parkervangen3p.hh

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#ifndef PARKERVANGEN_3P_HH
#define PARKERVANGEN_3P_HH
 
#include <algorithm>
 
#include "parkervangen3pparams.hh"
 
namespace Dumux {
 
template <class ScalarT, class ParamsT = ParkerVanGen3PParams<ScalarT> >
class ParkerVanGen3P
{
 
public:
    using Params = ParamsT;
    using Scalar = typename Params::Scalar;
 
    static Scalar pc(const Params &params, const Scalar sw)
    {
        DUNE_THROW(Dune::NotImplemented, "Capillary pressures for three phases is not so simple! Use pcgn, pcnw, and pcgw");
    }
    static Scalar pcgw(const Params &params, const Scalar swe)
    {
        assert(0 <= swe && swe <= 1);
        return pc_(params, swe);
    }
 
    static Scalar pcnw(const Params &params, const Scalar swe)
    {
        assert(0 <= swe && swe <= 1);
        return pc_(params, swe)/params.betaNw();
    }
 
    static Scalar pcgn(const Params &params, const Scalar ste)
    {
        assert(0 <= ste && ste <= 1);
        return pc_(params,ste)/params.betaGn();
    }
 
    static Scalar pcAlpha(const Params &params, Scalar sne)
    {
        Scalar alpha;
 
        /* regularization */
        if (sne<=0.001) sne=0.0;
        if (sne>=1.0) sne=1.0;
 
        if (sne>params.snr())
            alpha = 1.0;
        else
        {
            if (params.snr()>=0.001)
                alpha = sne/params.snr();
            else
                alpha = 0.0;
        }
        return alpha;
    }
 
    static Scalar sw(const Params &params, const Scalar pc)
    {
        DUNE_THROW(Dune::NotImplemented, "sw(pc) for three phases not implemented! Do it yourself!");
    }
 
    static Scalar dpc_dswe(const Params &params, const Scalar swe)
    {
        DUNE_THROW(Dune::NotImplemented, "dpc/dswe for three phases not implemented! Do it yourself!");
    }
 
    static Scalar dpcgw_dswe(const Params &params, const Scalar seRegu)
    {
        using std::pow;
        const Scalar powSeRegu = pow(seRegu, -1/params.vgm());
        return - 1.0/params.vgAlpha() * pow(powSeRegu - 1, 1.0/params.vgn() - 1)/params.vgn()
            * powSeRegu/seRegu/params.vgm()/params.betaGw();
    }
 
    static Scalar dpcnw_dswe(const Params &params, const Scalar seRegu)
    {
        using std::pow;
        const Scalar powSeRegu = pow(seRegu, -1/params.vgm());
        return - 1.0/params.vgAlpha() * pow(powSeRegu - 1, 1.0/params.vgn() - 1)/params.vgn()
            * powSeRegu/seRegu/params.vgm()/params.betaNw();
    }
 
    static Scalar dpcgn_dste(const Params &params, const Scalar seRegu)
    {
        using std::pow;
        const Scalar powSeRegu = pow(seRegu, -1/params.vgm());
        return - 1.0/params.vgAlpha() * pow(powSeRegu - 1, 1.0/params.vgn() - 1)/params.vgn()
            * powSeRegu/seRegu/params.vgm()/params.betaGn();
    }
 
    static Scalar dswe_dpc(const Params &params, const Scalar pc)
    {
        DUNE_THROW(Dune::NotImplemented, "dswe/dpc for three phases not implemented! Do it yourself!");
    }
 
    static Scalar krw(const Params &params,  const Scalar swe)
    {
        using std::pow;
        using std::sqrt;
        const Scalar r = 1.0 - pow(1 - pow(swe, 1/params.vgm()), params.vgm());
        return sqrt(swe)*r*r;
    }
 
    static Scalar krn(const Params &params, const Scalar swe, const Scalar sn, const Scalar ste)
    {
        Scalar krn;
        using std::pow;
        krn = pow(1 - pow(swe, 1/params.vgm()), params.vgm());
        krn -= pow(1 - pow(ste, 1/params.vgm()), params.vgm());
        krn *= krn;
 
        using std::max;
        using std::min;
        using std::sqrt;
        if (params.krRegardsSnr())
        {
            // regard Snr in the permeability of the n-phase, see Helmig1997
            Scalar resIncluded = max(min((sn - params.snr()/ (1-params.swr())), 1.0), 0.0);
            krn *= sqrt(resIncluded );
        }
        else
            krn *= sqrt(sn / (1 - params.swr()));   // Hint: (ste - swe) = sn / (1-Srw)
 
        return krn;
    }
 
    static Scalar krg(const Params &params, const Scalar ste)
    {
        assert(0 <= ste && ste <= 1);
        using std::cbrt;
        using std::pow;
        return cbrt(1 - ste) * pow(1 - pow(ste, 1/params.vgm()), 2*params.vgm());
    }
 
    static Scalar dkrg_dste(const Params &params, Scalar ste)
    {
        assert(0 < ste && ste <= 1);
 
        using std::pow;
        const Scalar x = pow(ste, 1.0/params.vgm());
        return
            -pow(1.0 - x, 2*params.vgm())
            *pow(1.0 - ste, -2.0/3)
            *(1.0/3 + 2*x/ste);
    }
 
    static Scalar kr(const Params &params, const int phaseIdx, const Scalar swe, const Scalar sn, const Scalar ste)
    {
        switch (phaseIdx)
        {
        case 0:
            return krw(params, swe);
        case 1:
            return krn(params, swe, sn, ste);
        case 2:
            return krg(params, ste);
        }
        DUNE_THROW(Dune::InvalidStateException,
                   "Invalid phase index ");
    }
 
   static Scalar bulkDensTimesAdsorpCoeff (const Params &params)
   {
      return params.rhoBulk() * params.KdNAPL();
   }
 
private:
 
    const static Scalar pc_(const Params &params, const Scalar se)
    {
        using std::pow;
        return pow(pow(se, -1/params.vgm()) - 1, 1/params.vgn())/params.vgAlpha();
    }
 
};
} // end namespace Dumux
 
#endif