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face_quad9.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_QUAD9_H
21#define LIBMESH_FACE_QUAD9_H
22
23// Local includes
24#include "libmesh/libmesh_common.h"
25#include "libmesh/face_quad.h"
26#include "libmesh/face_quad4.h"
27#include "libmesh/fe_reference_element_traits.h"
28
29namespace libMesh
30{
31
53class Quad9 : public Quad
54{
55public:
56
60 explicit
61 Quad9 (Elem * p=nullptr) :
63
64 Quad9 (Quad9 &&) = delete;
65 Quad9 (const Quad9 &) = delete;
66 Quad9 & operator= (const Quad9 &) = delete;
67 Quad9 & operator= (Quad9 &&) = delete;
68 virtual ~Quad9() = default;
69
73 virtual ElemType type () const override { return QUAD9; }
74
78 virtual unsigned int n_nodes() const override { return 9; }
79
83 virtual unsigned int n_sub_elem() const override { return 4; }
84
88 virtual bool is_vertex(const unsigned int i) const override;
89
93 virtual bool is_edge(const unsigned int i) const override;
94
98 virtual bool is_face(const unsigned int i) const override;
99
104 virtual bool is_node_on_side(const unsigned int n,
105 const unsigned int s) const override;
106
107 virtual std::vector<unsigned int> nodes_on_side(const unsigned int s) const override;
108
109 virtual std::vector<unsigned int> nodes_on_edge(const unsigned int e) const override;
110
115 virtual bool is_node_on_edge(const unsigned int n,
116 const unsigned int e) const override
117 { return this->is_node_on_side(n,e); }
118
123 virtual bool has_affine_map () const override;
124
128 virtual Order default_order() const override;
129
133 using Elem::key;
134
143 virtual dof_id_type key (const unsigned int s) const override;
144
151 virtual dof_id_type key () const override;
152
156 virtual unsigned int local_side_node(unsigned int side,
157 unsigned int side_node) const override;
158
159 virtual std::unique_ptr<Elem> build_side_ptr (const unsigned int i) override;
160
164 virtual void build_side_ptr (std::unique_ptr<Elem> & elem,
165 const unsigned int i) override;
166
167 // Avoid hiding deprecated version with different signature
169
170 virtual void connectivity(const unsigned int sf,
171 const IOPackage iop,
172 std::vector<dof_id_type> & conn) const override;
173
177 virtual unsigned int n_second_order_adjacent_vertices (const unsigned int n) const override;
178
185 virtual unsigned short int second_order_adjacent_vertex (const unsigned int n,
186 const unsigned int v) const override;
187
193 virtual std::pair<unsigned short int, unsigned short int>
194 second_order_child_vertex (const unsigned int n) const override;
195
199 static const int num_nodes = 9;
200 static const int nodes_per_side = 3;
201
208 _side_nodes = derived_side_nodes<Quad4, num_sides>();
209 static constexpr const unsigned int (&side_nodes_map)[num_sides][nodes_per_side] = _side_nodes.values;
210
215 virtual Real volume () const override;
216
221 virtual BoundingBox loose_bounding_box () const override;
222
223 virtual void permute(unsigned int perm_num) override final;
224
225 virtual void flip(BoundaryInfo *) override final;
226
227 unsigned int center_node_on_side(const unsigned short side) const override final;
228
229 ElemType side_type (const unsigned int s) const override final;
230
231protected:
232
237
238
239
240#ifdef LIBMESH_ENABLE_AMR
241
245 virtual Real embedding_matrix (const unsigned int i,
246 const unsigned int j,
247 const unsigned int k) const override
248 { return _embedding_matrix[i][j][k]; }
249
255
257
258#endif // LIBMESH_ENABLE_AMR
259
260};
261
262} // namespace libMesh
263
264
265#endif // LIBMESH_FACE_QUAD9_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 QUAD9 is an element in 2D composed of 9 nodes.
Definition face_quad9.h:54
virtual bool is_vertex(const unsigned int i) const override
Definition face_quad9.C:104
virtual std::vector< unsigned int > nodes_on_side(const unsigned int s) const override
Definition face_quad9.C:137
virtual ElemType type() const override
Definition face_quad9.h:73
virtual ~Quad9()=default
Quad9 & operator=(const Quad9 &)=delete
virtual Real volume() const override
An optimized method for approximating the area of a QUAD9 using quadrature.
Definition face_quad9.C:339
virtual BoundingBox loose_bounding_box() const override
Definition face_quad9.C:312
static const int nodes_per_side
Definition face_quad9.h:200
unsigned int center_node_on_side(const unsigned short side) const override final
Definition face_quad9.C:475
static constexpr NodeMapTable< num_sides, nodes_per_side > _side_nodes
This maps the node of the side to element node numbers.
Definition face_quad9.h:208
virtual bool is_node_on_edge(const unsigned int n, const unsigned int e) const override
Definition face_quad9.h:115
virtual bool is_edge(const unsigned int i) const override
Definition face_quad9.C:111
Node * _nodelinks_data[num_nodes]
Data for links to nodes.
Definition face_quad9.h:236
static const int num_nodes
Geometric constants for Quad9.
Definition face_quad9.h:199
static constexpr const unsigned int(& side_nodes_map)[num_sides][nodes_per_side]
Definition face_quad9.h:209
virtual dof_id_type key() const override
Compute a unique key for this element which is suitable for hashing (not necessarily unique,...
Definition face_quad9.C:212
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_quad9.h:254
virtual unsigned int n_second_order_adjacent_vertices(const unsigned int n) const override
Definition face_quad9.C:388
virtual bool is_face(const unsigned int i) const override
Definition face_quad9.C:120
virtual std::vector< unsigned int > nodes_on_edge(const unsigned int e) const override
Definition face_quad9.C:144
virtual std::pair< unsigned short int, unsigned short int > second_order_child_vertex(const unsigned int n) const override
Definition face_quad9.C:434
virtual unsigned int n_sub_elem() const override
Definition face_quad9.h:83
virtual unsigned int local_side_node(unsigned int side, unsigned int side_node) const override
Definition face_quad9.C:219
virtual bool has_affine_map() const override
Definition face_quad9.C:149
Quad9(Quad9 &&)=delete
virtual unsigned int n_nodes() const override
Definition face_quad9.h:78
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_quad9.h:245
virtual std::unique_ptr< Elem > build_side_ptr(const unsigned int i) override
Definition face_quad9.C:230
virtual Order default_order() const override
Definition face_quad9.C:172
virtual bool is_node_on_side(const unsigned int n, const unsigned int s) const override
Definition face_quad9.C:127
virtual unsigned short int second_order_adjacent_vertex(const unsigned int n, const unsigned int v) const override
Definition face_quad9.C:408
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_quad9.C:449
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_quad9.C:462
Quad9(Elem *p=nullptr)
Constructor.
Definition face_quad9.h:61
virtual void connectivity(const unsigned int sf, const IOPackage iop, std::vector< dof_id_type > &conn) const override
Definition face_quad9.C:245
ElemType side_type(const unsigned int s) const override final
Definition face_quad9.C:482
Quad9(const Quad9 &)=delete
The QUAD is an element in 2D composed of 4 sides.
Definition face_quad.h:49
static const int num_children
Definition face_quad.h:86
static const int num_sides
Geometric constants for Quad4.
Definition face_quad.h:85
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]