Tfourier_decomposed_helmholtz_elements.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//    Version 1.0; svn revision $LastChangedRevision$
//LIC//
//LIC// $LastChangedDate$
//LIC// 
//LIC// Copyright (C) 2006-2016 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.
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//LIC// Lesser General Public License for more details.
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//LIC// The authors may be contacted at oomph-lib@maths.man.ac.uk.
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//LIC//====================================================================
//Header file for TFourierDecomposedHelmholtz elements
#ifndef OOMPH_TFOURIER_DECOMPOSED_HELMHOLTZ_ELEMENTS_HEADER
#define OOMPH_TFOURIER_DECOMPOSED_HELMHOLTZ_ELEMENTS_HEADER


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


//OOMPH-LIB headers
#include "../generic/nodes.h"
#include "../generic/oomph_utilities.h"
#include "../generic/Telements.h"
#include "../generic/error_estimator.h"
#include "fourier_decomposed_helmholtz_elements.h"

namespace oomph
{

/////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////////////////////////////////
// TFourierDecomposedHelmholtzElement
////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////



//======================================================================
/// TFourierDecomposedHelmholtzElement<NNODE_1D> elements are 
/// isoparametric triangular 
/// FourierDecomposedHelmholtz elements with  NNODE_1D nodal points along each
/// element edge. Inherits from TElement and FourierDecomposedHelmholtzEquations
//======================================================================
template <unsigned NNODE_1D>
class TFourierDecomposedHelmholtzElement : public TElement<2,NNODE_1D>, 
 public FourierDecomposedHelmholtzEquations,
 public virtual ElementWithZ2ErrorEstimator
{
 
 public:
 
 ///\short  Constructor: Call constructors for TElement and 
 /// FourierDecomposedHelmholtz equations
 TFourierDecomposedHelmholtzElement() : TElement<2,NNODE_1D>(), 
  FourierDecomposedHelmholtzEquations()
   { }
 
 
 /// Broken copy constructor
 TFourierDecomposedHelmholtzElement(
  const TFourierDecomposedHelmholtzElement<NNODE_1D>& dummy) 
  { 
   BrokenCopy::broken_copy("TFourierDecomposedHelmholtzElement");
  } 
 
 /// Broken assignment operator
//Commented out broken assignment operator because this can lead to a conflict warning
//when used in the virtual inheritence hierarchy. Essentially the compiler doesn't
//realise that two separate implementations of the broken function are the same and so,
//quite rightly, it shouts.
 /*void operator=(const TFourierDecomposedHelmholtzElement<NNODE_1D>&) 
  {
   BrokenCopy::broken_assign("TFourierDecomposedHelmholtzElement");
   }*/

 /// \short  Access function for Nvalue: # of `values' (pinned or dofs) 
 /// at node n (always returns the same value at every node, 2)
 inline unsigned required_nvalue(const unsigned &n) const 
 {return Initial_Nvalue;}

 /// \short Output function:  
 ///  r,z,u 
 void output(std::ostream &outfile)
 {
  FourierDecomposedHelmholtzEquations::output(outfile);
 }

 ///  \short Output function:  
 ///   r,z,u  n_plot^2 plot points
 void output(std::ostream &outfile, const unsigned &n_plot)
  {
   FourierDecomposedHelmholtzEquations::output(outfile,n_plot);
  }

 
 /// \short C-style output function:  
 ///  r,z,u   or    x,y,z,u
 void output(FILE* file_pt)
  {
   FourierDecomposedHelmholtzEquations::output(file_pt);
  }


 ///  \short C-style output function:  
 ///   r,z,u  at n_plot^2 plot points
 void output(FILE* file_pt, const unsigned &n_plot)
  {
   FourierDecomposedHelmholtzEquations::output(file_pt,n_plot);
  }
 
 
 /// \short Output function for an exact solution:
 ///  r,z,u_exact
 void output_fct(std::ostream &outfile, const unsigned &n_plot,
                 FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)
 {
  FourierDecomposedHelmholtzEquations::output_fct(outfile,n_plot,exact_soln_pt);
 }

 
 /// \short Output function for a time-dependent exact solution.
 ///  x,y,u_exact (calls the steady version)
 void output_fct(std::ostream &outfile, const unsigned &n_plot,
                 const double& time,
                 FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)
 {
   FourierDecomposedHelmholtzEquations::output_fct(
    outfile,n_plot,time,exact_soln_pt);
 }
 
  protected:
 
