Common.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_IAPWS_COMMON_HPP
#define OPM_IAPWS_COMMON_HPP
 
#include <opm/material/Constants.hpp>
#include <opm/material/common/MathToolbox.hpp>
 
#include <cmath>
 
namespace Opm {
namespace IAPWS {
 
template <class Scalar>
class Common
{
public:
    static const Scalar molarMass;
 
    static const Scalar Rs;
 
    static const Scalar criticalTemperature;
 
    static const Scalar criticalPressure;
 
    static const Scalar criticalDensity;
 
    static const Scalar criticalVolume;
 
    static const Scalar criticalMolarVolume;
 
    static const Scalar acentricFactor;
 
    static const Scalar tripleTemperature;
 
    static const Scalar triplePressure;
 
    template <class Evaluation>
    static Evaluation viscosity(const Evaluation& temperature, const Evaluation& rho)
    {
        Evaluation rhoBar = rho/322.0;
        Evaluation TBar = temperature/criticalTemperature;
 
        // muBar = muBar_1
        const Scalar Hij[6][7] = {
            { 5.20094e-1, 2.22531e-1,-2.81378e-1, 1.61913e-1,-3.25372e-2, 0, 0 },
            { 8.50895e-2, 9.99115e-1,-9.06851e-1, 2.57399e-1, 0, 0, 0 },
            { -1.08374, 1.88797 ,-7.72479e-1, 0, 0, 0, 0 },
            { -2.89555e-1, 1.26613 ,-4.89837e-1, 0, 6.98452e-2, 0,-4.35673e-3 },
            { 0, 0,-2.57040e-1, 0, 0, 8.72102e-3, 0 },
            { 0, 1.20573e-1, 0, 0, 0, 0,-5.93264e-4 }
        };
 
        Evaluation tmp, tmp2, tmp3 = 1;
        Evaluation muBar = 0;
        for (int i = 0; i <= 5; ++i) {
            tmp = 0;
            tmp2 = 1;
            for (int j = 0; j <= 6; ++j) {
                tmp += Hij[i][j]*tmp2;
                tmp2 *= (rhoBar - 1);
            };
            muBar += tmp3 * tmp;
            tmp3 *= 1.0/TBar - 1;
        };
        muBar *= rhoBar;
        muBar = exp(muBar);
 
        // muBar *= muBar_0
        muBar  *= 100*sqrt(TBar);
        const Scalar H[4] = {
            1.67752, 2.20462, 0.6366564, -0.241605
        };
 
        tmp = 0, tmp2 = 1;
        for (int i = 0; i < 4; ++i) {
            tmp += H[i]/tmp2;
            tmp2 *= TBar;
        };
        muBar /= tmp;
 
        return 1e-6*muBar;
    }
 
    template <class Evaluation>
    static Evaluation thermalConductivityIAPWS(const Evaluation& T, const Evaluation& rho)
    {
        static const Scalar thcond_tstar = 647.26 ;
        static const Scalar thcond_rhostar = 317.7 ;
        /*static const Scalar thcond_kstar = 1.0 ;*/
 
        static const Scalar thcond_b0 = -0.397070 ;
        static const Scalar thcond_b1 = 0.400302 ;
        static const Scalar thcond_b2 = 1.060000 ;
        static const Scalar thcond_B1 = -0.171587 ;
        static const Scalar thcond_B2 = 2.392190 ;
 
        static const Scalar thcond_c1 = 0.642857 ;
        static const Scalar thcond_c2 = -4.11717 ;
        static const Scalar thcond_c3 = -6.17937 ;
        static const Scalar thcond_c4 = 0.00308976 ;
        static const Scalar thcond_c5 = 0.0822994 ;
        static const Scalar thcond_c6 = 10.0932 ;
 
        static const Scalar thcond_d1 = 0.0701309 ;
        static const Scalar thcond_d2 = 0.0118520 ;
        static const Scalar thcond_d3 = 0.00169937 ;
        static const Scalar thcond_d4 = -1.0200 ;
        static const int thcond_a_count = 4;
        static const Scalar thcond_a[thcond_a_count] = {
            0.0102811
            ,0.0299621
            ,0.0156146
            ,-0.00422464
        };
 
        Evaluation Tbar = T / thcond_tstar;
        Evaluation rhobar = rho / thcond_rhostar;
 
        /* fast implementation... minimised calls to 'pow' routine... */
        Evaluation Troot = sqrt(Tbar);
        Evaluation Tpow = Troot;
        Evaluation lam = 0;
 
        for(int k = 0; k < thcond_a_count; ++k) {
            lam += thcond_a[k] * Tpow;
            Tpow *= Tbar;
        }
 
        lam +=
            thcond_b0 + thcond_b1
            * rhobar + thcond_b2
            * exp(thcond_B1 * ((rhobar + thcond_B2)*(rhobar + thcond_B2)));
 
        Evaluation DTbar = abs(Tbar - 1) + thcond_c4;
        Evaluation DTbarpow = pow(DTbar, 3./5);
        Evaluation Q = 2. + thcond_c5 / DTbarpow;
 
        Evaluation S;
        if(Tbar >= 1)
            S = 1. / DTbar;
        else
            S = thcond_c6 / DTbarpow;
 
        Evaluation rhobar18 = pow(rhobar, 1.8);
        Evaluation rhobarQ = pow(rhobar, Q);
 
        lam +=
            (thcond_d1 / pow(Tbar,10.0) + thcond_d2) * rhobar18 *
            exp(thcond_c1 * (1 - rhobar * rhobar18))
            + thcond_d3 * S * rhobarQ *
            exp((Q/(1+Q))*(1 - rhobar*rhobarQ))
            + thcond_d4 *
            exp(thcond_c2 * pow(Troot,3.0) + thcond_c3 / pow(rhobar,5.0));
        return /*thcond_kstar * */ lam;
    }
};
 
template <class Scalar>
const Scalar Common<Scalar>::molarMass = 18.01518e-3;
template <class Scalar>
const Scalar Common<Scalar>::Rs = Constants<Scalar>::R/molarMass;
template <class Scalar>
const Scalar Common<Scalar>::criticalTemperature = 647.096;
template <class Scalar>
const Scalar Common<Scalar>::criticalPressure = 22.064e6;
template <class Scalar>
const Scalar Common<Scalar>::criticalDensity = 322.0;
template <class Scalar>
const Scalar Common<Scalar>::criticalMolarVolume = molarMass/criticalDensity;
template <class Scalar>
const Scalar Common<Scalar>::criticalVolume = 5.595e-2;
template <class Scalar>
const Scalar Common<Scalar>::acentricFactor = 0.344;
template <class Scalar>
const Scalar Common<Scalar>::tripleTemperature = 273.16;
template <class Scalar>
const Scalar Common<Scalar>::triplePressure = 611.657;
 
} // namespace IAPWS
} // namespace Opm
 
#endif