QUICKV.H

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/*---------------------------------------------------------------------------*\
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  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
   \\    /   O peration     |
    \\  /    A nd           | Copyright (C) 2011 OpenFOAM Foundation
     \\/     M anipulation  |
-------------------------------------------------------------------------------
License
    This file is part of OpenFOAM.

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Class
    Foam::QUICKVLimiter

Description
    Class with limiter function which returns the limiter for the
    quadratic-upwind differencing scheme.

    Note that the weighting factors are not bounded between upwind and
    central-differencing, some downwind contribution is possible although
    the interpolate is limited to be between the upwind and downwind cell
    values.

    Used in conjunction with the template class LimitedScheme.

SourceFiles
    QUICKV.C

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

#ifndef QUICKV_H
#define QUICKV_H

#include "vector.H"

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

namespace Foam
{

/*---------------------------------------------------------------------------*\
                           Class QUICKVLimiter Declaration
\*---------------------------------------------------------------------------*/

template<class LimiterFunc>
class QUICKVLimiter
:
    public LimiterFunc
{

public:

    QUICKVLimiter(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
    {
        vector gradfV = phiN - phiP;

        scalar phiCD = gradfV & (cdWeight*phiP + (1 - cdWeight)*phiN);

        scalar phiU, phif;

        if (faceFlux > 0)
        {
            phiU = gradfV & phiP;
            phif = 0.5*(phiCD + phiU + (1 - cdWeight)*(gradfV & (d & gradcP)));
        }
        else
        {
            phiU = gradfV & phiN;
            phif = 0.5*(phiCD + phiU - cdWeight*(gradfV & (d & gradcN)));
        }

        // Calculate the effective limiter for the QUICK interpolation
        scalar QLimiter = (phif - phiU)/stabilise(phiCD - phiU, SMALL);

        // Limit the limiter between upwind and downwind
        return max(min(QLimiter, 2), 0);
    }
};


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

} // End namespace Foam

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

#endif

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