LeastSquaresVectors.C

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#include "LeastSquaresVectors.H"

// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //

template<class Stencil>
Foam::fv::LeastSquaresVectors<Stencil>::LeastSquaresVectors
(
    const fvMesh& mesh
)
:
    MeshObject<fvMesh, Foam::MoveableMeshObject, LeastSquaresVectors>(mesh),
    vectors_(mesh.nCells())
{
    calcLeastSquaresVectors();
}


// * * * * * * * * * * * * * * * * Destructor * * * * * * * * * * * * * * * //

template<class Stencil>
Foam::fv::LeastSquaresVectors<Stencil>::~LeastSquaresVectors()
{}


// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //

template<class Stencil>
void Foam::fv::LeastSquaresVectors<Stencil>::calcLeastSquaresVectors()
{
    DebugInFunction << "Calculating least square gradient vectors" << nl;

    const fvMesh& mesh = this->mesh_;
    const extendedCentredCellToCellStencil& stencil = this->stencil();

    stencil.collectData(mesh.C(), vectors_);

    // Create the base form of the dd-tensor
    // including components for the "empty" directions
    const symmTensor dd0(sqr((Vector<label>::one - mesh.geometricD())/2));

    forAll(vectors_, i)
    {
        List<vector>& lsvi = vectors_[i];
        symmTensor dd(dd0);

        // The current cell is 0 in the stencil
        // Calculate the deltas and sum the weighted dd
        for (label j = 1; j < lsvi.size(); ++j)
        {
            lsvi[j] = lsvi[j] - lsvi[0];
            const scalar magSqrLsvi = magSqr(lsvi[j]);
            dd += sqr(lsvi[j])/magSqrLsvi;
            lsvi[j] /= magSqrLsvi;
        }

        // Invert dd
        dd = inv(dd);

        // Remove the components corresponding to the empty directions
        dd -= dd0;

        // Finalize the gradient weighting vectors
        lsvi[0] = Zero;
        for (label j = 1; j < lsvi.size(); ++j)
        {
            lsvi[j] = dd & lsvi[j];
            lsvi[0] -= lsvi[j];
        }
    }

    DebugInfo
        << "Finished calculating least square gradient vectors" << endl;
}


template<class Stencil>
bool Foam::fv::LeastSquaresVectors<Stencil>::movePoints()
{
    calcLeastSquaresVectors();
    return true;
}


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