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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 Discretization | ||
10 | * \brief free functions for the evaluation of primary variable gradients inside elements. | ||
11 | */ | ||
12 | #ifndef DUMUX_DISCRETIZATION_EVAL_GRADIENTS_HH | ||
13 | #define DUMUX_DISCRETIZATION_EVAL_GRADIENTS_HH | ||
14 | |||
15 | #include <dune/common/exceptions.hh> | ||
16 | |||
17 | #include <dumux/common/typetraits/state.hh> | ||
18 | #include <dumux/common/typetraits/isvalid.hh> | ||
19 | #include <dumux/discretization/cellcentered/elementsolution.hh> | ||
20 | #include <dumux/discretization/cvfe/elementsolution.hh> | ||
21 | |||
22 | #include "evalsolution.hh" | ||
23 | |||
24 | namespace Dumux { | ||
25 | |||
26 | // some implementation details | ||
27 | namespace Detail{ | ||
28 | /*! | ||
29 | * \brief Evaluates the gradient of a control-volume finite element solution to a given global position. | ||
30 | * \ingroup Discretization | ||
31 | * | ||
32 | * \param element The element | ||
33 | * \param geometry The element geometry | ||
34 | * \param gridGeometry The finite volume grid geometry | ||
35 | * \param elemSol The primary variables at the dofs of the element | ||
36 | * \param globalPos The global position | ||
37 | * \param ignoreState If true, the state of primary variables is ignored | ||
38 | * | ||
39 | * \return Dune::FieldVector with as many entries as dimension of | ||
40 | * the PrimaryVariables object (i.e. numEq). Each entry is | ||
41 | * a GlobalCoordinate object holding the priVar gradient. | ||
42 | */ | ||
43 | template<class Element, class GridGeometry, class CVFEElemSol> | ||
44 | 27802748 | auto evalCVFEGradients(const Element& element, | |
45 | const typename Element::Geometry& geometry, | ||
46 | const GridGeometry& gridGeometry, | ||
47 | const CVFEElemSol& elemSol, | ||
48 | const typename Element::Geometry::GlobalCoordinate& globalPos, | ||
49 | bool ignoreState = false) | ||
50 | { | ||
51 | // determine if all states are the same at all vertices | ||
52 | using HasState = decltype(isValid(Detail::hasState())(elemSol[0])); | ||
53 |
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27802748 | bool allStatesEqual = ignoreState || Detail::allStatesEqual(elemSol, HasState{}); |
54 | |||
55 | if (allStatesEqual) | ||
56 | { | ||
57 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
58 | |||
59 | // evaluate gradients using the local finite element basis | ||
60 |
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83405844 | const auto& localBasis = gridGeometry.feCache().get(geometry.type()).localBasis(); |
61 | |||
62 | // evaluate the shape function gradients at the scv center | ||
63 | using ShapeJacobian = typename std::decay_t< decltype(localBasis) >::Traits::JacobianType; | ||
64 |
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27802748 | const auto localPos = geometry.local(globalPos); |
65 |
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27802748 | std::vector< ShapeJacobian > shapeJacobian; |
66 |
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27802748 | localBasis.evaluateJacobian(localPos, shapeJacobian); |
67 | |||
68 | // the inverse transposed of the jacobian matrix | ||
69 |
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27802748 | const auto jacInvT = geometry.jacobianInverseTransposed(localPos); |
70 | |||
71 | // interpolate the gradients | ||
72 | 33407236 | Dune::FieldVector<GlobalPosition, CVFEElemSol::PrimaryVariables::dimension> result( GlobalPosition(0.0) ); | |
73 |
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138948372 | for (int i = 0; i < shapeJacobian.size(); ++i) |
74 | { | ||
75 | // the global shape function gradient | ||
76 | 88947364 | GlobalPosition gradN; | |
