refineable_linear_wave_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 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
{
  //======================================================================
  //======================================================================
  template<unsigned DIM>
  class RefineableLinearWaveEquations
    : public virtual LinearWaveEquations<DIM>,
      public virtual RefineableElement,
      public virtual ElementWithZ2ErrorEstimator
  {
  public:
    RefineableLinearWaveEquations()
      : LinearWaveEquations<DIM>(),
        RefineableElement(),
        ElementWithZ2ErrorEstimator()
    {
    }
 
 
    RefineableLinearWaveEquations(
      const RefineableLinearWaveEquations<DIM>& dummy) = delete;
 
    void operator=(const RefineableLinearWaveEquations<DIM>&) = delete;
 
    unsigned num_Z2_flux_terms()
    {
      return DIM;
    }
 
    void get_Z2_flux(const Vector<double>& s, Vector<double>& flux)
    {
      this->get_flux(s, flux);
    }
 
 
    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];
      }
    }
 
 
    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];
      }
    }
 
 
    void further_build()
    {
      this->Source_fct_pt = dynamic_cast<RefineableLinearWaveEquations<DIM>*>(
                              this->father_element_pt())
                              ->source_fct_pt();
    }
 
 
  private:
    void fill_in_generic_residual_contribution_lin_wave(
      Vector<double>& residuals, DenseMatrix<double>& jacobian, unsigned flag);
  };
 
 
  //======================================================================
  //======================================================================
  template<unsigned DIM, unsigned NNODE_1D>
  class RefineableQLinearWaveElement
    : public QLinearWaveElement<DIM, NNODE_1D>,
      public virtual RefineableLinearWaveEquations<DIM>,
      public virtual RefineableQElement<DIM>
  {
  public:
    RefineableQLinearWaveElement()
      : RefineableElement(),
        RefineableLinearWaveEquations<DIM>(),
        RefineableQElement<DIM>(),
        QLinearWaveElement<DIM, NNODE_1D>()
    {
    }
 
 
    RefineableQLinearWaveElement(
      const RefineableQLinearWaveElement<DIM, NNODE_1D>& dummy) = delete;
 
    void operator=(const RefineableQLinearWaveElement<DIM, NNODE_1D>&) = delete;
 
    unsigned ncont_interpolated_values() const
    {
      return 1;
    }
 
    unsigned nvertex_node() const
    {
      return QLinearWaveElement<DIM, NNODE_1D>::nvertex_node();
    }
 
    Node* vertex_node_pt(const unsigned& j) const
    {
      return QLinearWaveElement<DIM, NNODE_1D>::vertex_node_pt(j);
    }
 
    void rebuild_from_sons(Mesh*& mesh_pt) {}
 
    unsigned nrecovery_order()
    {
      return (NNODE_1D - 1);
    }
 
    void further_setup_hanging_nodes() {}
  };
 
 
  //=======================================================================
  //=======================================================================
  template<unsigned DIM, unsigned NNODE_1D>
  class FaceGeometry<RefineableQLinearWaveElement<DIM, NNODE_1D>>
    : public virtual QElement<DIM - 1, NNODE_1D>
  {
  public:
    FaceGeometry() : QElement<DIM - 1, NNODE_1D>() {}
  };
 
} // namespace oomph
 
#endif