cellLimitedGrads.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) 1991-2010 OpenCFD Ltd.
     \\/     M anipulation  |
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#include "cellLimitedGrad.H"
#include <finiteVolume/gaussGrad.H>
#include <finiteVolume/fvMesh.H>
#include <finiteVolume/volMesh.H>
#include <finiteVolume/surfaceMesh.H>
#include <finiteVolume/volFields.H>
#include <finiteVolume/fixedValueFvPatchFields.H>

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

namespace Foam
{

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

namespace fv
{

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

makeFvGradScheme(cellLimitedGrad)

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

template<>
inline void cellLimitedGrad<scalar>::limitFace
(
    scalar& limiter,
    const scalar& maxDelta,
    const scalar& minDelta,
    const scalar& extrapolate
)
{
    if (extrapolate > maxDelta + VSMALL)
    {
        limiter = min(limiter, maxDelta/extrapolate);
    }
    else if (extrapolate < minDelta - VSMALL)
    {
        limiter = min(limiter, minDelta/extrapolate);
    }
}

template<class Type>
inline void cellLimitedGrad<Type>::limitFace
(
    Type& limiter,
    const Type& maxDelta,
    const Type& minDelta,
    const Type& extrapolate
)
{
    for(direction cmpt=0; cmpt<Type::nComponents; cmpt++)
    {
        cellLimitedGrad<scalar>::limitFace
        (
            limiter.component(cmpt),
            maxDelta.component(cmpt),
            minDelta.component(cmpt),
            extrapolate.component(cmpt)
        );
    }
}


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

template<>
tmp<volVectorField> cellLimitedGrad<scalar>::grad
(
    const volScalarField& vsf
) const
{
    const fvMesh& mesh = vsf.mesh();

    tmp<volVectorField> tGrad = basicGradScheme_().grad(vsf);

    if (k_ < SMALL)
    {
        return tGrad;
    }

    volVectorField& g = tGrad();

    const unallocLabelList& owner = mesh.owner();
    const unallocLabelList& neighbour = mesh.neighbour();

    const volVectorField& C = mesh.C();
    const surfaceVectorField& Cf = mesh.Cf();

    scalarField maxVsf(vsf.internalField());
    scalarField minVsf(vsf.internalField());

    forAll(owner, facei)
    {
        label own = owner[facei];
        label nei = neighbour[facei];

        scalar vsfOwn = vsf[own];
        scalar vsfNei = vsf[nei];

        maxVsf[own] = max(maxVsf[own], vsfNei);
        minVsf[own] = min(minVsf[own], vsfNei);

        maxVsf[nei] = max(maxVsf[nei], vsfOwn);
        minVsf[nei] = min(minVsf[nei], vsfOwn);
    }


    const volScalarField::GeometricBoundaryField& bsf = vsf.boundaryField();

    forAll(bsf, patchi)
    {
        const fvPatchScalarField& psf = bsf[patchi];

        const unallocLabelList& pOwner = mesh.boundary()[patchi].faceCells();

        if (psf.coupled())
        {
            scalarField psfNei = psf.patchNeighbourField();

            forAll(pOwner, pFacei)
            {
                label own = pOwner[pFacei];
                scalar vsfNei = psfNei[pFacei];

                maxVsf[own] = max(maxVsf[own], vsfNei);
                minVsf[own] = min(minVsf[own], vsfNei);
            }
        }
        else
        {
            forAll(pOwner, pFacei)
            {
                label own = pOwner[pFacei];
                scalar vsfNei = psf[pFacei];

                maxVsf[own] = max(maxVsf[own], vsfNei);
                minVsf[own] = min(minVsf[own], vsfNei);
            }
        }
    }

    maxVsf -= vsf;
    minVsf -= vsf;

    if (k_ < 1.0)
    {
        scalarField maxMinVsf = (1.0/k_ - 1.0)*(maxVsf - minVsf);
        maxVsf += maxMinVsf;
        minVsf -= maxMinVsf;

        //maxVsf *= 1.0/k_;
        //minVsf *= 1.0/k_;
    }


    // create limiter
    scalarField limiter(vsf.internalField().size(), 1.0);

    forAll(owner, facei)
    {
        label own = owner[facei];
        label nei = neighbour[facei];

        // owner side
        limitFace
        (
            limiter[own],
            maxVsf[own],
            minVsf[own],
            (Cf[facei] - C[own]) & g[own]
        );

