QUICKV.H

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    Copyright (C) 2011 OpenFOAM Foundation
-------------------------------------------------------------------------------
License
    This file is part of OpenFOAM.
 
    OpenFOAM is free software: you can redistribute it and/or modify it
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    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.
 
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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
 
// ************************************************************************* //