Thelmholtz_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// 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,
// LIC// but WITHOUT ANY WARRANTY; without even the implied warranty of
// LIC// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
// LIC// Lesser General Public License for more details.
// LIC//
// LIC// You should have received a copy of the GNU Lesser General Public
// LIC// License along with this library; if not, write to the Free Software
// LIC// Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
// LIC// 02110-1301  USA.
// LIC//
// LIC// The authors may be contacted at oomph-lib@maths.man.ac.uk.
// LIC//
// LIC//====================================================================
// Header file for THelmholtz elements
#ifndef OOMPH_THELMHOLTZ_ELEMENTS_HEADER
#define OOMPH_THELMHOLTZ_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 "helmholtz_elements.h"
 
namespace oomph
{
  // THelmholtzElement
 
 
  //======================================================================
  //======================================================================
  template<unsigned DIM, unsigned NNODE_1D>
  class THelmholtzElement : public TElement<DIM, NNODE_1D>,
                            public HelmholtzEquations<DIM>,
                            public virtual ElementWithZ2ErrorEstimator
  {
  public:
    THelmholtzElement() : TElement<DIM, NNODE_1D>(), HelmholtzEquations<DIM>()
    {
    }
 
 
    THelmholtzElement(const THelmholtzElement<DIM, NNODE_1D>& dummy) = delete;
 
    // 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 THelmholtzElement<DIM,NNODE_1D>&) = delete;*/
 
    inline unsigned required_nvalue(const unsigned& n) const
    {
      return Initial_Nvalue;
    }
 
    void output(std::ostream& outfile)
    {
      HelmholtzEquations<DIM>::output(outfile);
    }
 
    void output(std::ostream& outfile, const unsigned& n_plot)
    {
      HelmholtzEquations<DIM>::output(outfile, n_plot);
    }
 
 
    void output(FILE* file_pt)
    {
      HelmholtzEquations<DIM>::output(file_pt);
    }
 
 
    void output(FILE* file_pt, const unsigned& n_plot)
    {
      HelmholtzEquations<DIM>::output(file_pt, n_plot);
    }
 
 
    void output_fct(std::ostream& outfile,
                    const unsigned& n_plot,
                    FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)
    {
      HelmholtzEquations<DIM>::output_fct(outfile, n_plot, exact_soln_pt);
    }
 
 
    void output_fct(std::ostream& outfile,
                    const unsigned& n_plot,
                    const double& time,
                    FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)
    {
      HelmholtzEquations<DIM>::output_fct(outfile, n_plot, time, exact_soln_pt);
    }
 
  protected:
    inline double dshape_and_dtest_eulerian_helmholtz(const Vector<double>& s,
                                                      Shape& psi,
                                                      DShape& dpsidx,
                                                      Shape& test,
                                                      DShape& dtestdx) const;
 
 
    inline double dshape_and_dtest_eulerian_at_knot_helmholtz(
      const unsigned& ipt,
      Shape& psi,
      DShape& dpsidx,
      Shape& test,
      DShape& dtestdx) const;
 
 
    unsigned nrecovery_order()
    {
      return (NNODE_1D - 1);
    }
 
    unsigned num_Z2_flux_terms()
    {
      return 2 * DIM;
    }
 
    void get_Z2_flux(const Vector<double>& s, Vector<double>& flux)
    {
      Vector<std::complex<double>> complex_flux(DIM);
      this->get_flux(s, complex_flux);
      unsigned count = 0;
      for (unsigned i = 0; i < DIM; i++)
      {
        flux[count++] = complex_flux[i].real();
        flux[count++] = complex_flux[i].imag();
      }
    }
 
    unsigned nvertex_node() const
    {
      return TElement<DIM, NNODE_1D>::nvertex_node();
    }
 
    Node* vertex_node_pt(const unsigned& j) const
    {
      return TElement<DIM, NNODE_1D>::vertex_node_pt(j);
    }
 
  private:
    static const unsigned Initial_Nvalue;
  };
 
 
  // Inline functions:
 
 
  //======================================================================
  //======================================================================
  template<unsigned DIM, unsigned NNODE_1D>
  double THelmholtzElement<DIM, NNODE_1D>::dshape_and_dtest_eulerian_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;
  }
 
 
  //======================================================================
  //======================================================================
  template<unsigned DIM, unsigned NNODE_1D>
  double THelmholtzElement<DIM, NNODE_1D>::
    dshape_and_dtest_eulerian_at_knot_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;
  }
 
 
  //=======================================================================
  //=======================================================================
  template<unsigned DIM, unsigned NNODE_1D>
  class FaceGeometry<THelmholtzElement<DIM, NNODE_1D>>
    : public virtual TElement<DIM - 1, NNODE_1D>
  {
  public:
    FaceGeometry() : TElement<DIM - 1, NNODE_1D>() {}
  };
 
  //=======================================================================
  //=======================================================================
  template<unsigned NNODE_1D>
  class FaceGeometry<THelmholtzElement<1, NNODE_1D>>
    : public virtual PointElement
  {
  public:
    FaceGeometry() : PointElement() {}
  };
 
 
} // namespace oomph
 
#endif