face_quad9.h

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// The libMesh Finite Element Library.
// Copyright (C) 2002-2025 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner

// This library is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.

// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
// Lesser General Public License for more details.

// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA



#ifndef LIBMESH_FACE_QUAD9_H
#define LIBMESH_FACE_QUAD9_H

// Local includes
#include "libmesh/libmesh_common.h"
#include "libmesh/face_quad.h"

namespace libMesh
{

class Quad9 : public Quad
{
public:

  explicit
  Quad9 (Elem * p=nullptr) :
    Quad(num_nodes, p, _nodelinks_data) {}

  Quad9 (Quad9 &&) = delete;
  Quad9 (const Quad9 &) = delete;
  Quad9 & operator= (const Quad9 &) = delete;
  Quad9 & operator= (Quad9 &&) = delete;
  virtual ~Quad9() = default;

  virtual ElemType type () const override { return QUAD9; }

  virtual unsigned int n_nodes() const override { return 9; }

  virtual unsigned int n_sub_elem() const override { return 4; }

  virtual bool is_vertex(const unsigned int i) const override;

  virtual bool is_edge(const unsigned int i) const override;

  virtual bool is_face(const unsigned int i) const override;

  virtual bool is_node_on_side(const unsigned int n,
                               const unsigned int s) const override;

  virtual std::vector<unsigned int> nodes_on_side(const unsigned int s) const override;

  virtual std::vector<unsigned int> nodes_on_edge(const unsigned int e) const override;

  virtual bool is_node_on_edge(const unsigned int n,
                               const unsigned int e) const override
  { return this->is_node_on_side(n,e); }

  virtual bool has_affine_map () const override;

  virtual Order default_order() const override;

  using Elem::key;

  virtual dof_id_type key (const unsigned int s) const override;

  virtual dof_id_type key () const override;

  virtual unsigned int local_side_node(unsigned int side,
                                       unsigned int side_node) const override;

  virtual std::unique_ptr<Elem> build_side_ptr (const unsigned int i) override;

  virtual void build_side_ptr (std::unique_ptr<Elem> & elem,
                               const unsigned int i) override;

  // Avoid hiding deprecated version with different signature
  using Elem::build_side_ptr;

  virtual void connectivity(const unsigned int sf,
                            const IOPackage iop,
                            std::vector<dof_id_type> & conn) const override;

  virtual unsigned int n_second_order_adjacent_vertices (const unsigned int n) const override;

  virtual unsigned short int second_order_adjacent_vertex (const unsigned int n,
                                                           const unsigned int v) const override;

  virtual std::pair<unsigned short int, unsigned short int>
  second_order_child_vertex (const unsigned int n) const override;

  static const int num_nodes = 9;
  static const int nodes_per_side = 3;

  static const unsigned int side_nodes_map[num_sides][nodes_per_side];

  virtual Real volume () const override;

  virtual BoundingBox loose_bounding_box () const override;

  virtual void permute(unsigned int perm_num) override final;

  virtual void flip(BoundaryInfo *) override final;

  unsigned int center_node_on_side(const unsigned short side) const override final;

  ElemType side_type (const unsigned int s) const override final;

protected:

  Node * _nodelinks_data[num_nodes];



#ifdef LIBMESH_ENABLE_AMR

  virtual Real embedding_matrix (const unsigned int i,
                                 const unsigned int j,
                                 const unsigned int k) const override
  { return _embedding_matrix[i][j][k]; }

  static const Real _embedding_matrix[num_children][num_nodes][num_nodes];

  LIBMESH_ENABLE_TOPOLOGY_CACHES;

#endif // LIBMESH_ENABLE_AMR

};

} // namespace libMesh


#endif // LIBMESH_FACE_QUAD9_H