def _pEqn( runTime, mesh, UEqn, thermo, p, psi, U, rho, phi, DpDt, g, initialMass, totalVolume, corr, nCorr, nNonOrthCorr, cumulativeContErr ):
closedVolume = p.needReference()
rho.ext_assign( thermo.rho() )
# Thermodynamic density needs to be updated by psi*d(p) after the
# pressure solution - done in 2 parts. Part 1:
thermo.rho().ext_assign( thermo.rho() - psi * p )
rUA = 1.0/UEqn.A()
from Foam.OpenFOAM import word
from Foam.finiteVolume import surfaceScalarField
from Foam import fvc
rhorUAf = surfaceScalarField( word( "(rho*(1|A(U)))" ), fvc.interpolate( rho * rUA ) )
U.ext_assign( rUA * UEqn.H() )
phiU = fvc.interpolate( rho ) * ( (fvc.interpolate( U ) & mesh.Sf() ) + fvc.ddtPhiCorr( rUA, rho, U, phi ) )
phi.ext_assign( phiU + rhorUAf * fvc.interpolate( rho ) * (g & mesh.Sf() ) )
for nonOrth in range( nNonOrthCorr+1 ):
from Foam import fvm
from Foam.finiteVolume import correction
pEqn = fvc.ddt( rho ) + psi * correction( fvm.ddt( p ) ) + fvc.div( phi ) - fvm.laplacian( rhorUAf, p )
if corr == nCorr-1 and nonOrth == nNonOrthCorr:
pEqn.solve( mesh.solver( word( str( p.name() ) + "Final" ) ) )
pass
else:
pEqn.solve( mesh.solver( p.name() ) )
pass
if nonOrth == nNonOrthCorr:
phi.ext_assign( phi + pEqn.flux() )
pass
# Second part of thermodynamic density update
thermo.rho().ext_assign( thermo.rho() + psi * p )
U.ext_assign( U + rUA * fvc.reconstruct( ( phi - phiU ) / rhorUAf ) )
U.correctBoundaryConditions()
DpDt.ext_assign( fvc.DDt( surfaceScalarField( word( "phiU" ), phi / fvc.interpolate( rho ) ), p ) )
from Foam.finiteVolume.cfdTools.compressible import rhoEqn
rhoEqn( rho, phi )
from Foam.finiteVolume.cfdTools.compressible import compressibleContinuityErrs
cumulativeContErr = compressibleContinuityErrs( rho, thermo, cumulativeContErr )
# For closed-volume cases adjust the pressure and density levels
# to obey overall mass continuity
if closedVolume:
p.ext_assign( p + ( initialMass - fvc.domainIntegrate( psi * p ) ) / fvc.domainIntegrate( psi ) )
thermo.rho().ext_assign( psi * p )
rho.ext_assign( rho + ( initialMass - fvc.domainIntegrate( rho ) ) / totalVolume )
pass
return cumulativeContErr
def fun_pEqn( i, mesh, p, rho, turb, thermo, thermoFluid, K, UEqn, U, phi, psi, DpDt, initialMass, p_rgh, gh, ghf, \
nNonOrthCorr, oCorr, nOuterCorr, corr, nCorr, cumulativeContErr ) :
closedVolume = p_rgh.needReference()
rho.ext_assign( thermo.rho() )
rUA = 1.0 / UEqn.A()
from Foam import fvc
from Foam.OpenFOAM import word
from Foam.finiteVolume import surfaceScalarField
rhorUAf = surfaceScalarField( word( "(rho*(1|A(U)))" ) , fvc.interpolate( rho * rUA ) )
U.ext_assign( rUA * UEqn.H() )
from Foam import fvc
phiU = ( fvc.interpolate( rho ) *
( ( fvc.interpolate( U ) & mesh.Sf() ) +
fvc.ddtPhiCorr( rUA, rho, U, phi ) ) )
phi.ext_assign( phiU - rhorUAf * ghf * fvc.snGrad( rho ) * mesh.magSf() )
from Foam import fvm
for nonOrth in range ( nNonOrthCorr + 1 ):
