diffusivitymillingtonquirk.hh

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// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
// vi: set et ts=4 sw=4 sts=4:
//
// SPDX-FileCopyrightInfo: Copyright © DuMux Project contributors, see AUTHORS.md in root folder
// SPDX-License-Identifier: GPL-3.0-or-later
//
#ifndef DUMUX_MATERIAL_DIFFUSIVITY_MILLINGTON_QUIRK_HH
#define DUMUX_MATERIAL_DIFFUSIVITY_MILLINGTON_QUIRK_HH
 
#include <cmath>
#include <algorithm>
 
namespace Dumux {
 
template<class Scalar>
class DiffusivityMillingtonQuirk
{
public:
    template<class VolumeVariables>
    static Scalar effectiveDiffusionCoefficient(const VolumeVariables& volVars,
                                                const int phaseIdx,
                                                const int compIdxI,
                                                const int compIdxJ)
    {
        // instead of D_eff = phi S tau D = phi S 1/phi^2 (phi S)^(7/3) D
        // we implement more efficiently D_eff = phi S^3 cubicroot(phi S) D
        using std::cbrt;
        using std::max;
        const Scalar diffCoeff = volVars.diffusionCoefficient(phaseIdx, compIdxI, compIdxJ);
        const Scalar porosity = volVars.porosity();
        const Scalar sat = max<Scalar>(volVars.saturation(phaseIdx), 0.0);
        return porosity * (sat*sat*sat) * cbrt(porosity * sat) * diffCoeff;
    }
};
 
} // end namespace Dumux
 
#endif