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| 1 | +/* |
| 2 | + Copyright (C) 2011 - 2025 by the authors of the ASPECT code. |
| 3 | +
|
| 4 | + This file is part of ASPECT. |
| 5 | +
|
| 6 | + ASPECT 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 2, or (at your option) |
| 9 | + any later version. |
| 10 | +
|
| 11 | + ASPECT 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 ASPECT; see the file LICENSE. If not see |
| 18 | + <http://www.gnu.org/licenses/>. |
| 19 | +*/ |
| 20 | + |
| 21 | +#ifndef _aspect_cookbooks_phase_transition_kinetics_phase_transition_kinetics_h |
| 22 | +#define _aspect_cookbooks_phase_transition_kinetics_phase_transition_kinetics_h |
| 23 | + |
| 24 | +#include <deal.II/base/patterns.h> |
| 25 | +#include <deal.II/base/types.h> |
| 26 | + |
| 27 | +#include <aspect/adiabatic_conditions/interface.h> |
| 28 | +#include <aspect/geometry_model/interface.h> |
| 29 | +#include <aspect/material_model/equation_of_state/interface.h> |
| 30 | +#include <aspect/material_model/interface.h> |
| 31 | +#include <aspect/simulator_access.h> |
| 32 | +#include <aspect/utilities.h> |
| 33 | + |
| 34 | +#include <vector> |
| 35 | + |
| 36 | +namespace aspect |
| 37 | +{ |
| 38 | + namespace MaterialModel |
| 39 | + { |
| 40 | + /** |
| 41 | + * A material model that reads in thermodynamic data from an ascii .txt file. |
| 42 | + * The thermodynamic data are evaluated along an adiabatic reference profile and |
| 43 | + * used to compute a reaction rate between two phases (or fixed mineral assemblages) |
| 44 | + * using the operator splitting technique. Average material properties are computed from |
| 45 | + * the mass fractions of the reacting phases. The model is considered compressible. |
| 46 | + * |
| 47 | + * The viscosity is computed as |
| 48 | + * \f[ |
| 49 | + * \eta(z,T) = \eta_r(z) \eta_0 \exp\left(-A \frac{T - \bar{T}}{\bar{T}}\right)." |
| 50 | + * \f] |
| 51 | + * |
| 52 | + * where $\eta_r(z)$ is a depth-dependent viscosity prefactor, $\eta_0$ is the |
| 53 | + * reference viscosity, $A$ is the thermal viscosity exponent, $T$ is the full |
| 54 | + * temperature, and $\bar{T}$ is the reference adiabatic temperature. |
| 55 | + * |
| 56 | + * @ingroup MaterialModels |
| 57 | + */ |
| 58 | + |
| 59 | + template <int dim> |
| 60 | + class PhaseTransitionKinetics : public MaterialModel::Interface<dim>, public ::aspect::SimulatorAccess<dim> |
| 61 | + { |
| 62 | + public: |
| 63 | + /** |
| 64 | + * Constructor. Initialize variables. |
| 65 | + */ |
| 66 | + PhaseTransitionKinetics(); |
| 67 | + |
| 68 | + /** |
| 69 | + * Initialization function. This function is called once at the |
| 70 | + * beginning of the program after parse_parameters is run and after |
| 71 | + * the SimulatorAccess (if applicable) is initialized. |
| 72 | + */ |
| 73 | + void |
| 74 | + initialize() override; |
| 75 | + |
| 76 | + /** |
| 77 | + * @name Qualitative properties one can ask a material model |
| 78 | + * @{ |
| 79 | + */ |
| 80 | + |
| 81 | + /** |
| 82 | + * Return whether the model is compressible or not. |
| 83 | + */ |
| 84 | + bool |
| 85 | + is_compressible() const override; |
| 86 | + |
| 87 | + /** |
| 88 | + * @} |
| 89 | + */ |
| 90 | + |
| 91 | + /** |
| 92 | + * Evaluate material properties. |
| 93 | + */ |
| 94 | + void |
| 95 | + evaluate(const MaterialModel::MaterialModelInputs<dim> &in, MaterialModel::MaterialModelOutputs<dim> &out) const override; |
| 96 | + |
| 97 | + /** |
| 98 | + * @name Functions used in dealing with run-time parameters |
| 99 | + * @{ |
| 100 | + */ |
| 101 | + |
| 102 | + /** |
| 103 | + * Declare the parameters this class takes through input files. |
| 104 | + */ |
| 105 | + static void |
| 106 | + declare_parameters(ParameterHandler &prm); |
| 107 | + |
| 108 | + /** |
| 109 | + * Read the parameters this class declares from the parameter file. |
| 110 | + */ |
| 111 | + void |
| 112 | + parse_parameters(ParameterHandler &prm) override; |
| 113 | + |
| 114 | + /** |
| 115 | + * @} |
| 116 | + */ |
| 117 | + |
| 118 | + /** |
| 119 | + * Add the named outputs for reaction rates. |
