3.2-git
DUNE for Multi-{Phase, Component, Scale, Physics, ...} flow and transport in porous media
diffusivitymillingtonquirk.hh
Go to the documentation of this file.
1// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
2// vi: set et ts=4 sw=4 sts=4:
3/*****************************************************************************
4 * See the file COPYING for full copying permissions. *
5 * *
6 * This program is free software: you can redistribute it and/or modify *
7 * it under the terms of the GNU General Public License as published by *
8 * the Free Software Foundation, either version 3 of the License, or *
9 * (at your option) any later version. *
10 * *
11 * This program is distributed in the hope that it will be useful, *
12 * but WITHOUT ANY WARRANTY; without even the implied warranty of *
13 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
14 * GNU General Public License for more details. *
15 * *
16 * You should have received a copy of the GNU General Public License *
17 * along with this program. If not, see <http://www.gnu.org/licenses/>. *
18 *****************************************************************************/
24#ifndef DUMUX_MATERIAL_DIFFUSIVITY_MILLINGTON_QUIRK_HH
25#define DUMUX_MATERIAL_DIFFUSIVITY_MILLINGTON_QUIRK_HH
26
27#include <cmath>
28
29namespace Dumux {
30
49template<class Scalar>
51{
52public:
60 [[deprecated("Signature deprecated. Use effectiveDiffusionCoefficient(volvars, phaseIdx, comp1dxI, compIdxJ)!")]]
61 static Scalar effectiveDiffusivity(const Scalar porosity,
62 const Scalar saturation,
63 const Scalar diffCoeff)
64 {
65 // instead of D_eff,pm = phi * Sw * 1/phi^2 * (phi * Sw)^(7/3) * D
66 // we calculate the more efficient
67 // D_eff,pm = phi * Sw^3 * cubicroot(phi * Sw) * D
68
69 using std::cbrt;
70 return porosity * (saturation*saturation*saturation) * cbrt(porosity * saturation) * diffCoeff;
71 }
72
81 template<class VolumeVariables>
82 static Scalar effectiveDiffusionCoefficient(const VolumeVariables& volVars,
83 const int phaseIdx,
84 const int compIdxI,
85 const int compIdxJ)
86 {
87 // instead of D_eff,pm = phi * Sw * 1/phi^2 * (phi * Sw)^(7/3) * D
88 // we calculate the more efficient
89 // D_eff,pm = phi * Sw^3 * cubicroot(phi * Sw) * D
90
91 using std::cbrt;
92 using std::max;
93 const Scalar diffCoeff = volVars.diffusionCoefficient(phaseIdx, compIdxI, compIdxJ);
94 const Scalar porosity = volVars.porosity();
95 const Scalar sat = max(volVars.saturation(phaseIdx), 0.0);
96 return porosity * (sat*sat*sat) * cbrt(porosity * sat) * diffCoeff;
97 }
98
99};
100}
101#endif
Definition: adapt.hh:29
std::string saturation(int phaseIdx) noexcept
I/O name of saturation for multiphase systems.
Definition: name.hh:43
std::string porosity() noexcept
I/O name of porosity.
Definition: name.hh:139
Relation for the saturation-dependent effective diffusion coefficient.
Definition: diffusivitymillingtonquirk.hh:51
static Scalar effectiveDiffusivity(const Scalar porosity, const Scalar saturation, const Scalar diffCoeff)
Returns the effective diffusion coefficient after Millington Quirk.
Definition: diffusivitymillingtonquirk.hh:61
static Scalar effectiveDiffusionCoefficient(const VolumeVariables &volVars, const int phaseIdx, const int compIdxI, const int compIdxJ)
Returns the effective diffusion coefficient after Millington Quirk.
Definition: diffusivitymillingtonquirk.hh:82