void Foam::porosityZone::addResistance(fvVectorMatrix& UEqn) const
{
if (cellZoneID_ == -1)
{
return;
}
bool compressible = false;
if (UEqn.dimensions() == dimensionSet(1, 1, -2, 0, 0))
{
compressible = true;
}
const labelList& cells = mesh_.cellZones()[cellZoneID_];
const scalarField& V = mesh_.V();
scalarField& Udiag = UEqn.diag();
vectorField& Usource = UEqn.source();
const vectorField& U = UEqn.psi();
const tensor& D = D_.value();
const tensor& F = F_.value();
if (magSqr(D) > VSMALL || magSqr(F) > VSMALL)
{
if (compressible)
{
addViscousInertialResistance
(
Udiag,
Usource,
cells,
V,
mesh_.lookupObject<volScalarField>("rho"),
mesh_.lookupObject<volScalarField>("mu"),
U
);
}
else
{
addViscousInertialResistance
(
Udiag,
Usource,
cells,
V,
geometricOneField(),
mesh_.lookupObject<volScalarField>("nu"),
U
);
}
}
}
void Foam::porosityModels::powerLaw::correct
(
fvVectorMatrix& UEqn,
const volScalarField& rho,
const volScalarField& mu
) const
{
const vectorField& U = UEqn.psi();
const scalarField& V = mesh_.V();
scalarField& Udiag = UEqn.diag();
apply(Udiag, V, rho, U);
}
void Foam::porousZone::addResistance
(
fvVectorMatrix& UEqn,
const volScalarField& rho,
const volScalarField& mu
) const
{
if (cellZoneIds_.empty())
{
return;
}
const scalarField& V = mesh_.V();
scalarField& Udiag = UEqn.diag();
vectorField& Usource = UEqn.source();
const vectorField& U = UEqn.psi();
if (C0_ > VSMALL)
{
addPowerLawResistance
(
Udiag,
V,
rho,
U
);
}
const tensor& D = D_.value();
const tensor& F = F_.value();
if (magSqr(D) > VSMALL || magSqr(F) > VSMALL)
{
addViscousInertialResistance
(
Udiag,
Usource,
V,
rho,
mu,
U
);
}
}
void Foam::porosityModels::powerLaw::correct
(
fvVectorMatrix& UEqn
) const
{
const vectorField& U = UEqn.psi();
const scalarField& V = mesh_.V();
scalarField& Udiag = UEqn.diag();
if (UEqn.dimensions() == dimForce)
{
const volScalarField& rho =
mesh_.lookupObject<volScalarField>(rhoName_);
apply(Udiag, V, rho, U);
}
else
{
apply(Udiag, V, geometricOneField(), U);
}
}
void Foam::smallStrainSolidInterface::correct(fvVectorMatrix& UEqn)
{
const fvMesh& mesh = solidInterface::mesh();
const unallocLabelList& owner = mesh.owner();
const unallocLabelList& neighbour = mesh.neighbour();
const volVectorField& U = UEqn.psi();
const vectorField& UI = U.internalField();
const volTensorField& gradU =
mesh.lookupObject<volTensorField>("grad(" + U.name() + ')');
const tensorField& gradUI = gradU.internalField();
const volScalarField& mu = mesh.lookupObject<volScalarField>("mu");
const volScalarField& lambda = mesh.lookupObject<volScalarField>("lambda");
const vectorField& SI = mesh.Sf().internalField();
const scalarField& magSI = mesh.magSf().internalField();
const scalarField& deltaCoeffs = mesh.deltaCoeffs().internalField();
const scalarField& w = mesh.weights().internalField();
scalarField& diag = UEqn.diag();
scalarField& upper = UEqn.upper();
vectorField& source = UEqn.source();
FieldField<Field, vector>& boundaryCoeffs = UEqn.boundaryCoeffs();
vectorField& interU = interfaceDisplacement();
// FAM interfacetengential gradient
// tensorField interSGradU(interU.size(), tensor::zero);
// if (tangGradMethod_ == FAM)
// {
// faMesh aMesh(mesh);
// const labelList& faceLabels = aMesh.faceLabels();
// wordList patchFieldTypes
// (
// aMesh.boundary().size(),
// zeroGradientFaPatchVectorField::typeName
// );
// areaVectorField Us
// (
// IOobject
// (
// "Us",
// mesh.time().timeName(),
// mesh,
// IOobject::NO_READ,
// IOobject::AUTO_WRITE
// ),
// aMesh,
// dimensioned<vector>("Us", dimLength, vector::zero),
// patchFieldTypes
// );
// forAll(globalInterFaces(), faceI)
// {
// label curFace = globalInterFaces()[faceI];
