interf4, im, jm, gh)
# 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)
## To check that the 2D baseflow was converged
import srcfv.f_norm as f_norm
import srcfv.f_sch as f_sch
fsch = eval("f_sch.flux_num_dnc5_nowall_polar_2d")
res = _np.zeros((im + 2*gh , jm + 2*gh , 5), order='F')
k2 = 1.01
k4 = 1.
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)
norm, ninf = f_norm.compute_norml2inf(res ,im, jm, gh)
print(norm)
filename = './' + dir + '/' + dir2 + '/residualDz.dat'
toy.__writestate_center(filename, im, jm, res, xc, yc, gh)
wd = _np.zeros((im+2*gh, jm+2*gh,5), order='F')
dz = _np.zeros((im+2*gh, jm+2*gh,5), order='F')
dz2 = _np.zeros((im+2*gh, jm+2*gh,5), order='F')
nbentry = im*jm * (2*gh+1)*(2*gh+1) * 5*5
Jacdz = _np.zeros((nbentry), order='F')
IAdz = _np.zeros((nbentry), dtype=_np.int32, order='F')
JAdz = _np.zeros((nbentry), dtype=_np.int32, order='F')
Jacdz2 = _np.zeros((nbentry), order='F')
IAdz2 = _np.zeros((nbentry), dtype=_np.int32, order='F')
JAdz2 = _np.zeros((nbentry), dtype=_np.int32, order='F')
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)
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)
f_dz_axi.coeffs_5p_dz(dz, w, wd, ym, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, im, jm)
# f_dz_axi.coeffs_9p_dz(dz, w, wd, ym, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, im, jm)
f_dz_axi.coeffs_5p_dz2(dz2, w, wd, ym, x0, y0, nx, ny, xc, yc, vol, volf, gh, cp, cv, prandtl, gam, rgaz, cs, muref, tref, cs, im, jm)
f_misc.computejacobianfromdz(Jacdz,IAdz,JAdz,dz,m,l,k,gh,im,jm)
f_misc.computejacobianfromdz(Jacdz2,IAdz2,JAdz2,dz2,m,l,k,gh,im,jm)
mini = 2.e-16
IAdz, JAdz, Jacdz = toy.remove_zero_jac(IAdz, JAdz, Jacdz, mini)
IAdz2, JAdz2, Jacdz2 = toy.remove_zero_jac(IAdz2, JAdz2, Jacdz2, mini)
nbentry = _np.shape(Jacdz)[0]
# print nbentry
# import scipy.sparse as sp
# import matplotlib.pyplot as plt
# Jacs = sp.csr_matrix((Jacdz2, (IAdz2, JAdz2)), shape=(im*jm*5, im*jm*5))
# plt.figure()
# plt.spy(Jacs)
# plt.show()
# pickle.dump( [IAdz, JAdz, Jacdz], open( dirout + "AIJdz","wb") )
# pickle.dump( [IAdz2, JAdz2, Jacdz2], open( dirout + "AIJdz2","wb") )
print("** Writing 3D-component matrices **")
Dz = pet.createMatPetscCSR(IAdz, JAdz, Jacdz, im*jm*5, im*jm*5, 5*(2*gh+1)**2)
Dz2 = pet.createMatPetscCSR(IAdz2, JAdz2, Jacdz2, im*jm*5, im*jm*5, 5*(2*gh+1)**2)
viewer = PETSc.Viewer().createBinary(dirout+'Dz', 'w')
# viewer = PETSc.Viewer().createBinary(dirout+'Dz_o8', 'w')
viewer(Dz)
viewer = PETSc.Viewer().createBinary(dirout+'Dz2', 'w')
viewer(Dz2)