gaussLaplacianScheme.C

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#include "gaussLaplacianScheme.H"
#include "surfaceInterpolate.H"
#include "fvcDiv.H"
#include "fvcGrad.H"
#include "fvMatrices.H"

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

namespace Foam
{

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

namespace fv
{

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

template<class Type, class GType>
tmp<fvMatrix<Type>>
gaussLaplacianScheme<Type, GType>::fvmLaplacianUncorrected
(
    const surfaceScalarField& gammaMagSf,
    const surfaceScalarField& deltaCoeffs,
    const GeometricField<Type, fvPatchField, volMesh>& vf
)
{
    tmp<fvMatrix<Type>> tfvm
    (
        new fvMatrix<Type>
        (
            vf,
            deltaCoeffs.dimensions()*gammaMagSf.dimensions()*vf.dimensions()
        )
    );
    fvMatrix<Type>& fvm = tfvm.ref();

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

    forAll(vf.boundaryField(), patchi)
    {
        const fvPatchField<Type>& pvf = vf.boundaryField()[patchi];
        const fvsPatchScalarField& pGamma = gammaMagSf.boundaryField()[patchi];
        const fvsPatchScalarField& pDeltaCoeffs =
            deltaCoeffs.boundaryField()[patchi];

        if (pvf.coupled())
        {
            fvm.internalCoeffs()[patchi] =
                pGamma*pvf.gradientInternalCoeffs(pDeltaCoeffs);
            fvm.boundaryCoeffs()[patchi] =
               -pGamma*pvf.gradientBoundaryCoeffs(pDeltaCoeffs);
        }
        else
        {
            fvm.internalCoeffs()[patchi] = pGamma*pvf.gradientInternalCoeffs();
            fvm.boundaryCoeffs()[patchi] = -pGamma*pvf.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
    (
        GeometricField<Type, fvsPatchField, surfaceMesh>::New
        (
            "gammaSnGradCorr("+vf.name()+')',
            mesh,
            SfGammaCorr.dimensions()
           *vf.dimensions()*mesh.deltaCoeffs().dimensions()
        )
    );

    for (direction cmpt = 0; cmpt < pTraits<Type>::nComponents; cmpt++)
    {
        tgammaSnGradCorr.ref().replace
        (
            cmpt,
            fvc::dotInterpolate(SfGammaCorr, 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.ref().rename("laplacian(" + vf.name() + ')');

    return tLaplacian;
}


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

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

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

    tmp<fvMatrix<Type>> tfvm = fvmLaplacianUncorrected
    (
        SfGammaSn,
        this->tsnGradScheme_().deltaCoeffs(vf),
        vf
    );
    fvMatrix<Type>& fvm = tfvm.ref();

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

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

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

    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();

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

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

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

    return tLaplacian;
}


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

} // End namespace fv

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

} // End namespace Foam

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