        // neighbour side
        limitFace
        (
            limiter[nei],
            maxVsf[nei],
            minVsf[nei],
            (Cf[facei] - C[nei]) & g[nei]
        );
    }

    forAll(bsf, patchi)
    {
        const unallocLabelList& pOwner = mesh.boundary()[patchi].faceCells();
        const vectorField& pCf = Cf.boundaryField()[patchi];

        forAll(pOwner, pFacei)
        {
            label own = pOwner[pFacei];

            limitFace
            (
                limiter[own],
                maxVsf[own],
                minVsf[own],
                (pCf[pFacei] - C[own]) & g[own]
            );
        }
    }

    if (fv::debug)
    {
        Info<< "gradient limiter for: " << vsf.name()
            << " max = " << gMax(limiter)
            << " min = " << gMin(limiter)
            << " average: " << gAverage(limiter) << endl;
    }

    g.internalField() *= limiter;
    g.correctBoundaryConditions();
    gaussGrad<scalar>::correctBoundaryConditions(vsf, g);

    return tGrad;
}


template<>
tmp<volTensorField> cellLimitedGrad<vector>::grad
(
    const volVectorField& vsf
) const
{
    const fvMesh& mesh = vsf.mesh();

    tmp<volTensorField> tGrad = basicGradScheme_().grad(vsf);

    if (k_ < SMALL)
    {
        return tGrad;
    }

    volTensorField& g = tGrad();

    const unallocLabelList& owner = mesh.owner();
    const unallocLabelList& neighbour = mesh.neighbour();

    const volVectorField& C = mesh.C();
    const surfaceVectorField& Cf = mesh.Cf();

    vectorField maxVsf(vsf.internalField());
    vectorField minVsf(vsf.internalField());

    forAll(owner, facei)
    {
        label own = owner[facei];
        label nei = neighbour[facei];

        const vector& vsfOwn = vsf[own];
        const vector& vsfNei = vsf[nei];

        maxVsf[own] = max(maxVsf[own], vsfNei);
        minVsf[own] = min(minVsf[own], vsfNei);

        maxVsf[nei] = max(maxVsf[nei], vsfOwn);
        minVsf[nei] = min(minVsf[nei], vsfOwn);
    }


    const volVectorField::GeometricBoundaryField& bsf = vsf.boundaryField();

    forAll(bsf, patchi)
    {
        const fvPatchVectorField& psf = bsf[patchi];
        const unallocLabelList& pOwner = mesh.boundary()[patchi].faceCells();

        if (psf.coupled())
        {
            vectorField psfNei = psf.patchNeighbourField();

            forAll(pOwner, pFacei)
            {
                label own = pOwner[pFacei];
                const vector& vsfNei = psfNei[pFacei];

                maxVsf[own] = max(maxVsf[own], vsfNei);
                minVsf[own] = min(minVsf[own], vsfNei);
            }
        }
        else
        {
            forAll(pOwner, pFacei)
            {
                label own = pOwner[pFacei];
                const vector& vsfNei = psf[pFacei];

                maxVsf[own] = max(maxVsf[own], vsfNei);
                minVsf[own] = min(minVsf[own], vsfNei);
            }
        }
    }

    maxVsf -= vsf;
    minVsf -= vsf;

    if (k_ < 1.0)
    {
        vectorField maxMinVsf = (1.0/k_ - 1.0)*(maxVsf - minVsf);
        maxVsf += maxMinVsf;
        minVsf -= maxMinVsf;

        //maxVsf *= 1.0/k_;
        //minVsf *= 1.0/k_;
    }


    // create limiter
    vectorField limiter(vsf.internalField().size(), vector::one);

    forAll(owner, facei)
    {
        label own = owner[facei];
        label nei = neighbour[facei];

        // owner side
        limitFace
        (
            limiter[own],
            maxVsf[own],
            minVsf[own],
            (Cf[facei] - C[own]) & g[own]
        );

        // neighbour side
        limitFace
        (
            limiter[nei],
            maxVsf[nei],
            minVsf[nei],
            (Cf[facei] - C[nei]) & g[nei]
        );
    }

    forAll(bsf, patchi)
    {
        const unallocLabelList& pOwner = mesh.boundary()[patchi].faceCells();
        const vectorField& pCf = Cf.boundaryField()[patchi];

        forAll(pOwner, pFacei)
        {
            label own = pOwner[pFacei];

            limitFace
            (
                limiter[own],
                maxVsf[own],
                minVsf[own],
                ((pCf[pFacei] - C[own]) & g[own])
            );
        }
    }

    if (fv::debug)
    {
        Info<< "gradient limiter for: " << vsf.name()
            << " max = " << gMax(limiter)
            << " min = " << gMin(limiter)
            << " average: " << gAverage(limiter) << endl;
    }

    tensorField& gIf = g.internalField();

    forAll(gIf, celli)
    {
        gIf[celli] = tensor
        (
            cmptMultiply(limiter[celli], gIf[celli].x()),
            cmptMultiply(limiter[celli], gIf[celli].y()),
            cmptMultiply(limiter[celli], gIf[celli].z())
        );
    }

    g.correctBoundaryConditions();
    gaussGrad<vector>::correctBoundaryConditions(vsf, g);

    return tGrad;
}


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

} // End namespace fv

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

} // End namespace Foam

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