libMesh
face_quad9.h
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1 // The libMesh Finite Element Library.
2 // Copyright (C) 2002-2019 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 
27 namespace libMesh
28 {
29 
51 class Quad9 : public Quad
52 {
53 public:
54 
58  explicit
59  Quad9 (Elem * p=nullptr) :
61 
62  Quad9 (Quad9 &&) = delete;
63  Quad9 (const Quad9 &) = delete;
64  Quad9 & operator= (const Quad9 &) = delete;
65  Quad9 & operator= (Quad9 &&) = delete;
66  virtual ~Quad9() = default;
67 
71  virtual ElemType type () const override { return QUAD9; }
72 
76  virtual unsigned int n_nodes() const override { return 9; }
77 
81  virtual unsigned int n_sub_elem() const override { return 4; }
82 
86  virtual bool is_vertex(const unsigned int i) const override;
87 
91  virtual bool is_edge(const unsigned int i) const override;
92 
96  virtual bool is_face(const unsigned int i) const override;
97 
102  virtual bool is_node_on_side(const unsigned int n,
103  const unsigned int s) const override;
104 
105  virtual std::vector<unsigned int> nodes_on_side(const unsigned int s) const override;
106 
111  virtual bool is_node_on_edge(const unsigned int n,
112  const unsigned int e) const override
113  { return this->is_node_on_side(n,e); }
114 
119  virtual bool has_affine_map () const override;
120 
124  virtual Order default_order() const override;
125 
129  using Elem::key;
130 
140  virtual dof_id_type key (const unsigned int s) const override;
141 
148  virtual dof_id_type key () const override;
149 
153  virtual unsigned int which_node_am_i(unsigned int side,
154  unsigned int side_node) const override;
155 
156  virtual std::unique_ptr<Elem> build_side_ptr (const unsigned int i,
157  bool proxy=true) override;
158 
162  virtual void build_side_ptr (std::unique_ptr<Elem> & elem,
163  const unsigned int i) override;
164 
165  virtual void connectivity(const unsigned int sf,
166  const IOPackage iop,
167  std::vector<dof_id_type> & conn) const override;
168 
172  virtual unsigned int n_second_order_adjacent_vertices (const unsigned int n) const override;
173 
180  virtual unsigned short int second_order_adjacent_vertex (const unsigned int n,
181  const unsigned int v) const override;
182 
188  virtual std::pair<unsigned short int, unsigned short int>
189  second_order_child_vertex (const unsigned int n) const override;
190 
194  static const int num_nodes = 9;
195  static const int num_sides = 4;
196  static const int num_children = 4;
197  static const int nodes_per_side = 3;
198 
203  static const unsigned int side_nodes_map[num_sides][nodes_per_side];
204 
209  virtual Real volume () const override;
210 
215  virtual BoundingBox loose_bounding_box () const override;
216 
217 protected:
218 
223 
224 
225 
226 #ifdef LIBMESH_ENABLE_AMR
227 
231  virtual float embedding_matrix (const unsigned int i,
232  const unsigned int j,
233  const unsigned int k) const override
234  { return _embedding_matrix[i][j][k]; }
235 
241 
243 
244 #endif // LIBMESH_ENABLE_AMR
245 
246 };
247 
248 } // namespace libMesh
249 
250 
251 #endif // LIBMESH_FACE_QUAD9_H
libMesh::dof_id_type
uint8_t dof_id_type
Definition: id_types.h:67
libMesh::Quad9::which_node_am_i
virtual unsigned int which_node_am_i(unsigned int side, unsigned int side_node) const override
Definition: face_quad9.C:224
libMesh::Quad9::num_sides
static const int num_sides
Definition: face_quad9.h:195
libMesh::Quad9::num_children
static const int num_children
Definition: face_quad9.h:196
libMesh::Quad9
The QUAD9 is an element in 2D composed of 9 nodes.
Definition: face_quad9.h:51
libMesh::Quad9::is_vertex
virtual bool is_vertex(const unsigned int i) const override
Definition: face_quad9.C:115
libMesh::Quad9::num_nodes
static const int num_nodes
Geometric constants for Quad9.
Definition: face_quad9.h:194
libMesh::Quad9::has_affine_map
virtual bool has_affine_map() const override
Definition: face_quad9.C:154
libMesh::IOPackage
IOPackage
libMesh interfaces with several different software packages for the purposes of creating,...
Definition: enum_io_package.h:37
libMesh::BoundingBox
Defines a Cartesian bounding box by the two corner extremum.
