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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 | // SPDX-FileCopyrightInfo: Copyright © DuMux Project contributors, see AUTHORS.md in root folder | ||
5 | // SPDX-License-Identifier: GPL-3.0-or-later | ||
6 | // | ||
7 | /** | ||
8 | * \file | ||
9 | * \ingroup ThreePTests | ||
10 | * \brief Definition of a 3pni problem: | ||
11 | * Component transport of nitrogen dissolved in the water phase. | ||
12 | */ | ||
13 | |||
14 | #ifndef DUMUX_3PNI_CONDUCTION_PROBLEM_HH | ||
15 | #define DUMUX_3PNI_CONDUCTION_PROBLEM_HH | ||
16 | |||
17 | #include <cmath> | ||
18 | #include <algorithm> | ||
19 | |||
20 | #include <dumux/common/properties.hh> | ||
21 | #include <dumux/common/parameters.hh> | ||
22 | #include <dumux/common/boundarytypes.hh> | ||
23 | #include <dumux/common/numeqvector.hh> | ||
24 | |||
25 | #include <dumux/porousmediumflow/problem.hh> | ||
26 | #include <dumux/material/components/h2o.hh> | ||
27 | |||
28 | namespace Dumux { | ||
29 | |||
30 | /*! | ||
31 | * \ingroup ThreePTests | ||
32 | * | ||
33 | * \brief Test for the ThreePModel in combination with the NI model for a conduction problem. | ||
34 | * | ||
35 | * The simulation domain is a tube where with an elevated temperature on the left hand side. | ||
36 | * | ||
37 | * Initially the domain is fully saturated with water at a constant temperature. | ||
38 | * On the left hand side there is a Dirichlet boundary condition with an increased | ||
39 | * temperature and on the right hand side a Dirichlet boundary with constant | ||
40 | * pressure, saturation and temperature is applied. | ||
41 | * | ||
42 | * The results are compared to an analytical solution for a diffusion process: | ||
43 | \f[ | ||
44 | T =T_{high} + (T_{init} - T_{high})erf \left(0.5\sqrt{\frac{x^2 S_{total}}{t \lambda_{eff}}}\right) | ||
45 | \f] | ||
46 | * This problem uses the \ref ThreePModel and \ref NIModel model. | ||
47 | */ | ||
48 | template <class TypeTag> | ||
49 | class ThreePNIConductionProblem : public PorousMediumFlowProblem<TypeTag> | ||
50 | { | ||
51 | using ParentType = PorousMediumFlowProblem<TypeTag>; | ||
52 | |||
53 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
54 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
55 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
56 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
57 | using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>; | ||
58 | using BoundaryTypes = Dumux::BoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
59 | using ThermalConductivityModel = GetPropType<TypeTag, Properties::ThermalConductivityModel>; | ||
60 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
61 | using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>; | ||
62 | using IapwsH2O = Components::H2O<Scalar>; | ||
63 | using NumEqVector = Dumux::NumEqVector<PrimaryVariables>; | ||
64 | |||
65 | // copy some indices for convenience | ||
66 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
67 | enum { | ||
68 | // index of the primary variables | ||
69 | pressureIdx = Indices::pressureIdx, | ||
70 | swIdx = Indices::swIdx, | ||
71 | snIdx = Indices::snIdx, | ||
72 | temperatureIdx = Indices::temperatureIdx, | ||
73 | wPhaseIdx = FluidSystem::wPhaseIdx | ||
74 | }; | ||
75 | |||
76 | enum { dimWorld = GridView::dimensionworld }; | ||
77 | |||
78 | using Element = typename GridView::template Codim<0>::Entity; | ||
79 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
80 | |||
81 | public: | ||
82 | 2 | ThreePNIConductionProblem(std::shared_ptr<const GridGeometry> gridGeometry) | |
83 |
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6 | : ParentType(gridGeometry) |
84 | { | ||
85 | //initialize fluid system | ||
86 |
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2 | FluidSystem::init(); |
87 | |||
88 |
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2 | name_ = getParam<std::string>("Problem.Name"); |