p_rghEqn = ( fvm.ddt( psi, p_rgh) + fvc.ddt( psi, rho ) * gh + fvc.div( phi ) - fvm.laplacian( rhorUAf, p_rgh ) )
p_rghEqn.solve( mesh.solver( p_rgh.select( ( oCorr == nOuterCorr-1 and corr == ( nCorr-1 ) and nonOrth == nNonOrthCorr ) ) ) )
if nonOrth == nNonOrthCorr :
phi.ext_assign( phi + p_rghEqn.flux() )
pass
pass
# Correct velocity field
U.ext_assign( U + rUA * fvc.reconstruct( ( phi - phiU ) / rhorUAf ) )
U.correctBoundaryConditions()
p.ext_assign( p_rgh + rho * gh )
#Update pressure substantive derivative
DpDt.ext_assign( fvc.DDt( surfaceScalarField( word( "phiU" ), phi / fvc.interpolate( rho ) ), p ) )
# Solve continuity
from Foam.finiteVolume.cfdTools.compressible import rhoEqn
rhoEqn( rho, phi )
# Update continuity errors
cumulativeContErr = compressibleContinuityErrors( i, mesh, rho, thermo, cumulativeContErr )
# For closed-volume cases adjust the pressure and density levels
# to obey overall mass continuity
if closedVolume :
p.ext_assign( p + ( initialMass - fvc.domainIntegrate( psi * p ) ) / fvc.domainIntegrate( psi ) )
rho.ext_assign( thermo.rho() )
p_rgh.ext_assign( p - rho * gh )
pass
#Update thermal conductivity
K.ext_assign( thermoFluid[ i ].Cp() * turb.alphaEff() )
return cumulativeContErr
def fun_pEqn( mesh, p, rho, psi, p_rgh, U, phi, ghf, gh, DpDt, UEqn, thermo, nNonOrthCorr, corr, nCorr, finalIter, cumulativeContErr ):
rho.ext_assign( thermo.rho() )
# Thermodynamic density needs to be updated by psi*d(p) after the
# pressure solution - done in 2 parts. Part 1:
thermo.rho().ext_assign( thermo.rho() - psi * p_rgh )
rUA = 1.0 / UEqn.A()
from Foam.finiteVolume import surfaceScalarField
from Foam.OpenFOAM import word
from Foam import fvc
rhorUAf = surfaceScalarField( word( "(rho*(1|A(U)))" ), fvc.interpolate( rho * rUA ) )
U.ext_assign( rUA*UEqn.H() )
phi.ext_assign( fvc.interpolate( rho ) * ( ( fvc.interpolate( U ) & mesh.Sf() ) + fvc.ddtPhiCorr( rUA, rho, U, phi ) ) )
buoyancyPhi = -rhorUAf * ghf * fvc.snGrad( rho ) * mesh.magSf()
phi.ext_assign( phi + buoyancyPhi )
from Foam import fvm
from Foam.finiteVolume import correction
for nonOrth in range( nNonOrthCorr +1 ):
p_rghEqn = fvc.ddt( rho ) + psi * correction( fvm.ddt( p_rgh ) ) + fvc.div( phi ) - fvm.laplacian( rhorUAf, p_rgh )
p_rghEqn.solve( mesh.solver( p_rgh.select( ( finalIter and corr == nCorr-1 and nonOrth == nNonOrthCorr ) ) ) )
if nonOrth == nNonOrthCorr:
# Calculate the conservative fluxes
phi.ext_assign( phi + p_rghEqn.flux() )
# Explicitly relax pressure for momentum corrector
p_rgh.relax()
# Correct the momentum source with the pressure gradient flux
# calculated from the relaxed pressure
U.ext_assign( U + rUA * fvc.reconstruct( ( buoyancyPhi + p_rghEqn.flux() ) / rhorUAf ) )
U.correctBoundaryConditions()
pass
p.ext_assign( p_rgh + rho * gh )
# Second part of thermodynamic density update
thermo.rho().ext_assign( thermo.rho() + psi * p_rgh )
DpDt.ext_assign( fvc.DDt( surfaceScalarField( word( "phiU" ), phi / fvc.interpolate( rho ) ), p ) )