// label index = findIndex(faceLabels, curFace);
// Us.internalField()[index] = interU[faceI];
// }
// Us.correctBoundaryConditions();
// tensorField sGradU = fac::grad(Us)().internalField();
// forAll(globalInterFaces(), faceI)
// {
// label curFace = globalInterFaces()[faceI];
// label index = findIndex(faceLabels, curFace);
// interSGradU[faceI] = sGradU[index];
// }
// }
// Internal faces
forAll(globalInterFaces(), faceI)
{
label curGlobalFace = globalInterFaces()[faceI];
label curOwner = owner[curGlobalFace];
label curNeighbour = neighbour[curGlobalFace];
vector ownN = SI[curGlobalFace]/magSI[curGlobalFace];
//vector ngbN = -ownN;
scalar magS = magSI[curGlobalFace];
// the interface tangential gradient may be calculated
// in one of three ways:
// 1) extrapolation from adjoining cell centres
// 2) inteprolation from adjoining cell centres
// 3) directly calculated using the finite area method
tensor ownGradU = tensor::zero;
tensor ngbGradU = tensor::zero;
//tensor ownSGradU = tensor::zero;
//tensor ngbSGradU = tensor::zero;
// if (tangGradMethod_ == EXTRAP)
{
// extrapolate tangential gradient
ownGradU = gradUI[curOwner];
ngbGradU = gradUI[curNeighbour];
}
// else if (tangGradMethod_ == INTERP)
// {
// // interpolate tangential gradient
// ownGradU = 0.5*(
// gradUI[curOwner]
// +
// gradUI[curNeighbour]
// );
// ngbGradU = ownGradU;
// ownSGradU = ((I-ownN*ownN)&ownGradU);
// ngbSGradU = ((I-ngbN*ngbN)&ngbGradU);
// }
// else if (tangGradMethod_ == FAM)
// {
// // finite area method tangential gradient
// ownSGradU = interSGradU[faceI];
// ngbSGradU = interSGradU[faceI];
// // not exactly true but OK as full grad is only
// // used for non-orthogonal corrections
// ownGradU = ownSGradU;
// ngbGradU = ngbSGradU;
// }
scalar ownTrGradU = tr(ownGradU);
scalar ngbTrGradU = tr(ngbGradU);
// vector ownSGradUn = (ownSGradU&ownN);
// vector ngbSGradUn = (ngbSGradU&ownN);
// scalar ownTrSGradUt = tr(ownSGradU&(I-ownN*ownN));
// scalar ngbTrSGradUt = tr(ngbSGradU&(I-ownN*ownN));
scalar ngbDn = w[curGlobalFace]*(1.0/deltaCoeffs[curGlobalFace]);
scalar ownDn = (1.0/deltaCoeffs[curGlobalFace]) - ngbDn;
scalar ownMu = mu.internalField()[curOwner];
scalar ngbMu = mu.internalField()[curNeighbour];
scalar ownLambda = lambda.internalField()[curOwner];
scalar ngbLambda = lambda.internalField()[curNeighbour];
scalar ownK = (2*ownMu + ownLambda);
scalar ngbK = (2*ngbMu + ngbLambda);
// Interface displacement
// no decomposition of traction - philipc
// explicit terms are lumped together in Q
vector Qa =
ownMu*(ownN&ownGradU.T())
+ (ownLambda*ownTrGradU*ownN)
- (ownMu+ownLambda)*(ownN&ownGradU);
vector Qb =
ngbMu*(ownN&ngbGradU.T())
+ (ngbLambda*ngbTrGradU*ownN)
- (ngbMu+ngbLambda)*(ownN&ngbGradU);
vector ownU = UI[curOwner];
vector ngbU = UI[curNeighbour];
interU[faceI] =
(
ownK*ngbDn*ownU + ngbK*ownDn*ngbU
+ (ownDn*ngbDn*(Qb - Qa))
)
/(ownK*ngbDn + ngbK*ownDn);
// Implicit coupling
scalar wRevLin = 1.0 - w[curGlobalFace];
// philipc: is this stiffness the best choice for convergence?
// if ownK=1 and ngbK=2 then Kf=1.333
// A rational choice for Kf might be anywhere between 1 and 2
// but which gives the optimal convergence...
scalar Kf = 1.0/(wRevLin/ownK + (1.0-wRevLin)/ngbK);
scalar Dnf = 1.0/deltaCoeffs[curGlobalFace];
// Owner
diag[curOwner] += Kf*magS/Dnf;
upper[curGlobalFace] -= Kf*magS/Dnf;
// philipc - no decomposition
source[curOwner] +=
(
ownK*ngbDn*Qb
+ ngbK*ownDn*Qa
)*magS
/(ownK*ngbDn + ngbK*ownDn);
// Neighbour
diag[curNeighbour] += Kf*magS/Dnf;
// philipc - no decomposition
source[curNeighbour] -=
(
ownK*ngbDn*Qb
+ ngbK*ownDn*Qa
)*magS
/(ownK*ngbDn + ngbK*ownDn);
}