/// Shape, test functions & derivs. w.r.t. to global coords. Return Jacobian.
 inline double dshape_and_dtest_eulerian_fourier_decomposed_helmholtz(
  const Vector<double> &s, 
  Shape &psi, 
  DShape &dpsidx, 
  Shape &test, 
  DShape &dtestdx) const;
 
 
/// Shape, test functions & derivs. w.r.t. to global coords. Return Jacobian.
 inline double dshape_and_dtest_eulerian_at_knot_fourier_decomposed_helmholtz(
  const unsigned &ipt,
  Shape &psi, 
  DShape &dpsidx, 
  Shape &test,
  DShape &dtestdx) 
  const;
 
 
 /// \short Order of recovery shape functions for Z2 error estimation:
 /// Same order as shape functions.
 unsigned nrecovery_order() {return (NNODE_1D-1);}
 
 /// Number of 'flux' terms for Z2 error estimation 
 unsigned num_Z2_flux_terms() {return 2*2;}
 
 /// \short Get 'flux' for Z2 error recovery:  Standard flux from 
 /// UnsteadyHeat equations
 void get_Z2_flux(const Vector<double>& s, Vector<double>& flux)
 {
  Vector<std::complex <double> > complex_flux(2);
  this->get_flux(s,complex_flux);
  unsigned count=0;
  for (unsigned i=0;i<2;i++)
   {
    flux[count++]=complex_flux[i].real();
    flux[count++]=complex_flux[i].imag();
   }
 }
 
 /// \short Number of vertex nodes in the element
 unsigned nvertex_node() const
 {return TElement<2,NNODE_1D>::nvertex_node();}
 
 /// \short Pointer to the j-th vertex node in the element
 Node* vertex_node_pt(const unsigned& j) const
 {return TElement<2,NNODE_1D>::vertex_node_pt(j);}
 
  private:
 
 /// Static unsigned that holds the (same) number of variables at every node
 static const unsigned Initial_Nvalue;
 
 
};




//Inline functions:


//======================================================================
/// Define the shape functions and test functions and derivatives
/// w.r.t. global coordinates and return Jacobian of mapping.
///
/// Galerkin: Test functions = shape functions
//======================================================================
template<unsigned NNODE_1D>
double TFourierDecomposedHelmholtzElement<NNODE_1D>::
 dshape_and_dtest_eulerian_fourier_decomposed_helmholtz(
 const Vector<double> &s, 
 Shape &psi, 
 DShape &dpsidx,
 Shape &test, 
 DShape &dtestdx) const
 {
  unsigned n_node = this->nnode();
  
  //Call the geometrical shape functions and derivatives  
  double J = this->dshape_eulerian(s,psi,dpsidx);
  
  //Loop over the test functions and derivatives and set them equal to the
  //shape functions
  for(unsigned i=0;i<n_node;i++)
   {
    test[i] = psi[i]; 
    dtestdx(i,0) = dpsidx(i,0);
    dtestdx(i,1) = dpsidx(i,1);
   }
  
  //Return the jacobian
  return J;
 }



//======================================================================
/// Define the shape functions and test functions and derivatives
/// w.r.t. global coordinates and return Jacobian of mapping.
///
/// Galerkin: Test functions = shape functions
//======================================================================
template<unsigned NNODE_1D>
 double TFourierDecomposedHelmholtzElement<NNODE_1D>::
 dshape_and_dtest_eulerian_at_knot_fourier_decomposed_helmholtz(
  const unsigned &ipt,
  Shape &psi, 
  DShape &dpsidx,
  Shape &test, 
  DShape &dtestdx) const
 {
  
  //Call the geometrical shape functions and derivatives  
  double J = this->dshape_eulerian_at_knot(ipt,psi,dpsidx);
  
  //Set the pointers of the test functions
  test = psi;
  dtestdx = dpsidx;
  
  //Return the jacobian
  return J;
  
 }



//=======================================================================
/// Face geometry for the TFourierDecomposedHelmholtzElement 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 NNODE_1D>
class FaceGeometry<TFourierDecomposedHelmholtzElement<NNODE_1D> >: 
 public virtual TElement<1,NNODE_1D>
 {
  
   public:
  
  /// \short Constructor: Call the constructor for the
  /// appropriate lower-dimensional TElement
   FaceGeometry() : TElement<1,NNODE_1D>() {}

};


}

#endif