from Foam.finiteVolume.cfdTools.compressible import rhoEqn
rhoEqn( rho, phi )
from Foam.finiteVolume.cfdTools.compressible import compressibleContinuityErrs
cumulativeContErr = compressibleContinuityErrs( rho, thermo, cumulativeContErr )
return cumulativeContErr
def fun_pdEqn( corr, nCorr, nNonOrthCorr, closedVolume, pd, pRef, rho, psi, rUA, gh, phi ):
closedVolume = pd.needReference()
for nonOrth in range( nNonOrthCorr + 1):
from Foam import fvc, fvm
pdEqn = fvm.ddt( psi, pd ) + fvc.ddt( psi ) * pRef + fvc.ddt(psi, rho) * gh + fvc.div( phi ) - fvm.laplacian( rho * rUA, pd )
pdEqn.solve()
if corr == nCorr-1 and nonOrth == nNonOrthCorr :
from Foam.OpenFOAM import word
pdEqn.solve( pd.mesh().solver( word( str( pd.name() ) + "Final" ) ) )
pass
else:
pdEqn.solve( pd.mesh().solver( pd.name() ) )
pass
if nonOrth == nNonOrthCorr:
phi.ext_assign(phi + pdEqn.flux() )
return pdEqn, closedVolume
def fun_pEqn( i, mesh, p, rho, turb, thermo, thermoFluid, K, UEqn, U, phi, psi, DpDt, initialMass, p_rgh, gh, ghf, \
nNonOrthCorr, oCorr, nOuterCorr, corr, nCorr, cumulativeContErr ) :
closedVolume = p_rgh.needReference()
rho.ext_assign(thermo.rho())
rUA = 1.0 / UEqn.A()
from Foam import fvc
from Foam.OpenFOAM import word
from Foam.finiteVolume import surfaceScalarField
rhorUAf = surfaceScalarField(word("(rho*(1|A(U)))"),
fvc.interpolate(rho * rUA))
U.ext_assign(rUA * UEqn.H())
from Foam import fvc
phiU = (fvc.interpolate(rho) * (
(fvc.interpolate(U) & mesh.Sf()) + fvc.ddtPhiCorr(rUA, rho, U, phi)))
phi.ext_assign(phiU - rhorUAf * ghf * fvc.snGrad(rho) * mesh.magSf())
from Foam import fvm
for nonOrth in range(nNonOrthCorr + 1):
p_rghEqn = (fvm.ddt(psi, p_rgh) + fvc.ddt(psi, rho) * gh +
fvc.div(phi) - fvm.laplacian(rhorUAf, p_rgh))
p_rghEqn.solve(
mesh.solver(
p_rgh.select((oCorr == nOuterCorr - 1 and corr == (nCorr - 1)
and nonOrth == nNonOrthCorr))))
if nonOrth == nNonOrthCorr:
phi.ext_assign(phi + p_rghEqn.flux())
pass
pass
# Correct velocity field
U.ext_assign(U + rUA * fvc.reconstruct((phi - phiU) / rhorUAf))
U.correctBoundaryConditions()
p.ext_assign(p_rgh + rho * gh)
#Update pressure substantive derivative
DpDt.ext_assign(
fvc.DDt(surfaceScalarField(word("phiU"), phi / fvc.interpolate(rho)),
p))
# Solve continuity
from Foam.finiteVolume.cfdTools.compressible import rhoEqn
rhoEqn(rho, phi)
# Update continuity errors
cumulativeContErr = compressibleContinuityErrors(i, mesh, rho, thermo,
cumulativeContErr)
# For closed-volume cases adjust the pressure and density levels
# to obey overall mass continuity
if closedVolume:
p.ext_assign(p + (initialMass - fvc.domainIntegrate(psi * p)) /
fvc.domainIntegrate(psi))
rho.ext_assign(thermo.rho())
p_rgh.ext_assign(p - rho * gh)
pass
#Update thermal conductivity
K.ext_assign(thermoFluid[i].Cp() * turb.alphaEff())
return cumulativeContErr
def main_standalone( argc, argv ):
from Foam.OpenFOAM.include import setRootCase
args = setRootCase( argc, argv )
