brookscorey.hh

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#ifndef DUMUX_BROOKS_COREY_HH
#define DUMUX_BROOKS_COREY_HH
 
#include "brookscoreyparams.hh"
 
#include <algorithm>
#include <cmath>
 
namespace Dumux {
 
template <class ScalarT, class ParamsT = BrooksCoreyParams<ScalarT> >
class BrooksCorey
{
public:
    using Params = ParamsT;
    using Scalar = typename Params::Scalar;
 
    static Scalar pc(const Params &params, Scalar swe)
    {
        using std::pow;
        using std::min;
        using std::max;
 
        swe = min(max(swe, 0.0), 1.0); // the equation below is only defined for 0.0 <= sw <= 1.0
 
        return params.pe()*pow(swe, -1.0/params.lambda());
    }
 
    static Scalar sw(const Params &params, Scalar pc)
    {
        using std::pow;
        using std::max;
 
        pc = max(pc, 0.0); // the equation below is undefined for negative pcs
 
        return pow(pc/params.pe(), -params.lambda());
    }
 
    static Scalar endPointPc(const Params &params)
    { return params.pe(); }
 
    static Scalar dpc_dswe(const Params &params, Scalar swe)
    {
        using std::pow;
        using std::min;
        using std::max;
 
        swe = min(max(swe, 0.0), 1.0); // the equation below is only defined for 0.0 <= sw <= 1.0
 
        return - params.pe()/params.lambda() * pow(swe, -1/params.lambda() - 1);
    }
 
    static Scalar dswe_dpc(const Params &params, Scalar pc)
    {
        using std::pow;
        using std::max;
 
        pc = max(pc, 0.0); // the equation below is undefined for negative pcs
 
        return -params.lambda()/params.pe() * pow(pc/params.pe(), - params.lambda() - 1);
    }
 
    static Scalar krw(const Params &params, Scalar swe)
    {
        using std::pow;
        using std::min;
        using std::max;
 
        swe = min(max(swe, 0.0), 1.0); // the equation below is only defined for 0.0 <= sw <= 1.0
 
        return pow(swe, 2.0/params.lambda() + 3);
    }
 
    static Scalar dkrw_dswe(const Params &params, Scalar swe)
    {
        using std::pow;
        using std::min;
        using std::max;
 
        swe = min(max(swe, 0.0), 1.0); // the equation below is only defined for 0.0 <= sw <= 1.0
 
        return (2.0/params.lambda() + 3)*pow(swe, 2.0/params.lambda() + 2);
    }
 
    static Scalar krn(const Params &params, Scalar swe)
    {
        using std::pow;
        using std::min;
        using std::max;
 
        swe = min(max(swe, 0.0), 1.0); // the equation below is only defined for 0.0 <= sw <= 1.0
 
        const Scalar exponent = 2.0/params.lambda() + 1;
        const Scalar tmp = 1.0 - swe;
        return tmp*tmp*(1.0 - pow(swe, exponent));
    }
 
    static Scalar dkrn_dswe(const Params &params, Scalar swe)
    {
        using std::pow;
        using std::min;
        using std::max;
 
        swe = min(max(swe, 0.0), 1.0); // the equation below is only defined for 0.0 <= sw <= 1.0
 
        return 2.0*(swe - 1)*(1 + pow(swe, 2.0/params.lambda())*(1.0/params.lambda() + 1.0/2
                                                                 - swe*(1.0/params.lambda() + 1.0/2)
                                                                )
                             );
    }
 
};
 
} // end namespace Dumux
 
#endif // BROOKS_COREY_HH