diffusivitymillingtonquirk.hh

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#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,pm = phi * Sw * 1/phi^2 * (phi * Sw)^(7/3) * D
        // we calculate the more efficient
        // D_eff,pm = phi * Sw^3 * cubicroot(phi * Sw) * 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;
    }
 
};
}
#endif