extendedLeastSquaresGrad.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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License
    This file is part of OpenFOAM.

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#include "extendedLeastSquaresGrad.H"
#include "extendedLeastSquaresVectors.H"
#include <finiteVolume/gaussGrad.H>
#include <finiteVolume/fvMesh.H>
#include <finiteVolume/volMesh.H>
#include <finiteVolume/surfaceMesh.H>
#include <OpenFOAM/GeometricField.H>
#include <finiteVolume/zeroGradientFvPatchField.H>

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

namespace Foam
{

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

namespace fv
{

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

template<class Type>
tmp
<
    GeometricField
    <
        typename outerProduct<vector, Type>::type, fvPatchField, volMesh
    >
>
extendedLeastSquaresGrad<Type>::grad
(
    const GeometricField<Type, fvPatchField, volMesh>& vsf
) const
{
    typedef typename outerProduct<vector, Type>::type GradType;

    const fvMesh& mesh = vsf.mesh();

    tmp<GeometricField<GradType, fvPatchField, volMesh> > tlsGrad
    (
        new GeometricField<GradType, fvPatchField, volMesh>
        (
            IOobject
            (
                "grad("+vsf.name()+')',
                vsf.instance(),
                mesh,
                IOobject::NO_READ,
                IOobject::NO_WRITE
            ),
            mesh,
            dimensioned<GradType>
            (
                "zero",
                vsf.dimensions()/dimLength,
                pTraits<GradType>::zero
            ),
            zeroGradientFvPatchField<GradType>::typeName
        )
    );
    GeometricField<GradType, fvPatchField, volMesh>& lsGrad = tlsGrad();

    // Get reference to least square vectors
    const extendedLeastSquaresVectors& lsv = extendedLeastSquaresVectors::New
    (
        mesh,
        minDet_
    );

    const surfaceVectorField& ownLs = lsv.pVectors();
    const surfaceVectorField& neiLs = lsv.nVectors();

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

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

        Type deltaVsf = vsf[nei] - vsf[own];

        lsGrad[own] += ownLs[facei]*deltaVsf;
        lsGrad[nei] -= neiLs[facei]*deltaVsf;
    }

    // Boundary faces
    forAll(vsf.boundaryField(), patchi)
    {
        const fvsPatchVectorField& patchOwnLs = ownLs.boundaryField()[patchi];

        const unallocLabelList& faceCells =
            lsGrad.boundaryField()[patchi].patch().faceCells();

        if (vsf.boundaryField()[patchi].coupled())
        {
            Field<Type> neiVsf = 
                vsf.boundaryField()[patchi].patchNeighbourField();

            forAll(neiVsf, patchFaceI)
            {
                lsGrad[faceCells[patchFaceI]] +=
                    patchOwnLs[patchFaceI]
                   *(neiVsf[patchFaceI] - vsf[faceCells[patchFaceI]]);
            }
        }
        else
        {
            const fvPatchField<Type>& patchVsf = vsf.boundaryField()[patchi];

            forAll(patchVsf, patchFaceI)
            {
                lsGrad[faceCells[patchFaceI]] +=
                     patchOwnLs[patchFaceI]
                    *(patchVsf[patchFaceI] - vsf[faceCells[patchFaceI]]);
            }
        }
    }


    const List<labelPair>& additionalCells = lsv.additionalCells();
    const vectorField& additionalVectors = lsv.additionalVectors();

    forAll(additionalCells, i)
    {
        lsGrad[additionalCells[i][0]] +=
            additionalVectors[i]
           *(vsf[additionalCells[i][1]] - vsf[additionalCells[i][0]]);
    }


    lsGrad.correctBoundaryConditions();
    gaussGrad<Type>::correctBoundaryConditions(vsf, lsGrad);

    return tlsGrad;
}


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

} // End namespace fv

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

} // End namespace Foam

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