89 | 2 | temperatureHigh_ = 300.0; | |
90 |
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5 | temperatureExact_.resize(gridGeometry->numDofs()); |
91 | 2 | } | |
92 | |||
93 | //! Get the analytical temperature | ||
94 | const std::vector<Scalar>& getExactTemperature() | ||
95 | { | ||
96 |
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2 | return temperatureExact_; |
97 | } | ||
98 | |||
99 | //! Update the analytical temperature | ||
100 | 48 | void updateExactTemperature(const SolutionVector& curSol, Scalar time) | |
101 | { | ||
102 | 144 | const auto someElement = *(elements(this->gridGeometry().gridView()).begin()); | |
103 | |||
104 | 96 | const auto someElemSol = elementSolution(someElement, curSol, this->gridGeometry()); | |
105 |
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48 | const auto someInitSol = initialAtPos(someElement.geometry().center()); |
106 | |||
107 |
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192 | const auto someFvGeometry = localView(this->gridGeometry()).bindElement(someElement); |
108 | 48 | const auto someScv = *(scvs(someFvGeometry).begin()); | |
109 | |||
110 | 48 | VolumeVariables volVars; | |
111 |
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48 | volVars.update(someElemSol, *this, someElement, someScv); |
112 | |||
113 |
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96 | const auto porosity = this->spatialParams().porosity(someElement, someScv, someElemSol); |
114 |
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48 | const auto densityW = volVars.density(wPhaseIdx); |
115 |
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144 | const auto heatCapacityW = IapwsH2O::liquidHeatCapacity(someInitSol[temperatureIdx], someInitSol[pressureIdx]); |
116 |
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48 | const auto densityS = volVars.solidDensity(); |
117 |
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48 | const auto heatCapacityS = volVars.solidHeatCapacity(); |
118 | 48 | const auto storage = densityW*heatCapacityW*porosity + densityS*heatCapacityS*(1 - porosity); | |
119 |
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48 | const auto effectiveThermalConductivity = ThermalConductivityModel::effectiveThermalConductivity(volVars); |
120 | using std::max; | ||
121 |
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48 | time = max(time, 1e-10); |
122 |
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96 | auto fvGeometry = localView(this->gridGeometry()); |
123 |
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19392 | for (const auto& element : elements(this->gridGeometry().gridView())) |
124 | { | ||
125 |
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9600 | fvGeometry.bindElement(element); |
126 |
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57600 | for (auto&& scv : scvs(fvGeometry)) |
127 | { | ||
128 | 24000 | auto globalIdx = scv.dofIndex(); | |
129 | 24000 | const auto& globalPos = scv.dofPosition(); | |
130 | using std::erf; | ||
131 | using std::sqrt; | ||
132 | 48000 | temperatureExact_[globalIdx] = temperatureHigh_ + (someInitSol[temperatureIdx] - temperatureHigh_) | |
133 | 72000 | *erf(0.5*sqrt(globalPos[0]*globalPos[0]*storage/time/effectiveThermalConductivity)); | |
134 | |||
135 | } | ||
136 | } | ||
137 | 48 | } | |
138 | |||
139 | /*! | ||
140 | * \name Problem parameters | ||
141 | */ | ||
142 | // \{ | ||
143 | |||
144 | /*! | ||
145 | * \brief The problem name. | ||
146 | * | ||
147 | * This is used as a prefix for files generated by the simulation. | ||
148 | */ | ||
149 | const std::string& name() const | ||
150 | { | ||
151 |
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2 | return name_; |
152 | } | ||
153 | // \} | ||
154 | |||
155 | /*! | ||
156 | * \name Boundary conditions | ||
157 | */ | ||
158 | // \{ | ||
159 | |||
160 | /*! | ||
161 | * \brief Specifies which kind of boundary condition should be | ||
