cubic.H

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-------------------------------------------------------------------------------
License
    This file is part of OpenFOAM.

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    the Free Software Foundation, either version 3 of the License, or
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    You should have received a copy of the GNU General Public License
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Class
    Foam::cubic

Description
    Cubic interpolation scheme class derived from linear and returns
    linear weighting factors but also applies an explicit correction.

SourceFiles
    cubic.C

\*---------------------------------------------------------------------------*/

#ifndef cubic_H
#define cubic_H

#include "linear.H"
#include "gaussGrad.H"

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

namespace Foam
{

/*---------------------------------------------------------------------------*\
                            Class cubic Declaration
\*---------------------------------------------------------------------------*/

template<class Type>
class cubic
:
    public linear<Type>
{

public:

    //- Runtime type information
    TypeName("cubic");


    // Constructors

        //- Construct from mesh
        cubic(const fvMesh& mesh)
        :
            linear<Type>(mesh)
        {}

        //- Construct from mesh and Istream
        cubic
        (
            const fvMesh& mesh,
            Istream&
        )
        :
            linear<Type>(mesh)
        {}

        //- Construct from mesh, faceFlux and Istream
        cubic
        (
            const fvMesh& mesh,
            const surfaceScalarField&,
            Istream&
        )
        :
            linear<Type>(mesh)
        {}

        //- Disallow default bitwise copy construction
        cubic(const cubic&) = delete;


    // Member Functions

        //- Return true if this scheme uses an explicit correction
        virtual bool corrected() const
        {
            return true;
        }

        //- Return the explicit correction to the face-interpolate
        virtual tmp<GeometricField<Type, fvsPatchField, surfaceMesh>>
        correction
        (
            const GeometricField<Type, fvPatchField, volMesh>& vf
        ) const
        {
            const fvMesh& mesh = this->mesh();

            // calculate the appropriate interpolation factors
            const surfaceScalarField& lambda = mesh.weights();

            const surfaceScalarField kSc
            (
                lambda*(scalar(1) - lambda*(scalar(3) - scalar(2)*lambda))
            );

            const surfaceScalarField kVecP(sqr(scalar(1) - lambda)*lambda);
            const surfaceScalarField kVecN(sqr(lambda)*(lambda - scalar(1)));

            tmp<GeometricField<Type, fvsPatchField, surfaceMesh>> tsfCorr
            (
                GeometricField<Type, fvsPatchField, surfaceMesh>::New
                (
                    "cubic::correction(" + vf.name() +')',
                    surfaceInterpolationScheme<Type>::interpolate(vf, kSc, -kSc)
                )
            );
            GeometricField<Type, fvsPatchField, surfaceMesh>& sfCorr =
                tsfCorr.ref();

            for (direction cmpt=0; cmpt<pTraits<Type>::nComponents; cmpt++)
            {
                sfCorr.replace
                (
                    cmpt,
                    sfCorr.component(cmpt)
                  + (
                        surfaceInterpolationScheme
                        <
                            typename outerProduct
                            <
                                vector,
                                typename pTraits<Type>::cmptType
                            >::type
                        >::interpolate
                        (
                            fv::gaussGrad
                            <typename pTraits<Type>::cmptType>(mesh)
                           .grad(vf.component(cmpt)),
                            kVecP,
                            kVecN
                        ) & mesh.Sf()
                    )/mesh.magSf()/mesh.surfaceInterpolation::deltaCoeffs()
                );
            }

            typename GeometricField<Type, fvsPatchField, surfaceMesh>::
                Boundary& sfCorrbf = sfCorr.boundaryFieldRef();

            forAll(sfCorrbf, pi)
            {
                if (!sfCorrbf[pi].coupled())
                {
                    sfCorrbf[pi] = Zero;
                }
            }

            return tsfCorr;
        }


    // Member Operators

        //- Disallow default bitwise assignment
        void operator=(const cubic&) = delete;
};


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

} // End namespace Foam

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

#endif

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