1 // The libMesh Finite Element Library.
2 // Copyright (C) 2002-2020 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner
3 
4 // This library is free software; you can redistribute it and/or
5 // modify it under the terms of the GNU Lesser General Public
6 // License as published by the Free Software Foundation; either
7 // version 2.1 of the License, or (at your option) any later version.
8 
9 // This library is distributed in the hope that it will be useful,
10 // but WITHOUT ANY WARRANTY; without even the implied warranty of
11 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
12 // Lesser General Public License for more details.
13 
14 // You should have received a copy of the GNU Lesser General Public
15 // License along with this library; if not, write to the Free Software
16 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
17 
18 
19 
20 #ifndef LIBMESH_CELL_INF_HEX8_H
21 #define LIBMESH_CELL_INF_HEX8_H
22 
23 #include "libmesh/libmesh_config.h"
24 
25 #ifdef LIBMESH_ENABLE_INFINITE_ELEMENTS
26 
27 // Local includes
28 #include "libmesh/cell_inf_hex.h"
29 
30 namespace libMesh
31 {
32 
33 /**
34  * The \p InfHex8 is an infinite element in 3D composed of 8 nodes.
35  * It is numbered like this:
36  * \verbatim
37  *   INFHEX8: 7        6                             z^  / y
38  *            o        o    closer to infinity        | /
39  *            :        |                              |/
40  *            :        |                              +----> x
41  *       4    :   5    |
42  *        o   :    o   |
43  *        |   o....|...o 2
44  *        |  .3    |  /
45  *        | .      | /
46  *        |.       |/       base face
47  *        o--------o
48  *        0        1
49  * \endverbatim
50  *
51  * \author Daniel Dreyer
52  * \date 2002
53  * \brief A 3D infinite hexahedral element with 8 nodes.
54  */
55 class InfHex8 final : public InfHex
56 {
57 public:
58 
59   /**
60    * Constructor.  By default this element has no parent.
61    */
62   explicit
63   InfHex8 (Elem * p=nullptr) :
InfHex(InfHex8::n_nodes (),p,_nodelinks_data)64     InfHex(InfHex8::n_nodes(), p, _nodelinks_data)
65   {}
66 
67   InfHex8 (InfHex8 &&) = delete;
68   InfHex8 (const InfHex8 &) = delete;
69   InfHex8 & operator= (const InfHex8 &) = delete;
70   InfHex8 & operator= (InfHex8 &&) = delete;
71   virtual ~InfHex8() = default;
72 
73   /**
74    * \returns 8.  The \p InfHex8 has 8 nodes.
75    */
n_nodes()76   virtual unsigned int n_nodes() const override { return num_nodes; }
77 
78   /**
79    * \returns \p INFHEX8.
80    */
type()81   virtual ElemType type() const override { return INFHEX8; }
82 
83   /**
84    * \returns 1.
85    */
n_sub_elem()86   virtual unsigned int n_sub_elem() const override { return 1; }
87 
88   /**
89    * \returns \p true if the specified (local) node number is a vertex.
90    */
91   virtual bool is_vertex(const unsigned int i) const override;
92 
93   /**
94    * \returns \p true if the specified (local) node number is an edge.
95    */
96   virtual bool is_edge(const unsigned int i) const override;
97 
98   /**
99    * \returns \p true if the specified (local) node number is a face.
100    */
101   virtual bool is_face(const unsigned int i) const override;
102 
103   /**
104    * \returns \p true if the specified (local) node number is on the
105    * specified side.
106    */
107   virtual bool is_node_on_side(const unsigned int n,
108                                const unsigned int s) const override;
109 
110   virtual std::vector<unsigned int> nodes_on_side(const unsigned int s) const override;
111 
112   virtual std::vector<unsigned int> nodes_on_edge(const unsigned int e) const override;
113 
114   /**
115    * \returns \p true if the specified (local) node number is on the
116    * specified edge.
117    */
118   virtual bool is_node_on_edge(const unsigned int n,
119                                const unsigned int e) const override;
120 
121   /**
122    * \returns FIRST.
123    */
124   virtual Order default_order() const override;
125 
126   /**
127    * \returns A \p QUAD4 built coincident with face 0, or an \p INFQUAD4
128    * built coincident with faces 1 to 4.
129    *
130    * \note that the \p std::unique_ptr<Elem> takes care of freeing memory.
131    */
132   virtual std::unique_ptr<Elem> build_side_ptr (const unsigned int i,
133                                                 bool proxy=true) override;
134 
135   /**
136    * Rebuilds a \p QUAD4 built coincident with face 0, or an \p INFQUAD4
137    * built coincident with faces 1 to 4.
138    */
139   virtual void build_side_ptr (std::unique_ptr<Elem> & elem,
140                                const unsigned int i) override;
141 
142   /**
143    * \returns An \p EDGE2 built coincident with edges 0 to 3, or an \p INFEDGE2
144    * built coincident with edges 4 to 7.
145    *
146    * \note The \p std::unique_ptr<Elem> takes care of freeing memory.
147    */
148   virtual std::unique_ptr<Elem> build_edge_ptr (const unsigned int i) override;
149 
150   virtual void connectivity(const unsigned int sc,
151                             const IOPackage iop,
152                             std::vector<dof_id_type> & conn) const override;
153 
vtk_element_type(const unsigned int)154   unsigned int vtk_element_type (const unsigned int) const
155   { return 12; }
156 
157   /**
158    * Geometric constants for InfHex8.
159    */
160   static const int num_nodes = 8;
161   static const int num_sides = 5;
162   static const int num_edges = 8;
163   static const int num_children = 4;
164   static const int nodes_per_side = 4;
165   static const int nodes_per_edge = 2;
166 
167   /**
168    * This maps the \f$ j^{th} \f$ node of the \f$ i^{th} \f$ side to
169    * element node numbers.
170    */
171   static const unsigned int side_nodes_map[num_sides][nodes_per_side];
172 
173   /**
174    * This maps the \f$ j^{th} \f$ node of the \f$ i^{th} \f$ side to
175    * element node numbers.
176    */
177   static const unsigned int edge_nodes_map[num_edges][nodes_per_edge];
178 
179   /**
180    * This maps each edge to the sides that contain said edge.
181    */
182   static const unsigned int edge_sides_map[num_edges][2];
183 
184 protected:
185 
186   /**
187    * Data for links to nodes.
188    */
189   Node * _nodelinks_data[num_nodes];
190 
191 
192 
193 #ifdef LIBMESH_ENABLE_AMR
194 
195   /**
196    * Matrix used to create the elements children.
197    */
embedding_matrix(const unsigned int i,const unsigned int j,const unsigned int k)198   virtual float embedding_matrix (const unsigned int i,
199                                   const unsigned int j,
200                                   const unsigned int k) const override
201   { return _embedding_matrix[i][j][k]; }
202 
203   /**
204    * Matrix that computes new nodal locations/solution values
205    * from current nodes/solution.
206    */
207   static const float _embedding_matrix[num_children][num_nodes][num_nodes];
208 
209   LIBMESH_ENABLE_TOPOLOGY_CACHES;
210 
211 #endif // LIBMESH_ENABLE_AMR
212 
213 };
214 
215 } // namespace libMesh
216 
217 #endif  // ifdef LIBMESH_ENABLE_INFINITE_ELEMENTS
218 
219 #endif // LIBMESH_CELL_INF_HEX8_H
220