77 | 266842092 | jacInvT.mv(shapeJacobian[i][0], gradN); | |
78 | |||
79 | // add gradient to global privar gradients | ||
80 |
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420459784 | for (unsigned int pvIdx = 0; pvIdx < CVFEElemSol::PrimaryVariables::dimension; ++pvIdx) |
81 | { | ||
82 | 331512420 | GlobalPosition tmp(gradN); | |
83 | 994537260 | tmp *= elemSol[i][pvIdx]; | |
84 | 994536852 | result[pvIdx] += tmp; | |
85 | } | ||
86 | } | ||
87 | |||
88 |
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55605496 | return result; |
89 | } | ||
90 | else | ||
91 | { | ||
92 | ✗ | DUNE_THROW(Dune::NotImplemented, "Element dofs have different phase states. Enforce calculation by setting ignoreState to true."); | |
93 | } | ||
94 | } | ||
95 | |||
96 | } // end namespace Detail | ||
97 | |||
98 | /*! | ||
99 | * \brief Evaluates the gradient of a given CVFE element solution to a given global position. | ||
100 | * \ingroup Discretization | ||
101 | * | ||
102 | * \param element The element | ||
103 | * \param geometry The element geometry | ||
104 | * \param gridGeometry The finite volume grid geometry | ||
105 | * \param elemSol The primary variables at the dofs of the element | ||
106 | * \param globalPos The global position | ||
107 | * \param ignoreState If true, the state of primary variables is ignored | ||
108 | */ | ||
109 | template<class Element, class FVElementGeometry, class PrimaryVariables> | ||
110 | auto evalGradients(const Element& element, | ||
111 | const typename Element::Geometry& geometry, | ||
112 | const typename FVElementGeometry::GridGeometry& gridGeometry, | ||
113 | const CVFEElementSolution<FVElementGeometry, PrimaryVariables>& elemSol, | ||
114 | const typename Element::Geometry::GlobalCoordinate& globalPos, | ||
115 | bool ignoreState = false) | ||
116 | { | ||
117 |
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27802714 | return Detail::evalCVFEGradients(element, geometry, gridGeometry, elemSol, globalPos, ignoreState); |
118 | } | ||
119 | |||
120 | /*! | ||
121 | * \ingroup Discretization | ||
122 | * \brief Evaluates the gradient of a given CCElementSolution to a given global position. | ||
123 | * This function is only here for (compilation) compatibility reasons with the box scheme. | ||
124 | * The solution within the control volumes is constant and thus gradients are zero. | ||
125 | * One can compute gradients towards the sub-control volume faces after reconstructing | ||
126 | * the solution on the faces. | ||
127 | * | ||
128 | * \param element The element | ||
129 | * \param geometry The element geometry | ||
130 | * \param gridGeometry The finite volume grid geometry | ||
131 | * \param elemSol The primary variables at the dofs of the element | ||
132 | * \param globalPos The global position | ||
133 | * \throws Dune::NotImplemented | ||
134 | * | ||
135 | * \return Dune::FieldVector with as many entries as dimension of | ||
136 | * the PrimaryVariables object (i.e. numEq). Each entry is | ||
137 | * a GlobalCoordinate object holding the priVar gradient. | ||
138 | */ | ||
139 | template<class Element, class FVElementGeometry, class PrimaryVariables> | ||
140 | Dune::FieldVector<typename Element::Geometry::GlobalCoordinate, PrimaryVariables::dimension> | ||
141 | evalGradients(const Element& element, | ||
142 | const typename Element::Geometry& geometry, | ||
143 | const typename FVElementGeometry::GridGeometry& gridGeometry, | ||
144 | const CCElementSolution<FVElementGeometry, PrimaryVariables>& elemSol, | ||
145 | const typename Element::Geometry::GlobalCoordinate& globalPos) | ||
146 | { DUNE_THROW(Dune::NotImplemented, "General gradient evaluation for cell-centered methods"); } | ||
147 | |||
148 | } // namespace Dumux | ||
149 | |||
150 | #endif | ||
151 |