Moment.C

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/*---------------------------------------------------------------------------*\
  =========                 |
  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
   \\    /   O peration     |
    \\  /    A nd           | Copyright (C) 2013-2017 OpenFOAM Foundation
     \\/     M anipulation  |
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\*---------------------------------------------------------------------------*/

#include "Moment.H"


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

template<class Type>
Foam::AveragingMethods::Moment<Type>::Moment
(
    const IOobject& io,
    const dictionary& dict,
    const fvMesh& mesh
)
:
    AveragingMethod<Type>(io, dict, mesh, labelList(4, mesh.nCells())),
    data_(FieldField<Field, Type>::operator[](0)),
    dataX_(FieldField<Field, Type>::operator[](1)),
    dataY_(FieldField<Field, Type>::operator[](2)),
    dataZ_(FieldField<Field, Type>::operator[](3)),
    transform_(mesh.nCells(), Zero),
    scale_(0.5*pow(mesh.V(), 1.0/3.0))
{
    scalar a = 1.0/24.0;
    scalar b = 0.5854101966249685;
    scalar c = 0.1381966011250105;

    scalarField wQ(4);
    wQ[0] = a;
    wQ[1] = a;
    wQ[2] = a;
    wQ[3] = a;

    vectorField xQ(4);
    xQ[0] = vector(b, c, c);
    xQ[1] = vector(c, b, c);
    xQ[2] = vector(c, c, b);
    xQ[3] = vector(c, c, c);

    forAll(mesh.C(), celli)
    {
        const List<tetIndices> cellTets =
            polyMeshTetDecomposition::cellTetIndices(mesh, celli);

        symmTensor A(Zero);

        forAll(cellTets, tetI)
        {
            const tetIndices& tetIs = cellTets[tetI];
            const triFace triIs = tetIs.faceTriIs(mesh);

            const tensor T
            (
                tensor
                (
                    mesh.points()[triIs[0]] - mesh.C()[celli],
                    mesh.points()[triIs[1]] - mesh.C()[celli],
                    mesh.points()[triIs[2]] - mesh.C()[celli]
                ).T()
            );

            const vectorField d((T & xQ)/scale_[celli]);

            const scalar v(6.0*tetIs.tet(mesh).mag()/mesh.V()[celli]);

            A += v*sum(wQ*sqr(d));
        }

        transform_[celli] = inv(A);
    }
}


template<class Type>
Foam::AveragingMethods::Moment<Type>::Moment
(
    const Moment<Type>& am
)
:
    AveragingMethod<Type>(am),
    data_(FieldField<Field, Type>::operator[](0)),
    dataX_(FieldField<Field, Type>::operator[](1)),
    dataY_(FieldField<Field, Type>::operator[](2)),
    dataZ_(FieldField<Field, Type>::operator[](3)),
    transform_(am.transform_)
{}


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

template<class Type>
Foam::AveragingMethods::Moment<Type>::~Moment()
{}


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

template<class Type>
void Foam::AveragingMethods::Moment<Type>::updateGrad()
{}


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

template<class Type>
void Foam::AveragingMethods::Moment<Type>::add
(
    const barycentric& coordinates,
    const tetIndices& tetIs,
    const Type& value
)
{
    const label celli = tetIs.cell();
    const triFace triIs = tetIs.faceTriIs(this->mesh_);

    const point delta =
        (coordinates[0] - 1)*this->mesh_.C()[celli]
      + coordinates[1]*this->mesh_.points()[triIs[0]]
      + coordinates[2]*this->mesh_.points()[triIs[1]]
      + coordinates[3]*this->mesh_.points()[triIs[2]];

    const Type v = value/this->mesh_.V()[celli];
    const TypeGrad dv = transform_[celli] & (v*delta/scale_[celli]);

    data_[celli] += v;
    dataX_[celli] += v + dv.x();
    dataY_[celli] += v + dv.y();
    dataZ_[celli] += v + dv.z();
}


template<class Type>
Type Foam::AveragingMethods::Moment<Type>::interpolate
(
    const barycentric& coordinates,
    const tetIndices& tetIs
) const
{
    const label celli = tetIs.cell();
    const triFace triIs = tetIs.faceTriIs(this->mesh_);

    const point delta =
        (coordinates[0] - 1)*this->mesh_.C()[celli]
      + coordinates[1]*this->mesh_.points()[triIs[0]]
      + coordinates[2]*this->mesh_.points()[triIs[1]]
      + coordinates[3]*this->mesh_.points()[triIs[2]];

    return
        data_[celli]
      + (
            TypeGrad
            (
                dataX_[celli] - data_[celli],
                dataY_[celli] - data_[celli],
                dataZ_[celli] - data_[celli]
            )
          & delta/scale_[celli]
        );
}


template<class Type>
typename Foam::AveragingMethods::Moment<Type>::TypeGrad
Foam::AveragingMethods::Moment<Type>::interpolateGrad
(
    const barycentric& coordinates,
    const tetIndices& tetIs
) const
{
    const label celli(tetIs.cell());

    return
        TypeGrad
        (
            dataX_[celli] - data_[celli],
            dataY_[celli] - data_[celli],
            dataZ_[celli] - data_[celli]
        )/scale_[celli];
}


template<class Type>
Foam::tmp<Foam::Field<Type>>
Foam::AveragingMethods::Moment<Type>::primitiveField() const
{
    return tmp<Field<Type>>(data_);
}


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