refineable_gen_advection_diffusion_elements.h

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// LIC// ====================================================================
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// LIC// multi-physics finite-element library, available
// LIC// at http://www.oomph-lib.org.
// LIC//
// LIC// Copyright (C) 2006-2023 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//====================================================================
// Header file for elements that solve the advection diffusion equation
// and that can be refined.
 
#ifndef OOMPH_REFINEABLE_GEN_ADVECTION_DIFFUSION_ELEMENTS_HEADER
#define OOMPH_REFINEABLE_GEN_ADVECTION_DIFFUSION_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 "gen_advection_diffusion_elements.h"
 
namespace oomph
{
  //======================================================================
  /// A version of the GeneralisedAdvection Diffusion equations that can
  /// be used with non-uniform mesh refinement. In essence, the class overloads
  /// the fill_in_generic_residual_contribution_cons_adv_diff()
  /// function so that contributions
  /// from hanging nodes (or alternatively in-compatible function values)
  /// are taken into account.
  //======================================================================
  template<unsigned DIM>
  class RefineableGeneralisedAdvectionDiffusionEquations
    : public virtual GeneralisedAdvectionDiffusionEquations<DIM>,
      public virtual RefineableElement,
      public virtual ElementWithZ2ErrorEstimator
  {
  public:
    /// Empty Constructor
    RefineableGeneralisedAdvectionDiffusionEquations()
      : GeneralisedAdvectionDiffusionEquations<DIM>(),
        RefineableElement(),
        ElementWithZ2ErrorEstimator()
    {
    }
 
 
    /// Broken copy constructor
    RefineableGeneralisedAdvectionDiffusionEquations(
      const RefineableGeneralisedAdvectionDiffusionEquations<DIM>& dummy) =
      delete;
 
    /// Broken assignment operator
    void operator=(
      const RefineableGeneralisedAdvectionDiffusionEquations<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 GeneralisedAdvectionDiffusion 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
      const unsigned n_node = nnode();
 
      // Find the index at which the unknown is stored
      const unsigned u_nodal_index = this->u_index_cons_adv_diff();
 
      // 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);
 
      // Find out how many nodes there are
      const unsigned n_node = nnode();
 
      // Find the nodal index at which the unknown is stored
      const unsigned u_nodal_index = this->u_index_cons_adv_diff();
 
      // Shape functions
      Shape psi(n_node);
 
      // Find values of shape function
      shape(s, psi);
 
      // Initialise the value of u
      values[0] = 0.0;
 
      // 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()
    {
      RefineableGeneralisedAdvectionDiffusionEquations<DIM>*
        cast_father_element_pt =
          dynamic_cast<RefineableGeneralisedAdvectionDiffusionEquations<DIM>*>(
            this->father_element_pt());
 
      // Set the values of the pointers from the father
      this->Source_fct_pt = cast_father_element_pt->source_fct_pt();
      this->Wind_fct_pt = cast_father_element_pt->wind_fct_pt();
      this->Conserved_wind_fct_pt =
        cast_father_element_pt->conserved_wind_fct_pt();
      this->Diff_fct_pt = cast_father_element_pt->diff_fct_pt();
      this->Pe_pt = cast_father_element_pt->pe_pt();
      this->PeSt_pt = cast_father_element_pt->pe_st_pt();
 
      // Set the ALE status
      this->ALE_is_disabled = cast_father_element_pt->ALE_is_disabled;
    }
 
  protected:
    /// Add the element's contribution to the elemental residual vector
    /// and/or Jacobian matrix
    /// flag=1: compute both
    /// flag=0: compute only residual vector
    void fill_in_generic_residual_contribution_cons_adv_diff(
      Vector<double>& residuals,
      DenseMatrix<double>& jacobian,
      DenseMatrix<double>& mass_matrix,
      unsigned flag);
  };
 
 
  //======================================================================
  /// Refineable version of QGeneralisedAdvectionDiffusionElement.
  /// Inherit from the standard QGeneralisedAdvectionDiffusionElement and the
  /// appropriate refineable geometric element and the refineable equations.
  //======================================================================
  template<unsigned DIM, unsigned NNODE_1D>
  class RefineableQGeneralisedAdvectionDiffusionElement
    : public QGeneralisedAdvectionDiffusionElement<DIM, NNODE_1D>,
      public virtual RefineableGeneralisedAdvectionDiffusionEquations<DIM>,
      public virtual RefineableQElement<DIM>
  {
  public:
    /// Empty Constructor:
    RefineableQGeneralisedAdvectionDiffusionElement()
      : RefineableElement(),
        RefineableGeneralisedAdvectionDiffusionEquations<DIM>(),
        RefineableQElement<DIM>(),
        QGeneralisedAdvectionDiffusionElement<DIM, NNODE_1D>()
    {
    }
 
 
    /// Broken copy constructor
    RefineableQGeneralisedAdvectionDiffusionElement(
      const RefineableQGeneralisedAdvectionDiffusionElement<DIM, NNODE_1D>&
        dummy) = delete;
 
    /// Broken assignment operator
    void operator=(
      const RefineableQGeneralisedAdvectionDiffusionElement<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 QGeneralisedAdvectionDiffusionElement<DIM,
                                                   NNODE_1D>::nvertex_node();
    }
 
    /// Pointer to the j-th vertex node in the element
    Node* vertex_node_pt(const unsigned& j) const
    {
      return QGeneralisedAdvectionDiffusionElement<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
  /// RefineableQuadGeneralisedAdvectionDiffusionElement 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<
    RefineableQGeneralisedAdvectionDiffusionElement<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