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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
MathToolbox.hpp
A traits class which provides basic mathematical functions for arbitrary scalar floating point values...
SomertonThermalConductionLawParams.hpp
The default implementation of a parameter object for the Somerton thermal conduction law.
Spline.hpp
Class implementing cubic splines.
Valgrind.hpp
Some templates to wrap the valgrind client request macros.
Opm::SomertonThermalConductionLaw
Implements the Somerton law of thermal conductivity in a porous medium.
Definition SomertonThermalConductionLaw.hpp:64
Opm::SomertonThermalConductionLaw::thermalConductivity
static Evaluation thermalConductivity(const Params &params, const FluidState &fluidState)
Given a fluid state, return the effective thermal conductivity [W/m^2 / (K/m)] of the porous medium.
Definition SomertonThermalConductionLaw.hpp:90
Opm::Spline
Class implementing cubic splines.
Definition Spline.hpp:91
Opm
This class implements a small container which holds the transmissibility mulitpliers for all the face...
Definition Exceptions.hpp:30