from Foam.OpenFOAM.include import createTime
runTime = createTime( args )
from Foam.OpenFOAM.include import createMesh
mesh = createMesh( runTime )
thermo, p, e, T, psi, mu, U, pbf, rhoBoundaryTypes, rho, rhoU, rhoE, pos, neg, inviscid = _createFields( runTime, mesh )
thermophysicalProperties, Pr = readThermophysicalProperties( runTime, mesh )
from Foam.finiteVolume.cfdTools.general.include import readTimeControls
adjustTimeStep, maxCo, maxDeltaT = readTimeControls( runTime )
fluxScheme = readFluxScheme( mesh )
from Foam.OpenFOAM import dimensionedScalar, dimVolume, dimTime, word
v_zero = dimensionedScalar( word( "v_zero" ) ,dimVolume/dimTime, 0.0)
from Foam.OpenFOAM import ext_Info, nl
ext_Info() << "\nStarting time loop\n" << nl
while runTime.run() :
# --- upwind interpolation of primitive fields on faces
from Foam import fvc
rho_pos = fvc.interpolate( rho, pos, word( "reconstruct(rho)" ) )
rho_neg = fvc.interpolate( rho, neg, word( "reconstruct(rho)" ) )
rhoU_pos = fvc.interpolate( rhoU, pos, word( "reconstruct(U)" ) )
rhoU_neg = fvc.interpolate( rhoU, neg, word( "reconstruct(U)" ) )
rPsi = 1.0 / psi
rPsi_pos = fvc.interpolate( rPsi, pos, word( "reconstruct(T)" ) )
rPsi_neg = fvc.interpolate( rPsi, neg, word( "reconstruct(T)" ) )
e_pos = fvc.interpolate( e, pos, word( "reconstruct(T)" ) )
e_neg = fvc.interpolate( e, neg, word( "reconstruct(T)" ) )
U_pos = rhoU_pos / rho_pos
U_neg = rhoU_neg / rho_neg
p_pos = rho_pos * rPsi_pos
p_neg = rho_neg * rPsi_neg
phiv_pos = U_pos & mesh.Sf()
phiv_neg = U_neg & mesh.Sf()
c = ( thermo.Cp() / thermo.Cv() * rPsi ).sqrt()
cSf_pos = fvc.interpolate( c, pos, word( "reconstruct(T)" ) ) * mesh.magSf()
cSf_neg = fvc.interpolate( c, neg, word( "reconstruct(T)" ) ) * mesh.magSf()
ap = ( phiv_pos + cSf_pos ).ext_max( phiv_neg + cSf_neg ).ext_max( v_zero )
am = ( phiv_pos - cSf_pos ).ext_min( phiv_neg - cSf_neg ).ext_min( v_zero )
a_pos = ap / ( ap - am )
from Foam.finiteVolume import surfaceScalarField
amaxSf = surfaceScalarField( word( "amaxSf" ), am.mag().ext_max( ap.mag() ) )
CoNum, meanCoNum = compressibleCourantNo( mesh, amaxSf, runTime )
from Foam.finiteVolume.cfdTools.general.include import readTimeControls
adjustTimeStep, maxCo, maxDeltaT = readTimeControls( runTime )
from Foam.finiteVolume.cfdTools.general.include import setDeltaT
runTime = setDeltaT( runTime, adjustTimeStep, maxCo, maxDeltaT, CoNum )
runTime.increment()
ext_Info() << "Time = " << runTime.timeName() << nl << nl
aSf = am * a_pos
if str( fluxScheme ) == "Tadmor":
aSf.ext_assign( -0.5 * amaxSf )
a_pos.ext_assign( 0.5 )
pass
a_neg = 1.0 - a_pos
phiv_pos *= a_pos
phiv_neg *= a_neg
aphiv_pos = phiv_pos - aSf
aphiv_neg = phiv_neg + aSf
phi = None
phi = surfaceScalarField( word( "phi" ), aphiv_pos * rho_pos + aphiv_neg * rho_neg )
phiUp = ( aphiv_pos * rhoU_pos + aphiv_neg * rhoU_neg) + ( a_pos * p_pos + a_neg * p_neg ) * mesh.Sf()
