getfem_torus.h

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/* -*- c++ -*- (enables emacs c++ mode) */
/*===========================================================================

 Copyright (C) 2014-2017 Liang Jin Lim

 This file is a part of GetFEM++

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/**
@file getfem_torus.h
@brief Provides mesh and mesh fem of torus.
@date May 2014
@author Liang Jin Lim
*/

#pragma once

#ifndef GETFEM_TORUS_H__
#define GETFEM_TORUS_H__

#include "getfem/getfem_mesh_fem.h"

namespace getfem
{
  /**Torus fem, the real grad base value is modified to compute radial grad of F/R.
     It stores a reference to the original fem object. By default, torus_fem is vectorial.
     There is an option to change it to a scalar form through set_to_scalar(bool is_scalar).
     torus_mesh_fem will automatically check qdim of itself and set the form accordingly.
  */
  class torus_fem : public virtual_fem{

  public :
    virtual size_type index_of_global_dof(size_type cv, size_type i) const;
    void base_value(const base_node &, base_tensor &) const;
    void grad_base_value(const base_node &, base_tensor &) const;
    void hess_base_value(const base_node &, base_tensor &) const;
    void real_base_value(const fem_interpolation_context& c,
      base_tensor &t, bool = true) const;
    void real_grad_base_value(const fem_interpolation_context& c,
      base_tensor &t, bool = true) const;
    void real_hess_base_value(const fem_interpolation_context&,
      base_tensor &, bool = true) const;

    pfem get_original_pfem() const;

    torus_fem(pfem pf) : virtual_fem(*pf), poriginal_fem_(pf), is_scalar_(false){
      init();
    }

    void set_to_scalar(bool is_scalar);

  protected :
    void init();

  private :
    pfem poriginal_fem_;
    bool is_scalar_;
  };
  
  /**Copy an original 2D mesh to become a torus mesh with radial dimension.*/
  class torus_mesh : public mesh
  {
  private:
    bool is_adapted_;
    
  public:
    torus_mesh(std::string name = std::string());
    virtual scalar_type convex_radius_estimate(size_type ic) const;

    void adapt();
    void adapt(const getfem::mesh &original_mesh);
  };

  /**Mesh fem object that adapts */
  class torus_mesh_fem : public mesh_fem{
  public:

    torus_mesh_fem(const torus_mesh &mesh, bgeot::dim_type dim) : mesh_fem(mesh, dim){}    
    void enumerate_dof(void) const;

  private:
    void adapt_to_torus_();
    void del_torus_fem_();
  };

}

#endif /* GETFEM_TORUS_H__  */