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) 2006-2025 Matthias Heil and Andrew Hazel
// LIC//
// LIC// This library is free software; you can redistribute it and/or
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// LIC// License as published by the Free Software Foundation; either
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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 refineable QPoissonElement elements
#ifndef OOMPH_REFINEABLE_LINEAR_WAVE_ELEMENTS_HEADER
#define OOMPH_REFINEABLE_LINEAR_WAVE_ELEMENTS_HEADER
 
// Config header
#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
{
  //======================================================================
  /// Refineable version of LinearWave equations.
  //======================================================================
  template<unsigned DIM>
  class RefineableLinearWaveEquations
    : public virtual LinearWaveEquations<DIM>,
      public virtual RefineableElement,
      public virtual ElementWithZ2ErrorEstimator
  {
  public:
    /// Constructor
    RefineableLinearWaveEquations()
      : LinearWaveEquations<DIM>(),
        RefineableElement(),
        ElementWithZ2ErrorEstimator()
    {
    }
 
 
    /// Broken copy constructor
    RefineableLinearWaveEquations(
      const RefineableLinearWaveEquations<DIM>& dummy) = delete;
 
    /// Broken assignment operator
    void operator=(const RefineableLinearWaveEquations<DIM>&) = delete;
 
    /// 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);
    }
 
 
    /// 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];
      }
    }
 
 
    /// 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:
    /// 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:
    /// Constructor
    RefineableQLinearWaveElement()
      : RefineableElement(),
        RefineableLinearWaveEquations<DIM>(),
        RefineableQElement<DIM>(),
        QLinearWaveElement<DIM, NNODE_1D>()
    {
    }
 
 
    /// Broken copy constructor
    RefineableQLinearWaveElement(
      const RefineableQLinearWaveElement<DIM, NNODE_1D>& dummy) = delete;
 
    /// Broken assignment operator
    void operator=(const RefineableQLinearWaveElement<DIM, NNODE_1D>&) = delete;
 
    /// Number of continuously interpolated values: 1
    unsigned ncont_interpolated_values() const
    {
      return 1;
    }
 
    /// Number of vertex nodes in the element
    unsigned nvertex_node() const
    {
      return QLinearWaveElement<DIM, NNODE_1D>::nvertex_node();
    }
 
    /// 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) {}
 
    /// Order of recovery shape functions for Z2 error estimation:
    /// Same order as shape functions.
    unsigned nrecovery_order()
    {
      return (NNODE_1D - 1);
    }
 
    ///  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:
    /// Constructor: Call the constructor for the
    /// appropriate lower-dimensional QElement
    FaceGeometry() : QElement<DIM - 1, NNODE_1D>() {}
  };
 
} // namespace oomph
 
#endif