fluxlimiterlet.hh

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#ifndef DUMUX_FLUX_SHALLOW_WATER_FLUX_LIMITER_LET_HH
#define DUMUX_FLUX_SHALLOW_WATER_FLUX_LIMITER_LET_HH
 
#include <algorithm>
#include <cmath>
 
namespace Dumux {
namespace ShallowWater {

template<class Scalar>
static Scalar fluxLimiterLET(const Scalar valueLeft,
                             const Scalar valueRight,
                             const Scalar upperH,
                             const Scalar lowerH)
{
    using std::pow;
    using std::min;
    using std::max;
 
    const auto h = (valueLeft + valueRight)*0.5;
 
    Scalar mobility = 1.0;
    if (h < upperH)
    {
        const auto sw = max(min(h*(1.0/upperH) - lowerH, 1.0), 0.0);
 
        // LET-model for mobility
        // constexpr Scalar krw = 1.0;
        // constexpr Scalar letL = 2.0;
        // constexpr Scalar letT = 2.0;
        // constexpr Scalar letE = 1.0;
        // mobility = (krw * pow(sw, letL))/(pow(sw, letL) + letE * pow(1.0 - sw, letT));
 
        mobility = (sw*sw)/(sw*sw + (1-sw)*(1-sw));
    }
 
    return mobility;
}
 
} // end namespace ShallowWater
} // end namespace Dumux
 
#endif