phiEp = aphiv_pos * ( rho_pos * ( e_pos + 0.5*U_pos.magSqr() ) + p_pos ) + aphiv_neg * ( rho_neg * ( e_neg + 0.5 * U_neg.magSqr() ) + p_neg )\
+ aSf * p_pos - aSf * p_neg
from Foam.finiteVolume import volTensorField
from Foam import fvc
tauMC = volTensorField( word( "tauMC" ) , mu * fvc.grad(U).T().dev2() )
# --- Solve density
from Foam.finiteVolume import solve
from Foam import fvm
solve( fvm.ddt( rho ) + fvc.div( phi ) )
# --- Solve momentum
solve( fvm.ddt( rhoU ) + fvc.div( phiUp ) )
U.dimensionedInternalField().ext_assign( rhoU.dimensionedInternalField() / rho.dimensionedInternalField() )
U.correctBoundaryConditions()
rhoU.ext_boundaryField().ext_assign( rho.ext_boundaryField() * U.ext_boundaryField() )
rhoBydt = rho / runTime.deltaT()
if not inviscid:
solve( fvm.ddt( rho, U ) - fvc.ddt( rho, U ) - fvm.laplacian( mu, U ) - fvc.div( tauMC ) )
rhoU.ext_assign( rho * U )
pass
# --- Solve energy
sigmaDotU = ( fvc.interpolate( mu ) * mesh.magSf() * fvc.snGrad( U ) + ( mesh.Sf() & fvc.interpolate( tauMC ) ) ) & ( a_pos * U_pos + a_neg * U_neg )
solve( fvm.ddt( rhoE ) + fvc.div( phiEp ) - fvc.div( sigmaDotU ) )
e.ext_assign( rhoE / rho - 0.5 * U.magSqr() )
e.correctBoundaryConditions()
thermo.correct()
from Foam.finiteVolume import volScalarField
rhoE.ext_boundaryField().ext_assign( rho.ext_boundaryField() * ( e.ext_boundaryField() + 0.5 * U.ext_boundaryField().magSqr() ) )
if not inviscid:
k = volScalarField( word( "k" ) , thermo.Cp() * mu / Pr )
# The initial C++ expression does not work properly, because of
# 1. the order of expression arguments computation differs with C++
#solve( fvm.ddt( rho, e ) - fvc.ddt( rho, e ) - fvm.laplacian( thermo.alpha(), e ) \
# + fvc.laplacian( thermo.alpha(), e ) - fvc.laplacian( k, T ) )
solve( -fvc.laplacian( k, T ) + ( fvc.laplacian( thermo.alpha(), e ) \
+ (- fvm.laplacian( thermo.alpha(), e ) + (- fvc.ddt( rho, e ) + fvm.ddt( rho, e ) ) ) ) )
thermo.correct()
rhoE.ext_assign( rho * ( e + 0.5 * U.magSqr() ) )
pass
p.dimensionedInternalField().ext_assign( rho.dimensionedInternalField() / psi.dimensionedInternalField() )
p.correctBoundaryConditions()
rho.ext_boundaryField().ext_assign( psi.ext_boundaryField() * p.ext_boundaryField() )
runTime.write()
ext_Info() << "ExecutionTime = " << runTime.elapsedCpuTime() << " s" << \
" ClockTime = " << runTime.elapsedClockTime() << " s" << nl << nl
pass
ext_Info() << "End\n"
import os
return os.EX_OK
def _pEqn(runTime, mesh, UEqn, thermo, p, psi, U, rho, phi, DpDt, g,
initialMass, totalVolume, corr, nCorr, nNonOrthCorr,
cumulativeContErr):
closedVolume = p.needReference()
rho.ext_assign(thermo.rho())
# Thermodynamic density needs to be updated by psi*d(p) after the
# pressure solution - done in 2 parts. Part 1:
thermo.rho().ext_assign(thermo.rho() - psi * p)
rUA = 1.0 / UEqn.A()
from Foam.OpenFOAM import word
from Foam.finiteVolume import surfaceScalarField
from Foam import fvc
rhorUAf = surfaceScalarField(word("(rho*(1|A(U)))"),
fvc.interpolate(rho * rUA))
U.ext_assign(rUA * UEqn.H())
