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face_tri6.h
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1// The libMesh Finite Element Library.
2// Copyright (C) 2002-2026 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_FACE_TRI6_H
21#define LIBMESH_FACE_TRI6_H
22
23// Local includes
24#include "libmesh/libmesh_common.h"
25#include "libmesh/face_tri.h"
26#include "libmesh/face_tri3.h"
27#include "libmesh/fe_reference_element_traits.h"
28
29namespace libMesh
30{
31
63class Tri6 : public Tri
64{
65public:
66
70 explicit
71 Tri6 (Elem * p=nullptr) :
73
74 Tri6 (Tri6 &&) = delete;
75 Tri6 (const Tri6 &) = delete;
76 Tri6 & operator= (const Tri6 &) = delete;
77 Tri6 & operator= (Tri6 &&) = delete;
78 virtual ~Tri6() = default;
79
83 virtual ElemType type () const override { return TRI6; }
84
88 virtual unsigned int n_nodes() const override { return num_nodes; }
89
93 virtual unsigned int n_sub_elem() const override { return 4; }
94
98 virtual bool is_vertex(const unsigned int i) const override;
99
103 virtual bool is_edge(const unsigned int i) const override;
104
108 virtual bool is_face(const unsigned int i) const override;
109
114 virtual bool is_node_on_side(const unsigned int n,
115 const unsigned int s) const override;
116
117 virtual std::vector<unsigned int> nodes_on_side(const unsigned int s) const override;
118
119 virtual std::vector<unsigned int> nodes_on_edge(const unsigned int e) const override;
120
125 virtual bool is_node_on_edge(const unsigned int n,
126 const unsigned int e) const override
127 { return this->is_node_on_side(n,e); }
128
133 virtual bool has_affine_map () const override;
134
138 virtual Order default_order() const override;
139
143 using Elem::key;
144
153 virtual dof_id_type key (const unsigned int s) const override;
154
158 virtual unsigned int local_side_node(unsigned int side,
159 unsigned int side_node) const override;
160
161 virtual std::unique_ptr<Elem> build_side_ptr (const unsigned int i) override;
162
166 virtual void build_side_ptr (std::unique_ptr<Elem> & elem,
167 const unsigned int i) override;
168
169 // Avoid hiding deprecated version with different signature
171
172 virtual void connectivity(const unsigned int sf,
173 const IOPackage iop,
174 std::vector<dof_id_type> & conn) const override;
175
179 virtual unsigned int n_second_order_adjacent_vertices (const unsigned int) const override
180 { return 2; }
181
188 virtual unsigned short int second_order_adjacent_vertex (const unsigned int n,
189 const unsigned int v) const override;
190
196 virtual std::pair<unsigned short int, unsigned short int>
197 second_order_child_vertex (const unsigned int n) const override;
198
202 static const int num_nodes = 6;
203 static const int nodes_per_side = 3;
204
211 _side_nodes = derived_side_nodes<Tri3, num_sides>();
212 static constexpr const unsigned int (&side_nodes_map)[num_sides][nodes_per_side] = _side_nodes.values;
213
218 virtual Real volume () const override;
219
224 virtual BoundingBox loose_bounding_box () const override;
225
226 virtual void permute(unsigned int perm_num) override final;
227
228 virtual void flip(BoundaryInfo *) override final;
229
230 unsigned int center_node_on_side(const unsigned short side) const override final;
231
232 ElemType side_type (const unsigned int s) const override final;
233
234protected:
235
240
241
242
243#ifdef LIBMESH_ENABLE_AMR
244
248 virtual Real embedding_matrix (const unsigned int i,
249 const unsigned int j,
250 const unsigned int k) const override
251 { return _embedding_matrix[i][j][k]; }
252
258
260
261#endif // LIBMESH_ENABLE_AMR
262
263private:
264
269 static const unsigned short int _second_order_adjacent_vertices[num_sides][2];
270
274 static const unsigned short int _second_order_vertex_child_number[num_nodes];
275
279 static const unsigned short int _second_order_vertex_child_index[num_nodes];
280};
281
282
283} // namespace libMesh
284
285#endif // LIBMESH_FACE_TRI6_H
void ErrorVector unsigned int
The BoundaryInfo class contains information relevant to boundary conditions including storing faces,...
Defines a Cartesian bounding box by the two corner extremum.
This is the base class from which all geometric element types are derived.
Definition elem.h:96
virtual dof_id_type key(const unsigned int s) const =0
virtual std::unique_ptr< Elem > build_side_ptr(const unsigned int i)=0
A Node is like a Point, but with more information.
Definition node.h:55
The Tri6 is an element in 2D composed of 6 nodes.
Definition face_tri6.h:64
virtual std::vector< unsigned int > nodes_on_edge(const unsigned int e) const override
Definition face_tri6.C:128
static constexpr NodeMapTable< num_sides, nodes_per_side > _side_nodes
This maps the node of the side to element node numbers.
