gaussLaplacianScheme.C

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/*---------------------------------------------------------------------------*\
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  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
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    \\  /    A nd           | Copyright (C) 2011-2013 OpenFOAM Foundation
     \\/     M anipulation  |
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    for more details.
 
    You should have received a copy of the GNU General Public License
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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();
 
    fvm.upper() = deltaCoeffs.internalField()*gammaMagSf.internalField();
    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
    (
        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,
    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();
 
    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();
 
    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().rename("laplacian(" + gamma.name() + ',' + vf.name() + ')');
 
    return tLaplacian;
}
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace fv
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace Foam
 
// ************************************************************************* //