phiU = fvc.interpolate(rho) * (
(fvc.interpolate(U) & mesh.Sf()) + fvc.ddtPhiCorr(rUA, rho, U, phi))
phi.ext_assign(phiU + rhorUAf * fvc.interpolate(rho) * (g & mesh.Sf()))
for nonOrth in range(nNonOrthCorr + 1):
from Foam import fvm
from Foam.finiteVolume import correction
pEqn = fvc.ddt(rho) + psi * correction(
fvm.ddt(p)) + fvc.div(phi) - fvm.laplacian(rhorUAf, p)
if corr == nCorr - 1 and nonOrth == nNonOrthCorr:
pEqn.solve(mesh.solver(word(str(p.name()) + "Final")))
pass
else:
pEqn.solve(mesh.solver(p.name()))
pass
if nonOrth == nNonOrthCorr:
phi.ext_assign(phi + pEqn.flux())
pass
# Second part of thermodynamic density update
thermo.rho().ext_assign(thermo.rho() + psi * p)
U.ext_assign(U + rUA * fvc.reconstruct((phi - phiU) / rhorUAf))
U.correctBoundaryConditions()
DpDt.ext_assign(
fvc.DDt(surfaceScalarField(word("phiU"), phi / fvc.interpolate(rho)),
p))
from Foam.finiteVolume.cfdTools.compressible import rhoEqn
rhoEqn(rho, phi)
from Foam.finiteVolume.cfdTools.compressible import compressibleContinuityErrs
cumulativeContErr = compressibleContinuityErrs(rho, thermo,
cumulativeContErr)
# For closed-volume cases adjust the pressure and density levels
# to obey overall mass continuity
if closedVolume:
p.ext_assign(p + (initialMass - fvc.domainIntegrate(psi * p)) /
fvc.domainIntegrate(psi))
thermo.rho().ext_assign(psi * p)
rho.ext_assign(rho +
(initialMass - fvc.domainIntegrate(rho)) / totalVolume)
pass
return cumulativeContErr
def fun_pEqn(mesh, p, rho, psi, p_rgh, U, phi, ghf, gh, DpDt, UEqn, thermo,
nNonOrthCorr, corr, nCorr, finalIter, cumulativeContErr):
rho.ext_assign(thermo.rho())
# Thermodynamic density needs to be updated by psi*d(p) after the
# pressure solution - done in 2 parts. Part 1:
thermo.rho().ext_assign(thermo.rho() - psi * p_rgh)
rUA = 1.0 / UEqn.A()
from Foam.finiteVolume import surfaceScalarField
from Foam.OpenFOAM import word
from Foam import fvc
rhorUAf = surfaceScalarField(word("(rho*(1|A(U)))"),
fvc.interpolate(rho * rUA))
U.ext_assign(rUA * UEqn.H())
phi.ext_assign(
fvc.interpolate(rho) *
((fvc.interpolate(U) & mesh.Sf()) + fvc.ddtPhiCorr(rUA, rho, U, phi)))
buoyancyPhi = -rhorUAf * ghf * fvc.snGrad(rho) * mesh.magSf()
phi.ext_assign(phi + buoyancyPhi)
from Foam import fvm
from Foam.finiteVolume import correction
for nonOrth in range(nNonOrthCorr + 1):
p_rghEqn = fvc.ddt(rho) + psi * correction(
fvm.ddt(p_rgh)) + fvc.div(phi) - fvm.laplacian(rhorUAf, p_rgh)
p_rghEqn.solve(
mesh.solver(
p_rgh.select((finalIter and corr == nCorr - 1
and nonOrth == nNonOrthCorr))))
if nonOrth == nNonOrthCorr:
# Calculate the conservative fluxes
phi.ext_assign(phi + p_rghEqn.flux())
# Explicitly relax pressure for momentum corrector
p_rgh.relax()
# Correct the momentum source with the pressure gradient flux
# calculated from the relaxed pressure
U.ext_assign(U + rUA * fvc.reconstruct(
(buoyancyPhi + p_rghEqn.flux()) / rhorUAf))
U.correctBoundaryConditions()
pass