Definition face_tri6.h:211
virtual void flip(BoundaryInfo *) override final
Flips the element (by swapping node and neighbor pointers) to have a mapping Jacobian of opposite sig...
Definition face_tri6.C:434
virtual ElemType type() const override
Definition face_tri6.h:83
virtual bool is_node_on_edge(const unsigned int n, const unsigned int e) const override
Definition face_tri6.h:125
virtual bool has_affine_map() const override
Definition face_tri6.C:133
virtual bool is_node_on_side(const unsigned int n, const unsigned int s) const override
Definition face_tri6.C:111
virtual bool is_edge(const unsigned int i) const override
Definition face_tri6.C:99
static const int nodes_per_side
Definition face_tri6.h:203
virtual unsigned int n_second_order_adjacent_vertices(const unsigned int) const override
Definition face_tri6.h:179
virtual bool is_vertex(const unsigned int i) const override
Definition face_tri6.C:92
unsigned int center_node_on_side(const unsigned short side) const override final
Definition face_tri6.C:446
Tri6(Tri6 &&)=delete
ElemType side_type(const unsigned int s) const override final
Definition face_tri6.C:454
LIBMESH_ENABLE_TOPOLOGY_CACHES
Definition face_tri6.h:259
virtual ~Tri6()=default
virtual void permute(unsigned int perm_num) override final
Permutes the element (by swapping node and neighbor pointers) according to the specified index.
Definition face_tri6.C:421
static const unsigned short int _second_order_adjacent_vertices[num_sides][2]
Matrix that tells which vertices define the location of mid-side (or second-order) nodes.
Definition face_tri6.h:269
Tri6(Elem *p=nullptr)
Constructor.
Definition face_tri6.h:71
Tri6 & operator=(const Tri6 &)=delete
virtual unsigned int local_side_node(unsigned int side, unsigned int side_node) const override
Definition face_tri6.C:189
virtual bool is_face(const unsigned int i) const override
Definition face_tri6.C:106
static const unsigned short int _second_order_vertex_child_index[num_nodes]
Vector that names the child vertex index for each second order node.
Definition face_tri6.h:279
Tri6(const Tri6 &)=delete
virtual Real embedding_matrix(const unsigned int i, const unsigned int j, const unsigned int k) const override
Matrix used to create the elements children.
Definition face_tri6.h:248
virtual dof_id_type key() const
Don't hide Elem::key() defined in the base class.
Definition elem.C:678
virtual BoundingBox loose_bounding_box() const override
Definition face_tri6.C:286
static const Real _embedding_matrix[num_children][num_nodes][num_nodes]
Matrix that computes new nodal locations/solution values from current nodes/solution.
Definition face_tri6.h:257
static const int num_nodes
Geometric constants for Tri6.
Definition face_tri6.h:202
virtual std::vector< unsigned int > nodes_on_side(const unsigned int s) const override
Definition face_tri6.C:121
static const unsigned short int _second_order_vertex_child_number[num_nodes]
Vector that names a child sharing each second order node.
Definition face_tri6.h:274
virtual unsigned short int second_order_adjacent_vertex(const unsigned int n, const unsigned int v) const override
Definition face_tri6.C:374
virtual Real volume() const override
An optimized method for approximating the area of a TRI6 using quadrature.
Definition face_tri6.C:317
virtual unsigned int n_nodes() const override
Definition face_tri6.h:88
virtual unsigned int n_sub_elem() const override
Definition face_tri6.h:93
virtual std::unique_ptr< Elem > build_side_ptr(const unsigned int i) override
Definition face_tri6.C:200
Node * _nodelinks_data[num_nodes]
Data for links to nodes.
Definition face_tri6.h:239
virtual Order default_order() const override
Definition face_tri6.C:154
static constexpr const unsigned int(& side_nodes_map)[num_sides][nodes_per_side]
Definition face_tri6.h:212
virtual void connectivity(const unsigned int sf, const IOPackage iop, std::vector< dof_id_type > &conn) const override
Definition face_tri6.C:215
virtual std::pair< unsigned short int, unsigned short int > second_order_child_vertex(const unsigned int n) const override
Definition face_tri6.C:395
The Tri is an element in 2D composed of 3 sides.
Definition face_tri.h:48
static const int num_children
Definition face_tri.h:87
static const int num_sides
Geometric constants for all Tris.
Definition face_tri.h:86
The libMesh namespace provides an interface to certain functionality in the library.
IOPackage
libMesh interfaces with several different software packages for the purposes of creating,...
ElemType
Defines an enum for geometric element types.
uint8_t dof_id_type
Definition id_types.h:67
DIE A HORRIBLE DEATH HERE typedef LIBMESH_DEFAULT_SCALAR_TYPE Real
A fixed-size table that constexpr functions can return.
unsigned int values[Rows][Cols]