Definition: bounding_box.h:40
libMesh::Quad9::default_order
virtual Order default_order() const override
Definition: face_quad9.C:177
libMesh::Quad9::LIBMESH_ENABLE_TOPOLOGY_CACHES
LIBMESH_ENABLE_TOPOLOGY_CACHES
Definition: face_quad9.h:242
libMesh::Quad9::volume
virtual Real volume() const override
An optimized method for approximating the area of a QUAD9 using quadrature.
Definition: face_quad9.C:410
libMesh
The libMesh namespace provides an interface to certain functionality in the library.
Definition: factoryfunction.C:55
libMesh::Order
Order
Definition: enum_order.h:40
libMesh::Quad9::is_node_on_side
virtual bool is_node_on_side(const unsigned int n, const unsigned int s) const override
Definition: face_quad9.C:138
libMesh::Quad9::n_second_order_adjacent_vertices
virtual unsigned int n_second_order_adjacent_vertices(const unsigned int n) const override
Definition: face_quad9.C:459
libMesh::Quad9::loose_bounding_box
virtual BoundingBox loose_bounding_box() const override
Definition: face_quad9.C:383
libMesh::Quad9::is_face
virtual bool is_face(const unsigned int i) const override
Definition: face_quad9.C:131
libMesh::Quad9::build_side_ptr
virtual std::unique_ptr< Elem > build_side_ptr(const unsigned int i, bool proxy=true) override
Definition: face_quad9.C:235
libMesh::Quad9::embedding_matrix
virtual float 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:231
libMesh::Quad9::is_node_on_edge
virtual bool is_node_on_edge(const unsigned int n, const unsigned int e) const override
Definition: face_quad9.h:111
libMesh::Quad9::second_order_child_vertex
virtual std::pair< unsigned short int, unsigned short int > second_order_child_vertex(const unsigned int n) const override
Definition: face_quad9.C:505
libMesh::Elem::key
virtual dof_id_type key() const
Definition: elem.C:410
libMesh::Quad9::_nodelinks_data
Node * _nodelinks_data[num_nodes]
Data for links to nodes.
Definition: face_quad9.h:222
libMesh::Node
A Node is like a Point, but with more information.
Definition: node.h:52
libMesh::Quad
The QUAD is an element in 2D composed of 4 sides.
Definition: face_quad.h:48
libMesh::Quad9::nodes_per_side
static const int nodes_per_side
Definition: face_quad9.h:197
libMesh::Quad9::type
virtual ElemType type() const override
Definition: face_quad9.h:71
libMesh::Quad9::side_nodes_map
static const unsigned int side_nodes_map[num_sides][nodes_per_side]
This maps the node of the side to element node numbers.
Definition: face_quad9.h:203
libMesh::Quad9::n_sub_elem
virtual unsigned int n_sub_elem() const override
Definition: face_quad9.h:81
libMesh::Quad9::is_edge
virtual bool is_edge(const unsigned int i) const override
Definition: face_quad9.C:122
libMesh::Quad9::second_order_adjacent_vertex
virtual unsigned short int second_order_adjacent_vertex(const unsigned int n, const unsigned int v) const override
Definition: face_quad9.C:479
libMesh::Elem
This is the base class from which all geometric element types are derived.
Definition: elem.h:100
libMesh::Quad9::~Quad9
virtual ~Quad9()=default
libMesh::Quad9::connectivity
virtual void connectivity(const unsigned int sf, const IOPackage iop, std::vector< dof_id_type > &conn) const override
Definition: face_quad9.C:266
libMesh::Quad9::_embedding_matrix
static const float _embedding_matrix[num_children][num_nodes][num_nodes]
Matrix that computes new nodal locations/solution values from current nodes/solution.
Definition: face_quad9.h:240
libMesh::QUAD9
Definition: enum_elem_type.h:43
libMesh::Real
DIE A HORRIBLE DEATH HERE typedef LIBMESH_DEFAULT_SCALAR_TYPE Real
Definition: libmesh_common.h:121
libMesh::Quad9::n_nodes
virtual unsigned int n_nodes() const override
Definition: face_quad9.h:76
libMesh::Quad9::Quad9
Quad9(Elem *p=nullptr)
Constructor.
Definition: face_quad9.h:59
libMesh::Quad9::nodes_on_side
virtual std::vector< unsigned int > nodes_on_side(const unsigned int s) const override
Definition: face_quad9.C:148
libMesh::Quad9::operator=
Quad9 & operator=(const Quad9 &)=delete
libMesh::ElemType
ElemType
Defines an enum for geometric element types.
Definition: enum_elem_type.h:33
libMesh::Quad9::key
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:217