SomertonThermalConductionLaw.hpp

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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:
/*
  This file is part of the Open Porous Media project (OPM).
 
  OPM is free software: you can redistribute it and/or modify
  it under the terms of the GNU General Public License as published by
  the Free Software Foundation, either version 2 of the License, or
  (at your option) any later version.
 
  OPM is distributed in the hope that it will be useful,
  but WITHOUT ANY WARRANTY; without even the implied warranty of
  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  GNU General Public License for more details.
 
  You should have received a copy of the GNU General Public License
  along with OPM.  If not, see <http://www.gnu.org/licenses/>.
 
  Consult the COPYING file in the top-level source directory of this
  module for the precise wording of the license and the list of
  copyright holders.
*/
#ifndef OPM_SOMERTON_THERMAL_CONDUCTION_LAW_HPP
#define OPM_SOMERTON_THERMAL_CONDUCTION_LAW_HPP
 
#include "SomertonThermalConductionLawParams.hpp"
 
#include <opm/material/common/Spline.hpp>
 
#include <opm/material/common/Valgrind.hpp>
#include <opm/material/common/MathToolbox.hpp>
 
#include <algorithm>
 
namespace Opm {
 
template <class FluidSystem,
          class ScalarT,
          class ParamsT = SomertonThermalConductionLawParams<FluidSystem::numPhases, ScalarT> >
class SomertonThermalConductionLaw
{
    enum { numPhases = FluidSystem::numPhases };
 
public:
    typedef ParamsT Params;
    typedef typename Params::Scalar Scalar;
 
    template <class FluidState, class Evaluation = typename FluidState::Scalar>
    static Evaluation thermalConductivity(const Params& params,
                                       const FluidState& fluidState)
    {
        Valgrind::CheckDefined(params.vacuumLambda());
 
        Evaluation lambda = 0;
        for (unsigned phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) {
            Valgrind::CheckDefined(params.fullySaturatedLambda(phaseIdx));
 
            if (FluidSystem::isLiquid(phaseIdx)) {
                const auto& sat = decay<Evaluation>(fluidState.saturation(phaseIdx));
                lambda +=
                    regularizedSqrt_(max(0.0, min(1.0, sat)))
                    * (params.fullySaturatedLambda(phaseIdx) - params.vacuumLambda());
            }
            else { // gas phase
                lambda += params.fullySaturatedLambda(phaseIdx) - params.vacuumLambda();
            }
        };
 
        lambda += params.vacuumLambda();
        assert(lambda >= 0);
        return lambda;
    }
 
protected:
    template <class Evaluation>
    static Evaluation regularizedSqrt_(const Evaluation& x)
    {
        typedef Spline<Scalar> Spline;
 
        static const Scalar xMin = 1e-2;
        static const Scalar sqrtXMin = std::sqrt(xMin);
        static const Scalar fPrimeXMin = 1.0/(2*std::sqrt(xMin));
        static const Scalar fPrime0 = 2*fPrimeXMin;
        static const Spline sqrtRegSpline(0, xMin, // x0, x1
                                          0, sqrtXMin, // y0, y1
                                          fPrime0, fPrimeXMin); // m0, m1
 
        if (x > xMin)
            return sqrt(x);
        else if (x <= 0)
            return fPrime0 * x;
        else
            return sqrtRegSpline.eval(x);
    }
};
} // namespace Opm
 
#endif