hermite_element_quad_mesh.template.h

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// LIC// ====================================================================
// LIC// This file forms part of oomph-lib, the object-oriented,
// LIC// multi-physics finite-element library, available
// LIC// at http://www.oomph-lib.org.
// LIC//
// LIC// Copyright (C) 2006-2022 Matthias Heil and Andrew Hazel
// LIC//
// LIC// This library is free software; you can redistribute it and/or
// LIC// modify it under the terms of the GNU Lesser General Public
// LIC// License as published by the Free Software Foundation; either
// LIC// version 2.1 of the License, or (at your option) any later version.
// LIC//
// LIC// This library is distributed in the hope that it will be useful,
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// LIC// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
// LIC// Lesser General Public License for more details.
// LIC//
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// LIC// The authors may be contacted at oomph-lib@maths.man.ac.uk.
// LIC//
// LIC//====================================================================
// This header defines a class for hermite element quad mesh
 
// Include guards
#ifndef OOMPH_HERMITE_ELEMENT_QUAD_MESH_HEADER
#define OOMPH_HERMITE_ELEMENT_QUAD_MESH_HEADER
 
 
// Config header generated by autoconfig
#ifdef HAVE_CONFIG_H
#include <oomph-lib-config.h>
#endif
 
// oomph-lib headers
#include "../generic/hermite_elements.h"
#include "../generic/mesh.h"
#include "topologically_rectangular_domain.h"
 
namespace oomph
{
  //=============================================================================
  //=============================================================================
  template<class ELEMENT>
  class HermiteQuadMesh : public Mesh
  {
  public:
    typedef void (*MeshSpacingFnPtr)(const Vector<double>& m_uniform_spacing,
                                     Vector<double>& m_non_uniform_spacing);
 
 
    HermiteQuadMesh(const unsigned& nx,
                    const unsigned& ny,
                    TopologicallyRectangularDomain* domain,
                    const bool& periodic_in_x = false,
                    TimeStepper* time_stepper_pt = &Mesh::Default_TimeStepper)
    {
      // Mesh can only be built with 2D QHermiteElements.
      MeshChecker::assert_geometric_element<QHermiteElementBase, ELEMENT>(2);
 
      // set number of elements in each coordinate direction
      Nelement.resize(2);
      Nelement[0] = nx;
      Nelement[1] = ny;
 
      // set x periodicity
      Xperiodic = periodic_in_x;
 
      // set the domain pointer
      Domain_pt = domain;
 
      // set the node spacing function to zero
      Node_spacing_fn = 0;
 
      // builds the mesh
      build_mesh(time_stepper_pt);
    }
 
 
    HermiteQuadMesh(const unsigned& nx,
                    const unsigned& ny,
                    TopologicallyRectangularDomain* domain,
                    const MeshSpacingFnPtr spacing_fn,
                    const bool& periodic_in_x = false,
                    TimeStepper* time_stepper_pt = &Mesh::Default_TimeStepper)
    {
      // Mesh can only be built with 2D QHermiteElements.
      MeshChecker::assert_geometric_element<QHermiteElementBase, ELEMENT>(2);
 
      // set number of elements in each coordinate direction
      Nelement.resize(2);
      Nelement[0] = nx;
      Nelement[1] = ny;
 
      // set x periodicity
      Xperiodic = periodic_in_x;
 
      // set the domain pointer
      Domain_pt = domain;
 
      // set the node spacing function to zero
      Node_spacing_fn = spacing_fn;
 
      build_mesh(time_stepper_pt);
    }
 
 
    ~HermiteQuadMesh(){};
 
 
    unsigned& nelement_in_dim(const unsigned& d)
    {
      return Nelement[d];
    }
 
 
  private:
    void macro_coordinate_position(const unsigned& node_num_x,
                                   const unsigned& node_num_y,
                                   Vector<double>& macro_element_position)
    {
      // compute macro element position in uniformly spaced mesh
      macro_element_position[0] = 2 * node_num_x / double(Nelement[0]) - 1;
      macro_element_position[1] = 2 * node_num_y / double(Nelement[1]) - 1;
 
      // if a non unform spacing function is provided
      if (Node_spacing_fn != 0)
      {
        Vector<double> temp(macro_element_position);
        (*Node_spacing_fn)(temp, macro_element_position);
      }
    }
 
 
    void set_position_of_node(const unsigned& node_num_x,
                              const unsigned& node_num_y,
                              Node* node_pt);
 
 
    void set_position_of_boundary_node(const unsigned& node_num_x,
                                       const unsigned& node_num_y,
                                       BoundaryNode<Node>* node_pt);
 
 
    void generalised_macro_element_position_of_node(const unsigned& node_num_x,
                                                    const unsigned& node_num_y,
                                                    DenseMatrix<double>& m_gen);
 
 
    virtual void build_mesh(TimeStepper* time_stepper_pt);
 
 
    virtual void setup_boundary_element_info()
    {
      std::ofstream outfile;
      setup_boundary_element_info(outfile);
    }
 
 
    virtual void setup_boundary_element_info(std::ostream& outfile);
 
 
    Vector<unsigned> Nelement;
 
    bool Xperiodic;
 
    TopologicallyRectangularDomain* Domain_pt;
 
    MeshSpacingFnPtr Node_spacing_fn;
  };
} // namespace oomph
#endif