AMDiS  0.3
The Adaptive Multi-Dimensional Simulation Toolbox
PeriodicBC.hpp
1 #pragma once
2 
3 #include <map>
4 #include <optional>
5 #include <utility>
6 #include <vector>
7 
8 #include <dune/common/concept.hh>
9 #include <dune/functions/functionspacebases/concepts.hh>
10 #include <dune/functions/functionspacebases/subspacebasis.hh>
11 
12 #include <amdis/BoundaryCondition.hpp>
13 #include <amdis/BoundarySubset.hpp>
14 #include <amdis/common/ConceptsBase.hpp>
15 #include <amdis/common/FieldMatVec.hpp>
16 #include <amdis/common/TypeTraits.hpp>
17 #include <amdis/typetree/TreePath.hpp>
18 
19 
20 namespace AMDiS
21 {
23  template <class ct, int dow>
25  {
26  using WorldMatrix = FieldMatrix<ct, dow, dow>;
27  using WorldVector = FieldVector<ct, dow>;
28 
30  WorldMatrix matrix_;
31 
33  WorldVector shift_;
34 
35  WorldVector evaluate(WorldVector const& x) const
36  {
37  WorldVector y = shift_;
38  matrix_.umv(x, y);
39  return y;
40  }
41 
42  WorldVector evaluateInverse(WorldVector const& y) const
43  {
44  WorldVector ys = y - shift_;
45  WorldVector x;
46  matrix_.mtv(ys, x);
47  return x;
48  }
49  };
50 
51 
53 
60  template <class Basis, class TP>
61  class PeriodicBC
62  {
63  using SubspaceBasis = Dune::Functions::SubspaceBasis<Basis, TP>;
64 
65  public:
66  using Domain = typename SubspaceBasis::GridView::template Codim<0>::Geometry::GlobalCoordinate;
67  using MultiIndex = typename SubspaceBasis::MultiIndex;
69  using Intersection = typename SubspaceBasis::GridView::Intersection;
70 
71  public:
73  PeriodicBC(SubspaceBasis basis, BoundarySubset<Intersection> boundarySubset,
74  FaceTrafo faceTrafo)
75  : basis_(std::move(basis))
76  , boundarySubset_(std::move(boundarySubset))
77  , faceTrafo_(std::move(faceTrafo))
78  {}
79 
81 
86  void init();
87 
89 
94  template <class Mat, class Sol, class Rhs>
95  void apply(Mat& matrix, Sol& solution, Rhs& rhs);
96 
98  auto const& associations() const
99  {
100  return associations_;
101  }
102 
104  auto const& periodicNodes() const
105  {
106  return periodicNodes_;
107  }
108 
109  protected:
110  void initAssociations();
111  void initAssociations2();
112 
113  // Get the coordinates of the DOFs
114  template <class Node>
115  auto coords(Node const& node, std::vector<std::size_t> const& localIndices) const;
116 
117  private:
118  SubspaceBasis basis_;
119  BoundarySubset<Intersection> boundarySubset_;
120  FaceTrafo faceTrafo_;
121 
122  std::vector<bool> periodicNodes_;
123  std::map<std::size_t, std::size_t> associations_;
124  std::optional<bool> hasConnectedIntersections_;
125  };
126 
127  namespace Impl {
128  template <class Basis>
130  typename Basis::GridView::template Codim<0>::Geometry::GlobalCoordinate::field_type,
131  Basis::GridView::template Codim<0>::Geometry::GlobalCoordinate::dimension>;
132  }
133 
134 
136  template <class B, class TP>
137  auto makePeriodicBC(Dune::Functions::SubspaceBasis<B, TP> basis,
139  Impl::FaceTrafo<B> trafo)
140  {
141  using BcType = PeriodicBC<B, TP>;
142  return BcType(std::move(basis), std::move(boundarySubset), std::move(trafo));
143  }
144 
146  template <class B, class TP,
147  REQUIRES(Concepts::GlobalBasis<B>)>
148  auto makePeriodicBC(B const& basis, TP const& tp,
150  Impl::FaceTrafo<B> trafo)
151  {
152  return makePeriodicBC(Dune::Functions::subspaceBasis(basis, tp),
153  std::move(boundarySubset), std::move(trafo));
154  }
155 
157  template <class B,
158  REQUIRES(Concepts::GlobalBasis<B>)>
159  auto makePeriodicBC(B const& basis,
161  Impl::FaceTrafo<B> trafo)
162  {
163  return makePeriodicBC(basis, makeTreePath(), std::move(boundarySubset),
164  std::move(trafo));
165  }
166 
167 } // end namespace AMDiS
168 
169 #include "PeriodicBC.inc.hpp"
constexpr bool MultiIndex
A multi-index type.
Definition: Concepts.hpp:150
auto const & periodicNodes() const
Return the boolean boundary indicator.
Definition: PeriodicBC.hpp:104
Definition: FieldMatVec.hpp:12
WorldMatrix matrix_
orthogonal (rotation) matrix
Definition: PeriodicBC.hpp:30
WorldVector shift_
Shift vector.
Definition: PeriodicBC.hpp:33
Contains all classes needed for solving linear and non linear equation systems.
Definition: AdaptBase.hpp:6
Implements a periodic boundary condition.
Definition: PeriodicBC.hpp:61
PeriodicBC(SubspaceBasis basis, BoundarySubset< Intersection > boundarySubset, FaceTrafo faceTrafo)
Create the BoundaryCondition and store the face transformation in a local variable.
Definition: PeriodicBC.hpp:73
void init(int &argc, char **&argv, std::string const &initFileName="")
Initialized the Environment for MPI.
Definition: AMDiS.hpp:29
Affine transformation x := A*x + b.
Definition: PeriodicBC.hpp:24
auto makePeriodicBC(Dune::Functions::SubspaceBasis< B, TP > basis, BoundarySubset< typename B::GridView::Intersection > boundarySubset, Impl::FaceTrafo< B > trafo)
Make a PeriodicBC from a subspacebasis.
Definition: PeriodicBC.hpp:137
auto const & associations() const
Return the map of DOF associations.
Definition: PeriodicBC.hpp:98