filteredLinear.H

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Class
    Foam::filteredLinearLimiter

Description
    Class to generate weighting factors for the filteredLinear
    differencing scheme.

    The aim is to remove high-frequency modes with "staggering"
    characteristics by comparing the face gradient relative to the
    background distribution represented by the neighbouring cell gradients
    with those gradients and introduce small amounts of upwind in order to
    damp these modes.

    Used in conjunction with the template class LimitedScheme.

SourceFiles
    filteredLinear.C

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

#ifndef filteredLinear_H
#define filteredLinear_H

#include "vector.H"

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

namespace Foam
{

/*---------------------------------------------------------------------------*\
                           Class filteredLinearWeight Declaration
\*---------------------------------------------------------------------------*/

template<class LimiterFunc>
class filteredLinearLimiter
:
    public LimiterFunc
{

public:

    filteredLinearLimiter(Istream&)
    {}

    scalar limiter
    (
        const scalar cdWeight,
        const scalar faceFlux,
        const typename LimiterFunc::phiType& phiP,
        const typename LimiterFunc::phiType& phiN,
        const typename LimiterFunc::gradPhiType& gradcP,
        const typename LimiterFunc::gradPhiType& gradcN,
        const vector& d
    ) const
    {
        scalar df = phiN - phiP;

        scalar dcP = d & gradcP;
        scalar dcN = d & gradcN;

        scalar limiter =
            2
          - 0.5*min(mag(df - dcP), mag(df - dcN))
           /(max(mag(dcP), mag(dcN)) + small);

        // Limit the limiter between linear and 20% upwind
        return max(min(limiter, 1), 0.8);
    }
};


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

} // End namespace Foam

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

#endif

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