p.ext_assign(p_rgh + rho * gh)
# Second part of thermodynamic density update
thermo.rho().ext_assign(thermo.rho() + psi * p_rgh)
DpDt.ext_assign(
fvc.DDt(surfaceScalarField(word("phiU"), phi / fvc.interpolate(rho)),
p))
from Foam.finiteVolume.cfdTools.compressible import rhoEqn
rhoEqn(rho, phi)
from Foam.finiteVolume.cfdTools.compressible import compressibleContinuityErrs
cumulativeContErr = compressibleContinuityErrs(rho, thermo,
cumulativeContErr)
return cumulativeContErr
def main_standalone(argc, argv):
from Foam.OpenFOAM.include import setRootCase
args = setRootCase(argc, argv)
from Foam.OpenFOAM.include import createTime
runTime = createTime(args)
from Foam.OpenFOAM.include import createMesh
mesh = createMesh(runTime)
thermo, p, e, T, psi, mu, U, pbf, rhoBoundaryTypes, rho, rhoU, rhoE, pos, neg, inviscid = _createFields(
runTime, mesh)
thermophysicalProperties, Pr = readThermophysicalProperties(runTime, mesh)
from Foam.finiteVolume.cfdTools.general.include import readTimeControls
adjustTimeStep, maxCo, maxDeltaT = readTimeControls(runTime)
fluxScheme = readFluxScheme(mesh)
from Foam.OpenFOAM import dimensionedScalar, dimVolume, dimTime, word
v_zero = dimensionedScalar(word("v_zero"), dimVolume / dimTime, 0.0)
from Foam.OpenFOAM import ext_Info, nl
ext_Info() << "\nStarting time loop\n" << nl
while runTime.run():
# --- upwind interpolation of primitive fields on faces
from Foam import fvc
rho_pos = fvc.interpolate(rho, pos, word("reconstruct(rho)"))
rho_neg = fvc.interpolate(rho, neg, word("reconstruct(rho)"))
rhoU_pos = fvc.interpolate(rhoU, pos, word("reconstruct(U)"))
rhoU_neg = fvc.interpolate(rhoU, neg, word("reconstruct(U)"))
rPsi = 1.0 / psi
rPsi_pos = fvc.interpolate(rPsi, pos, word("reconstruct(T)"))
rPsi_neg = fvc.interpolate(rPsi, neg, word("reconstruct(T)"))
e_pos = fvc.interpolate(e, pos, word("reconstruct(T)"))
e_neg = fvc.interpolate(e, neg, word("reconstruct(T)"))
U_pos = rhoU_pos / rho_pos
U_neg = rhoU_neg / rho_neg
p_pos = rho_pos * rPsi_pos
p_neg = rho_neg * rPsi_neg
phiv_pos = U_pos & mesh.Sf()
phiv_neg = U_neg & mesh.Sf()
c = (thermo.Cp() / thermo.Cv() * rPsi).sqrt()
cSf_pos = fvc.interpolate(c, pos,
word("reconstruct(T)")) * mesh.magSf()
cSf_neg = fvc.interpolate(c, neg,
word("reconstruct(T)")) * mesh.magSf()
ap = (phiv_pos + cSf_pos).ext_max(phiv_neg + cSf_neg).ext_max(v_zero)
am = (phiv_pos - cSf_pos).ext_min(phiv_neg - cSf_neg).ext_min(v_zero)
a_pos = ap / (ap - am)
from Foam.finiteVolume import surfaceScalarField
amaxSf = surfaceScalarField(word("amaxSf"), am.mag().ext_max(ap.mag()))
aSf = am * a_pos
if str(fluxScheme) == "Tadmor":
aSf.ext_assign(-0.5 * amaxSf)
a_pos.ext_assign(0.5)
pass
a_neg = 1.0 - a_pos
phiv_pos *= a_pos
phiv_neg *= a_neg
aphiv_pos = phiv_pos - aSf
aphiv_neg = phiv_neg + aSf
# Reuse amaxSf for the maximum positive and negative fluxes
# estimated by the central scheme
amaxSf.ext_assign(aphiv_pos.mag().ext_max(aphiv_neg.mag()))
