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exec/compressible_stag/test_NO2_dimerization_neq_wall: routines for c…
…hecking the entropy flux / production balance added to the noneq steady-state NO2 dimerization example
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exec/compressible_stag/test_NO2_dimerization_neq_wall/entropy_check.py
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import numpy as np | ||
import math | ||
import entropy_check_funcs | ||
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ns = 2 | ||
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# read data | ||
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infile = "res.zavg3" | ||
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[z_in,rho_in,rhoE_in,rhoYk0_in,rhoYk1_in,T_in,p_in,Yk0_in,Yk1_in,Xk0_in,Xk1_in] = np.loadtxt(infile,usecols=(0,1,3,5,7,9,11,13,15,17,19),unpack=True) | ||
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nz = len(z_in) | ||
dz = z_in[1]-z_in[0] | ||
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cu0 = rho_in | ||
cu4 = rhoE_in | ||
cu5 = rhoYk0_in | ||
cu6 = rhoYk1_in | ||
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prim0 = rho_in | ||
prim4 = T_in | ||
prim5 = p_in | ||
prim6 = Yk0_in | ||
prim7 = Yk1_in | ||
prim8 = Xk0_in | ||
prim9 = Xk1_in | ||
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# compute transport coefficients | ||
[eta,kappa,zeta,Dij,chi] = entropy_check_funcs.ComputeTransportCoefficients(prim0,prim4,prim5,prim6,prim7) | ||
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# compute chemical potentials and chemical production rates | ||
[mu1,mu2,Omega1,Omega2] = entropy_check_funcs.ComputeChemPotChemProdRate(cu5,cu6,prim4) | ||
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# output for additional layer info | ||
outfile1 = "res.layer_info" | ||
np.savetxt(outfile1,np.column_stack((z_in,eta,kappa,zeta,Dij[:,0],Dij[:,1],Dij[:,2],Dij[:,3],chi[:,0],chi[:,1],mu1,mu2,Omega1,Omega2))) | ||
print("** %s generated" % outfile1) | ||
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# compute fluxes Q and Fk | ||
[Qz,F1z,F2z,QQz] = entropy_check_funcs.ComputeQzFkz(dz,kappa,Dij,chi,prim4,prim5,prim6,prim7,prim8,prim9) | ||
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# output for fluxes | ||
outfile2 = "res.fluxes" | ||
np.savetxt(outfile2,np.column_stack((z_in,Qz,F1z,F2z,QQz))) | ||
print("** %s generated" % outfile2) | ||
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# div(Q/T) | ||
Tface = np.zeros(nz) | ||
for k in range(1,nz): | ||
Tface[k] = 0.5*(prim4[k-1]+prim4[k]) | ||
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term1 = np.zeros(nz) | ||
for k in range(1,nz-1): | ||
tmp2 = Qz[k+1]/Tface[k+1] | ||
tmp1 = Qz[k]/Tface[k] | ||
term1[k] = (tmp2-tmp1)/dz | ||
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# sum div(muk*Fk/T) | ||
mu1face = np.zeros(nz) | ||
mu2face = np.zeros(nz) | ||
for k in range(1,nz): | ||
mu1face[k] = 0.5*(mu1[k-1]+mu1[k]) | ||
mu2face[k] = 0.5*(mu2[k-1]+mu2[k]) | ||
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term2 = np.zeros(nz) | ||
for k in range(1,nz-1): | ||
tmp2 = mu1face[k+1]*F1z[k+1]/Tface[k+1] | ||
tmp1 = mu1face[k]*F1z[k]/Tface[k] | ||
term2[k] += (tmp2-tmp1)/dz | ||
tmp2 = mu2face[k+1]*F2z[k+1]/Tface[k+1] | ||
tmp1 = mu2face[k]*F2z[k]/Tface[k] | ||
term2[k] += (tmp2-tmp1)/dz | ||
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# Q.gradT/T^2 | ||
gradTz = np.zeros(nz) | ||
for k in range(1,nz): | ||
gradTz[k] = (prim4[k]-prim4[k-1])/dz | ||
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term3 = np.zeros(nz) | ||
for k in range(1,nz-1): | ||
tmp1 = Qz[k]*gradTz[k]/Tface[k]/Tface[k] | ||
tmp2 = Qz[k+1]*gradTz[k+1]/Tface[k+1]/Tface[k+1] | ||
term3[k] = 0.5*(tmp1+tmp2) | ||
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# sum Fk.div(muk/T) | ||
gradmu1Tz = np.zeros(nz) | ||
gradmu2Tz = np.zeros(nz) | ||
for k in range(1,nz): | ||
gradmu1Tz[k] = (mu1[k]/prim4[k]-mu1[k-1]/prim4[k-1])/dz | ||
gradmu2Tz[k] = (mu2[k]/prim4[k]-mu2[k-1]/prim4[k-1])/dz | ||
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term4 = np.zeros(nz) | ||
for k in range(1,nz-1): | ||
tmp1 = F1z[k]*gradmu1Tz[k] | ||
tmp2 = F1z[k+1]*gradmu1Tz[k+1] | ||
term4[k] = 0.5*(tmp1+tmp2) | ||
tmp1 = F2z[k]*gradmu2Tz[k] | ||
tmp2 = F2z[k+1]*gradmu2Tz[k+1] | ||
term4[k] += 0.5*(tmp1+tmp2) | ||
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# sum muk*Mk*Omegak | ||
M1 = 46.0055 | ||
M2 = 92.0110 | ||
term5 = np.zeros(nz) | ||
for k in range(1,nz-1): | ||
term5[k] = (mu1[k]*M1*Omega1[k]+mu2[k]*M2*Omega2[k])/prim4[k] | ||
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# div(F1) | ||
term11 = np.zeros(nz) | ||
for k in range(1,nz-1): | ||
term11[k] = (F1z[k+1]-F1z[k])/dz | ||
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# M1*Omega1 | ||
term12 = np.zeros(nz) | ||
for k in range(1,nz-1): | ||
term12[k] = M1*Omega1[k] | ||
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# div(Qz) | ||
term13 = np.zeros(nz) | ||
for k in range(1,nz-1): | ||
term13[k] = (Qz[k+1]-Qz[k])/dz | ||
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# (div.Q)/T | ||
term14 = np.zeros(nz) | ||
for k in range(1,nz-1): | ||
term14[k] = (Qz[k+1]-Qz[k])/dz/prim4[k] | ||
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# sum muk*(div(Fk)-Mk*Omegak)/T | ||
term15 = np.zeros(nz) | ||
for k in range(1,nz-1): | ||
tmp = (F1z[k+1]-F1z[k])/dz | ||
term15[k] = mu1[k]*(tmp-M1*Omega1[k])/prim4[k] | ||
tmp = (F2z[k+1]-F2z[k])/dz | ||
term15[k] += mu2[k]*(tmp-M2*Omega2[k])/prim4[k] | ||
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# output for final terms | ||
outfile3 = "res.entropy_check" | ||
np.savetxt(outfile3,np.column_stack((z_in,term1,term2,term3,term4,term5,term11,term12,term13,term14,term15))) | ||
print("** %s generated" % outfile3) |
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