refineable_linear_wave_elements.h

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//LIC// ====================================================================
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//LIC//
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//LIC// Copyright (C) 2006-2016 Matthias Heil and Andrew Hazel
//LIC// 
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//LIC//====================================================================
//Header file for refineable QPoissonElement elements
#ifndef OOMPH_REFINEABLE_LINEAR_WAVE_ELEMENTS_HEADER
#define OOMPH_REFINEABLE_LINEAR_WAVE_ELEMENTS_HEADER

// Config header generated by autoconfig
#ifdef HAVE_CONFIG_H
  #include <oomph-lib-config.h>
#endif

//oomph-lib headers
#include "../generic/refineable_quad_element.h"
#include "../generic/refineable_brick_element.h"
#include "../generic/error_estimator.h"
#include "linear_wave_elements.h"

namespace oomph
{

//======================================================================
/// \short Refineable version of LinearWave equations. 
//======================================================================
template <unsigned DIM>
class RefineableLinearWaveEquations : public virtual LinearWaveEquations<DIM>,
                                   public virtual RefineableElement,
                                   public virtual ElementWithZ2ErrorEstimator
{
  public:

 /// \short Constructor
 RefineableLinearWaveEquations() : 
  LinearWaveEquations<DIM>(),
  RefineableElement(),
  ElementWithZ2ErrorEstimator()
  {} 


 /// Broken copy constructor
 RefineableLinearWaveEquations(const RefineableLinearWaveEquations<DIM>& dummy) 
  { 
   BrokenCopy::broken_copy("RefineableLinearWaveEquations");
  } 
 
 /// Broken assignment operator
 void operator=(const RefineableLinearWaveEquations<DIM>&) 
  {
   BrokenCopy::broken_assign("RefineableLinearWaveEquations");
  }
 
 /// Number of 'flux' terms for Z2 error estimation 
 unsigned num_Z2_flux_terms() {return DIM;}

 /// Get 'flux' for Z2 error recovery:  Standard flux.from LinearWave equations
 void get_Z2_flux(const Vector<double>& s, Vector<double>& flux)
  {this->get_flux(s,flux);}


/// \short Get the function value u in Vector.
/// Note: Given the generality of the interface (this function
/// is usually called from black-box documentation or interpolation routines),
/// the values Vector sets its own size in here.
void get_interpolated_values(const Vector<double>&s,  Vector<double>& values)
 {
  // Set size of Vector: u
  values.resize(1);
  
  //Find number of nodes
  unsigned n_node = nnode();
  
  //Find the index at which the unknown is stored
  unsigned u_nodal_index = this->u_index_lin_wave();
  
  //Local shape function
  Shape psi(n_node);
  
  //Find values of shape function
  shape(s,psi);
  
  //Initialise value of u
  values[0] = 0.0;
  
  //Loop over the local nodes and sum
  for(unsigned l=0;l<n_node;l++)
   {
    values[0] += this->nodal_value(l,u_nodal_index)*psi[l];
   }
 }


 /// \short Get the function value u in Vector.
 /// Note: Given the generality of the interface (this function
 /// is usually called from black-box documentation or interpolation routines),
 /// the values Vector sets its own size in here.
 void get_interpolated_values(const unsigned& t, const Vector<double>&s, 
                              Vector<double>& values)
  {
   // Set size of Vector:
   values.resize(1);
   
   // Initialise
   values[0]=0.0;
   
   //Find out how many nodes there are
   unsigned n_node = nnode();
   
   //Find the index at which the unknown is stored
   unsigned u_nodal_index = this->u_index_lin_wave();

   // Shape functions
   Shape psi(n_node);
   shape(s,psi);
   
   //Calculate value
   for(unsigned l=0;l<n_node;l++) 
    {
     values[0] += this->nodal_value(t,l,u_nodal_index)*psi[l]; 
    }
  }

 
 ///  Further build: Copy source function pointer from father element
 void further_build()
  {
   this->Source_fct_pt=dynamic_cast<RefineableLinearWaveEquations<DIM>*>(
    this->father_element_pt())->source_fct_pt();
  }


  private:

/// \short Add element's contribution to elemental residual vector and/or 
/// Jacobian matrix 
/// flag=1: compute both
/// flag=0: compute only residual vector
void fill_in_generic_residual_contribution_lin_wave(
 Vector<double> &residuals, DenseMatrix<double> &jacobian, 
 unsigned flag); 

};


//======================================================================
/// Refineable version of 2D QLinearWaveElement elements
///
///
//======================================================================
template <unsigned DIM, unsigned NNODE_1D>
class RefineableQLinearWaveElement : 
public QLinearWaveElement<DIM,NNODE_1D>,
           public virtual RefineableLinearWaveEquations<DIM>,
           public virtual RefineableQElement<DIM>
{
  public:

 /// \short Constructor
  RefineableQLinearWaveElement() : 
   RefineableElement(),
   RefineableLinearWaveEquations<DIM>(),
   RefineableQElement<DIM>(),
   QLinearWaveElement<DIM,NNODE_1D>()
   {} 


 /// Broken copy constructor
 RefineableQLinearWaveElement(const RefineableQLinearWaveElement<DIM,NNODE_1D>& 
                           dummy) 
  { 
   BrokenCopy::broken_copy("RefineableQuadLinearWaveElement");
  } 
 
 /// Broken assignment operator
 void operator=(const RefineableQLinearWaveElement<DIM,NNODE_1D>&) 
  {
   BrokenCopy::broken_assign("RefineableQuadLinearWaveElement");
  }
 
 /// Number of continuously interpolated values: 1
 unsigned ncont_interpolated_values() const {return 1;}

 /// \short Number of vertex nodes in the element
 unsigned nvertex_node() const
  {return QLinearWaveElement<DIM,NNODE_1D>::nvertex_node();}

 /// \short Pointer to the j-th vertex node in the element
 Node* vertex_node_pt(const unsigned& j) const
  {return QLinearWaveElement<DIM,NNODE_1D>::vertex_node_pt(j);}

 /// Rebuild from sons: empty
 void rebuild_from_sons(Mesh* &mesh_pt) {}

 /// \short Order of recovery shape functions for Z2 error estimation:
 /// Same order as shape functions.
 unsigned nrecovery_order() {return (NNODE_1D-1);}

 ///  \short Perform additional hanging node procedures for variables
 /// that are not interpolated by all nodes. Empty.
 void further_setup_hanging_nodes(){}

};
////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////



//=======================================================================
/// Face geometry for the RefineableQuadLinearWaveElement elements: The spatial 
/// dimension of the face elements is one lower than that of the
/// bulk element but they have the same number of points
/// along their 1D edges.
//=======================================================================
template<unsigned DIM, unsigned NNODE_1D>
class FaceGeometry<RefineableQLinearWaveElement<DIM,NNODE_1D> >: 
 public virtual QElement<DIM-1,NNODE_1D>
{

  public:
 
 /// \short Constructor: Call the constructor for the
 /// appropriate lower-dimensional QElement
 FaceGeometry() : QElement<DIM-1,NNODE_1D>() {}

};

}

#endif