162 | * used for which equation on a given boundary segment. | ||
163 | * | ||
164 | * \param globalPos The position for which the bc type should be evaluated | ||
165 | */ | ||
166 | 228876 | BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const | |
167 | { | ||
168 | 228876 | BoundaryTypes values; | |
169 |
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457752 | if(globalPos[0] < eps_ || globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_) |
170 | { | ||
171 | values.setAllDirichlet(); | ||
172 | } | ||
173 | else | ||
174 | { | ||
175 | values.setAllNeumann(); | ||
176 | } | ||
177 | 228876 | return values; | |
178 | } | ||
179 | |||
180 | /*! | ||
181 | * \brief Evaluates the boundary conditions for a Dirichlet boundary segment. | ||
182 | * | ||
183 | * \param globalPos The position for which the bc type should be evaluated | ||
184 | */ | ||
185 | ✗ | PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const | |
186 | { | ||
187 | 816 | PrimaryVariables values = initialAtPos(globalPos); | |
188 | |||
189 |
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408 | if (globalPos[0] < eps_) |
190 | 408 | values[temperatureIdx] = temperatureHigh_; | |
191 | ✗ | return values; | |
192 | } | ||
193 | |||
194 | /*! | ||
195 | * \brief Evaluates the boundary conditions for a Neumann boundary segment. | ||
196 | * | ||
197 | * \param globalPos The position of the integration point of the boundary segment. | ||
198 | * | ||
199 | * For this method, the \a values parameter stores the mass flux | ||
200 | * in normal direction of each phase. Negative values mean influx. | ||
201 | */ | ||
202 | ✗ | NumEqVector neumannAtPos(const GlobalPosition &globalPos) const | |
203 | { | ||
204 |
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2064624 | return NumEqVector(0.0); |
205 | } | ||
206 | |||
207 | // \} | ||
208 | |||
209 | /*! | ||
210 | * \name Volume terms | ||
211 | */ | ||
212 | // \{ | ||
213 | |||
214 | /*! | ||
215 | * \brief Evaluates the source term for all phases within a given | ||
216 | * sub-controlvolume. | ||
217 | * | ||
218 | * \param globalPos The position for which the source should be evaluated | ||
219 | * | ||
220 | * Returns the rate mass of a component is generated or annihilated | ||
221 | * per volume unit. Positive values mean that mass is created, | ||
222 | * negative ones mean that it vanishes. | ||
223 | * | ||
224 | * The units must be according to either using mole or mass fractions (mole/(m^3*s) or kg/(m^3*s)). | ||
225 | */ | ||
226 | ✗ | NumEqVector sourceAtPos(const GlobalPosition &globalPos) const | |
227 | { | ||
228 | 963600 | return NumEqVector(0.0); | |
229 | } | ||
230 | |||
231 | /*! | ||
232 | * \brief Evaluates the initial value for a control volume. | ||
233 | * | ||
234 | * \param globalPos The position for which the initial condition should be evaluated | ||
235 | * | ||
236 | */ | ||
237 | ✗ | PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const | |
238 | { | ||
239 | 1058 | PrimaryVariables values; | |
240 |
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1058 | values[pressureIdx] = 1e5; // initial condition for the pressure |
241 |
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1058 | values[swIdx] = 1.0; // initial condition for the wetting phase saturation |
242 |
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1058 | values[snIdx] = 1e-5; // initial condition for the nonwetting phase saturation |
243 |
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2116 | values[temperatureIdx] = 290; |
244 | ✗ | return values; | |
245 | } | ||
246 | |||
247 | // \} | ||
248 | |||
249 | private: | ||
250 | Scalar temperatureHigh_; | ||
251 | static constexpr Scalar eps_ = 1e-6; | ||
252 | std::string name_; | ||
253 | std::vector<Scalar> temperatureExact_; | ||
254 | }; | ||
255 | |||
256 | } // end namespace Dumux | ||
257 | #endif | ||
258 |