gaussLaplacianScheme.C

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#include "gaussLaplacianScheme.H"
#include <finiteVolume/surfaceInterpolate.H>
#include <finiteVolume/fvcDiv.H>
#include <finiteVolume/fvcGrad.H>
#include <finiteVolume/fvMatrices.H>

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

namespace Foam
{

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

namespace fv
{

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

template<class Type, class GType>
tmp<fvMatrix<Type> >
gaussLaplacianScheme<Type, GType>::fvmLaplacianUncorrected
(
    const surfaceScalarField& gammaMagSf,
    GeometricField<Type, fvPatchField, volMesh>& vf
)
{
    tmp<surfaceScalarField> tdeltaCoeffs =
        this->tsnGradScheme_().deltaCoeffs(vf);
    const surfaceScalarField& deltaCoeffs = tdeltaCoeffs();

    tmp<fvMatrix<Type> > tfvm
    (
        new fvMatrix<Type>
        (
            vf,
            deltaCoeffs.dimensions()*gammaMagSf.dimensions()*vf.dimensions()
        )
    );
    fvMatrix<Type>& fvm = tfvm();

    fvm.upper() = deltaCoeffs.internalField()*gammaMagSf.internalField();
    fvm.negSumDiag();

    forAll(fvm.psi().boundaryField(), patchI)
    {
        const fvPatchField<Type>& psf = fvm.psi().boundaryField()[patchI];
        const fvsPatchScalarField& patchGamma =
            gammaMagSf.boundaryField()[patchI];

        fvm.internalCoeffs()[patchI] = patchGamma*psf.gradientInternalCoeffs();
        fvm.boundaryCoeffs()[patchI] = -patchGamma*psf.gradientBoundaryCoeffs();
    }

    return tfvm;
}


template<class Type, class GType>
tmp<GeometricField<Type, fvsPatchField, surfaceMesh> >
gaussLaplacianScheme<Type, GType>::gammaSnGradCorr
(
    const surfaceVectorField& SfGammaCorr,
    const GeometricField<Type, fvPatchField, volMesh>& vf
)
{
    const fvMesh& mesh = this->mesh();

    tmp<GeometricField<Type, fvsPatchField, surfaceMesh> > tgammaSnGradCorr
    (
        new GeometricField<Type, fvsPatchField, surfaceMesh>
        (
            IOobject
            (
                "gammaSnGradCorr("+vf.name()+')',
                vf.instance(),
                mesh,
                IOobject::NO_READ,
                IOobject::NO_WRITE
            ),
            mesh,
            SfGammaCorr.dimensions()
           *vf.dimensions()*mesh.deltaCoeffs().dimensions()
        )
    );

    for (direction cmpt = 0; cmpt < pTraits<Type>::nComponents; cmpt++)
    {
        tgammaSnGradCorr().replace
        (
            cmpt,
            SfGammaCorr & fvc::interpolate(fvc::grad(vf.component(cmpt)))
        );
    }

    return tgammaSnGradCorr;
}


// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

template<class Type, class GType>
tmp<GeometricField<Type, fvPatchField, volMesh> >
gaussLaplacianScheme<Type, GType>::fvcLaplacian
(
    const GeometricField<Type, fvPatchField, volMesh>& vf
)
{
    const fvMesh& mesh = this->mesh();

    tmp<GeometricField<Type, fvPatchField, volMesh> > tLaplacian
    (
        fvc::div(this->tsnGradScheme_().snGrad(vf)*mesh.magSf())
    );

    tLaplacian().rename("laplacian(" + vf.name() + ')');

    return tLaplacian;
}


template<class Type, class GType>
tmp<fvMatrix<Type> >
gaussLaplacianScheme<Type, GType>::fvmLaplacian
(
    const GeometricField<GType, fvsPatchField, surfaceMesh>& gamma,
    GeometricField<Type, fvPatchField, volMesh>& vf
)
{
    const fvMesh& mesh = this->mesh();

    surfaceVectorField Sn = mesh.Sf()/mesh.magSf();

    surfaceVectorField SfGamma = mesh.Sf() & gamma;
    GeometricField<scalar, fvsPatchField, surfaceMesh> SfGammaSn = SfGamma & Sn;
    surfaceVectorField SfGammaCorr = SfGamma - SfGammaSn*Sn;

    tmp<fvMatrix<Type> > tfvm = fvmLaplacianUncorrected(SfGammaSn, vf);
    fvMatrix<Type>& fvm = tfvm();

    tmp<GeometricField<Type, fvsPatchField, surfaceMesh> > tfaceFluxCorrection
        = gammaSnGradCorr(SfGammaCorr, vf);

    if (this->tsnGradScheme_().corrected())
    {
        tfaceFluxCorrection() +=
            SfGammaSn*this->tsnGradScheme_().correction(vf);
    }

    fvm.source() -= mesh.V()*fvc::div(tfaceFluxCorrection())().internalField();

    if (mesh.fluxRequired(vf.name()))
    {
        fvm.faceFluxCorrectionPtr() = tfaceFluxCorrection.ptr();
    }

    return tfvm;
}


template<class Type, class GType>
tmp<GeometricField<Type, fvPatchField, volMesh> >
gaussLaplacianScheme<Type, GType>::fvcLaplacian
(
    const GeometricField<GType, fvsPatchField, surfaceMesh>& gamma,
    const GeometricField<Type, fvPatchField, volMesh>& vf
)
{
    const fvMesh& mesh = this->mesh();

    surfaceVectorField Sn = mesh.Sf()/mesh.magSf();

    surfaceVectorField SfGamma = mesh.Sf() & gamma;
    GeometricField<scalar, fvsPatchField, surfaceMesh> SfGammaSn = SfGamma & Sn;
    surfaceVectorField SfGammaCorr = SfGamma - SfGammaSn*Sn;

    tmp<GeometricField<Type, fvPatchField, volMesh> > tLaplacian
    (
        fvc::div
        (
            SfGammaSn*this->tsnGradScheme_().snGrad(vf)
          + gammaSnGradCorr(SfGammaCorr, vf)
        )
    );

    tLaplacian().rename("laplacian(" + gamma.name() + ',' + vf.name() + ')');

    return tLaplacian;
}


// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

} // End namespace fv

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

} // End namespace Foam

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