Tfoeppl_von_karman_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 
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//LIC// 
//LIC//    Version 1.0; svn revision $LastChangedRevision$
//LIC//
//LIC// $LastChangedDate$
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//LIC// Copyright (C) 2006-2016 Matthias Heil and Andrew Hazel
//LIC// 
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//LIC//====================================================================
//Header file for TFoepplvonKarman elements
#ifndef OOMPH_TFOEPPLVONKARMAN_ELEMENTS_HEADER
#define OOMPH_TFOEPPLVONKARMAN_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 "foeppl_von_karman_elements.h"

namespace oomph
{

/////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////////////////////////////////
// TFoepplvonKarmanElement
////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////



//======================================================================
/// TFoepplvonKarmanElement<NNODE_1D> elements are isoparametric
/// triangular 2-dimensional Foeppl von Karman elements with NNODE_1D
/// nodal points along each element edge. Inherits from TElement and
/// FoepplvonKarmanEquations
//======================================================================
template <unsigned NNODE_1D>
class TFoepplvonKarmanElement : public virtual TElement<2,NNODE_1D>,
                                public virtual FoepplvonKarmanEquations,
                                public virtual ElementWithZ2ErrorEstimator
{

 public:

 ///\short  Constructor: Call constructors for TElement and
 /// Foeppl von Karman equations
 TFoepplvonKarmanElement() : TElement<2,NNODE_1D>(), FoepplvonKarmanEquations()
  { }


 /// Broken copy constructor
 TFoepplvonKarmanElement(const TFoepplvonKarmanElement<NNODE_1D>& dummy)
  {
   BrokenCopy::broken_copy("TFoepplvonKarmanElement");
  }

 /// Broken assignment operator
 void operator=(const TFoepplvonKarmanElement<NNODE_1D>&)
  {
   BrokenCopy::broken_assign("TFoepplvonKarmanElement");
  }

 /// \short  Access function for Nvalue: # of `values' (pinned or dofs)
 /// at node n (always returns the same value at every node, 8)
 inline unsigned required_nvalue(const unsigned &n) const
  {return Initial_Nvalue;}

 /// \short Output function:
 ///  x,y,w
 void output(std::ostream &outfile)
  {
   FoepplvonKarmanEquations::output(outfile);
  }

 ///  \short Output function:
 ///   x,y,w at n_plot^2 plot points
 void output(std::ostream &outfile, const unsigned &n_plot)
  {
   FoepplvonKarmanEquations::output(outfile,n_plot);
  }


 /// \short C-style output function:
 ///  x,y,w
 void output(FILE* file_pt)
  {
   FoepplvonKarmanEquations::output(file_pt);
  }


 ///  \short C-style output function:
 ///   x,y,w at n_plot^2 plot points
 void output(FILE* file_pt, const unsigned &n_plot)
  {
   FoepplvonKarmanEquations::output(file_pt,n_plot);
  }


 /// \short Output function for an exact solution:
 ///  x,y,w_exact
 void output_fct(std::ostream &outfile, const unsigned &n_plot,
                 FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)
  {
   FoepplvonKarmanEquations::output_fct(outfile,n_plot,exact_soln_pt);
  }


 /// \short Output function for a time-dependent exact solution.
 ///  x,y,w_exact (calls the steady version)
 void output_fct(std::ostream &outfile, const unsigned &n_plot,
                 const double& time,
                 FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)
  {
   FoepplvonKarmanEquations::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_fvk(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_fvk(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;}

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

 /// \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 TFoepplvonKarmanElement<NNODE_1D>::dshape_and_dtest_eulerian_fvk(
 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 TFoepplvonKarmanElement<NNODE_1D>::
dshape_and_dtest_eulerian_at_knot_fvk(
 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 TFoepplvonKarmanElement 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<TFoepplvonKarmanElement<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