| 120 | + */ |
| 121 | + void |
| 122 | + create_additional_named_outputs(MaterialModel::MaterialModelOutputs<dim> &out) const override; |
| 123 | + |
| 124 | + private: |
| 125 | + /** |
| 126 | + * Object that stores the thermodynamic data used for computing the equation |
| 127 | + * of state and phase reaction. The thermodynamic data are evaluated along a |
| 128 | + * reference adiabatic profile. |
| 129 | + * |
| 130 | + * Data is read from a tab-separated .txt file with the following required columns: |
| 131 | + * |
| 132 | + * pressure density_a density_b thermal_expansivity_a thermal_expansivity_b |
| 133 | + * specific_heat_a specific_heat_b compressibility_a compressibility_b |
| 134 | + * delta_molar_gibbs delta_molar_entropy delta_molar_volume |
| 135 | + * |
| 136 | + * Note: "a" and "b" represent phases "a" and "b". |
| 137 | + */ |
| 138 | + Utilities::AsciiDataProfile<dim> profile; |
| 139 | + |
| 140 | + /** |
| 141 | + * Column indices from the thermodynamic data along an adiabatic profile. |
| 142 | + * The pressure column is used for searching the table via interpolation. |
| 143 | + * All other columns store thermodynamic data required for calculating |
| 144 | + * the thermodynamic driving force in the PhaseTransitionKinetics material model. |
| 145 | + * |
| 146 | + * Note: "a" and "b" represent phases "a" and "b" and "dG", "dS", "dV" |
| 147 | + * represent the differences in the molar Gibbs free energy, molar entropy, |
| 148 | + * and molar volume of phases "a" and "b". For example, $\text{dG}$ = |
| 149 | + * $\text{G}_b$ - $\text{G}_a$ |
| 150 | + */ |
| 151 | + unsigned int rho_a_idx; |
| 152 | + unsigned int rho_b_idx; |
| 153 | + unsigned int alpha_a_idx; |
| 154 | + unsigned int alpha_b_idx; |
| 155 | + unsigned int beta_a_idx; |
| 156 | + unsigned int beta_b_idx; |
| 157 | + unsigned int cp_a_idx; |
| 158 | + unsigned int cp_b_idx; |
| 159 | + unsigned int dG_idx; |
| 160 | + unsigned int dS_idx; |
| 161 | + unsigned int dV_idx; |
| 162 | + |
| 163 | + /** |
| 164 | + * The reference viscosity. |
| 165 | + * |
| 166 | + * Units: Pa s |
| 167 | + */ |
| 168 | + double viscosity; |
| 169 | + |
| 170 | + /** |
| 171 | + * The minimum viscosity. |
| 172 | + * |
| 173 | + * Units: Pa s |
| 174 | + */ |
| 175 | + double minimum_viscosity; |
| 176 | + |
| 177 | + /** |
| 178 | + * The maximum viscosity. |
| 179 | + * |
| 180 | + * Units: Pa s |
| 181 | + */ |
| 182 | + |
| 183 | + double maximum_viscosity; |
| 184 | + |
| 185 | + /** |
| 186 | + * The constant $A$ in the temperature dependence of viscosity |
| 187 | + * $\exp\left(-A \frac{T - \bar{T}}{\bar{T}}\right).$ |
| 188 | + * |
| 189 | + * Units: none |
| 190 | + */ |
| 191 | + double thermal_viscosity_exponent; |
| 192 | + |
| 193 | + /** |
| 194 | + * A list of depths that determine the locations of the jumps in |
| 195 | + * the piece-wise constant function $\eta_r(z)$, which describes the |
| 196 | + * depth dependence of viscosity. |
| 197 | + * |
| 198 | + * Units: m |
| 199 | + */ |
| 200 | + std::vector<double> transition_depths; |
| 201 | + |
| 202 | + /** |
| 203 | + * A list of constants that make up the piece-wise constant function |
| 204 | + * $\eta_r(z)$, which determines the depth dependence of viscosity, |
| 205 | + * and is multiplied with the reference viscosity and the |
| 206 | + * temperature dependence to compute the viscosity $\eta(z,T)$. |
| 207 | + * |
| 208 | + * Units: none |
| 209 | + */ |
| 210 | + std::vector<double> viscosity_prefactors; |
| 211 | + |
| 212 | + /** |
| 213 | + * The reference thermal conductivity |
| 214 | + * |
| 215 | + * Units: W/m/k |
| 216 | + */ |
| 217 | + double k; |
| 218 | + |
| 219 | + /** |
| 220 | + * The kinetic prefactor Q used to calculate the reaction rate |
| 221 | + * $\frac{dX}{dt} = Q \Delta G (1 - X)$ |
| 222 | + * |
| 223 | + * Units: J/mol/s |
| 224 | + */ |
| 225 | + double Q_kinetic_prefactor; |
| 226 | + }; |
| 227 | + } // namespace MaterialModel |
| 228 | +} // namespace aspect |
| 229 | + |
| 230 | +#endif |
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