CoNum, meanCoNum = compressibleCourantNo(mesh, amaxSf, runTime)
from Foam.finiteVolume.cfdTools.general.include import readTimeControls
adjustTimeStep, maxCo, maxDeltaT = readTimeControls(runTime)
from Foam.finiteVolume.cfdTools.general.include import setDeltaT
runTime = setDeltaT(runTime, adjustTimeStep, maxCo, maxDeltaT, CoNum)
runTime.increment()
ext_Info() << "Time = " << runTime.timeName() << nl << nl
phi = None
phi = surfaceScalarField(word("phi"),
aphiv_pos * rho_pos + aphiv_neg * rho_neg)
phiUp = (aphiv_pos * rhoU_pos + aphiv_neg *
rhoU_neg) + (a_pos * p_pos + a_neg * p_neg) * mesh.Sf()
phiEp = aphiv_pos * ( rho_pos * ( e_pos + 0.5*U_pos.magSqr() ) + p_pos ) + aphiv_neg * ( rho_neg * ( e_neg + 0.5 * U_neg.magSqr() ) + p_neg )\
+ aSf * p_pos - aSf * p_neg
from Foam.finiteVolume import volTensorField
from Foam import fvc
tauMC = volTensorField(word("tauMC"), mu * fvc.grad(U).T().dev2())
# --- Solve density
from Foam.finiteVolume import solve
from Foam import fvm
solve(fvm.ddt(rho) + fvc.div(phi))
# --- Solve momentum
solve(fvm.ddt(rhoU) + fvc.div(phiUp))
U.dimensionedInternalField().ext_assign(
rhoU.dimensionedInternalField() / rho.dimensionedInternalField())
U.correctBoundaryConditions()
rhoU.ext_boundaryField().ext_assign(rho.ext_boundaryField() *
U.ext_boundaryField())
rhoBydt = rho / runTime.deltaT()
if not inviscid:
solve(
fvm.ddt(rho, U) - fvc.ddt(rho, U) - fvm.laplacian(mu, U) -
fvc.div(tauMC))
rhoU.ext_assign(rho * U)
pass
# --- Solve energy
sigmaDotU = (fvc.interpolate(mu) * mesh.magSf() * fvc.snGrad(U) +
(mesh.Sf() & fvc.interpolate(tauMC))) & (a_pos * U_pos +
a_neg * U_neg)
solve(fvm.ddt(rhoE) + fvc.div(phiEp) - fvc.div(sigmaDotU))
e.ext_assign(rhoE / rho - 0.5 * U.magSqr())
e.correctBoundaryConditions()
thermo.correct()
from Foam.finiteVolume import volScalarField
rhoE.ext_boundaryField().ext_assign(
rho.ext_boundaryField() *
(e.ext_boundaryField() + 0.5 * U.ext_boundaryField().magSqr()))
if not inviscid:
k = volScalarField(word("k"), thermo.Cp() * mu / Pr)
# The initial C++ expression does not work properly, because of
# 1. the order of expression arguments computation differs with C++
#solve( fvm.ddt( rho, e ) - fvc.ddt( rho, e ) - fvm.laplacian( thermo.alpha(), e ) \
# + fvc.laplacian( thermo.alpha(), e ) - fvc.laplacian( k, T ) )
solve( -fvc.laplacian( k, T ) + ( fvc.laplacian( thermo.alpha(), e ) \
+ (- fvm.laplacian( thermo.alpha(), e ) + (- fvc.ddt( rho, e ) + fvm.ddt( rho, e ) ) ) ) )
thermo.correct()
rhoE.ext_assign(rho * (e + 0.5 * U.magSqr()))
pass
p.dimensionedInternalField().ext_assign(
rho.dimensionedInternalField() / psi.dimensionedInternalField())
p.correctBoundaryConditions()
rho.ext_boundaryField().ext_assign(psi.ext_boundaryField() *
p.ext_boundaryField())
runTime.write()
ext_Info() << "ExecutionTime = " << runTime.elapsedCpuTime() << " s" << \
" ClockTime = " << runTime.elapsedClockTime() << " s" << nl << nl
pass
ext_Info() << "End\n"
import os
return os.EX_OK