oomph::WomersleyMesh< WOMERSLEY_ELEMENT > Class Template Reference

#include <womersley_elements.h>

Inheritance diagram for oomph::WomersleyMesh< WOMERSLEY_ELEMENT >:

Public Member Functions
	WomersleyMesh (Mesh *n_st_outflow_mesh_pt, TimeStepper *time_stepper_pt, const unsigned &fixed_coordinate, const unsigned &w_index)
Public Member Functions inherited from oomph::Mesh
	Mesh ()
	Default constructor. More...
	Mesh (const Vector< Mesh * > &sub_mesh_pt)
void	merge_meshes (const Vector< Mesh * > &sub_mesh_pt)
virtual void	setup_boundary_element_info ()
virtual void	setup_boundary_element_info (std::ostream &outfile)
virtual void	reset_boundary_element_info (Vector< unsigned > &ntmp_boundary_elements, Vector< Vector< unsigned >> &ntmp_boundary_elements_in_region, Vector< FiniteElement * > &deleted_elements)
	Virtual function to perform the reset boundary elements info rutines. More...
template<class BULK_ELEMENT >
void	doc_boundary_coordinates (const unsigned &b, std::ofstream &the_file)
virtual void	scale_mesh (const double &factor)
	Mesh (const Mesh &dummy)=delete
	Broken copy constructor. More...
void	operator= (const Mesh &)=delete
	Broken assignment operator. More...
virtual	~Mesh ()
	Virtual Destructor to clean up all memory. More...
void	flush_element_and_node_storage ()
void	flush_element_storage ()
void	flush_node_storage ()
Node *&	node_pt (const unsigned long &n)
	Return pointer to global node n. More...
Node *	node_pt (const unsigned long &n) const
	Return pointer to global node n (const version) More...
GeneralisedElement *&	element_pt (const unsigned long &e)
	Return pointer to element e. More...
GeneralisedElement *	element_pt (const unsigned long &e) const
	Return pointer to element e (const version) More...
const Vector< GeneralisedElement * > &	element_pt () const
	Return reference to the Vector of elements. More...
Vector< GeneralisedElement * > &	element_pt ()
	Return reference to the Vector of elements. More...
FiniteElement *	finite_element_pt (const unsigned &e) const
Node *&	boundary_node_pt (const unsigned &b, const unsigned &n)
	Return pointer to node n on boundary b. More...
Node *	boundary_node_pt (const unsigned &b, const unsigned &n) const
	Return pointer to node n on boundary b. More...
void	set_nboundary (const unsigned &nbound)
	Set the number of boundaries in the mesh. More...
void	remove_boundary_nodes ()
	Clear all pointers to boundary nodes. More...
void	remove_boundary_nodes (const unsigned &b)
void	remove_boundary_node (const unsigned &b, Node *const &node_pt)
	Remove a node from the boundary b. More...
void	add_boundary_node (const unsigned &b, Node *const &node_pt)
	Add a (pointer to) a node to the b-th boundary. More...
void	copy_boundary_node_data_from_nodes ()
bool	boundary_coordinate_exists (const unsigned &i) const
	Indicate whether the i-th boundary has an intrinsic coordinate. More...
unsigned long	nelement () const
	Return number of elements in the mesh. More...
unsigned long	nnode () const
	Return number of nodes in the mesh. More...
unsigned	ndof_types () const
	Return number of dof types in mesh. More...
unsigned	elemental_dimension () const
	Return number of elemental dimension in mesh. More...
unsigned	nodal_dimension () const
	Return number of nodal dimension in mesh. More...
void	add_node_pt (Node *const &node_pt)
	Add a (pointer to a) node to the mesh. More...
void	add_element_pt (GeneralisedElement *const &element_pt)
	Add a (pointer to) an element to the mesh. More...
virtual void	node_update (const bool &update_all_solid_nodes=false)
virtual void	reorder_nodes (const bool &use_old_ordering=true)
virtual void	get_node_reordering (Vector< Node * > &reordering, const bool &use_old_ordering=true) const
template<class BULK_ELEMENT , template< class > class FACE_ELEMENT>
void	build_face_mesh (const unsigned &b, Mesh *const &face_mesh_pt)
unsigned	self_test ()
	Self-test: Check elements and nodes. Return 0 for OK. More...
void	max_and_min_element_size (double &max_size, double &min_size)
double	total_size ()
void	check_inverted_elements (bool &mesh_has_inverted_elements, std::ofstream &inverted_element_file)
void	check_inverted_elements (bool &mesh_has_inverted_elements)
unsigned	check_for_repeated_nodes (const double &epsilon=1.0e-12)
Vector< Node * >	prune_dead_nodes ()
unsigned	nboundary () const
	Return number of boundaries. More...
unsigned long	nboundary_node (const unsigned &ibound) const
	Return number of nodes on a particular boundary. More...
FiniteElement *	boundary_element_pt (const unsigned &b, const unsigned &e) const
	Return pointer to e-th finite element on boundary b. More...
Node *	get_some_non_boundary_node () const
unsigned	nboundary_element (const unsigned &b) const
	Return number of finite elements that are adjacent to boundary b. More...
int	face_index_at_boundary (const unsigned &b, const unsigned &e) const
virtual void	dump (std::ofstream &dump_file, const bool &use_old_ordering=true) const
	Dump the data in the mesh into a file for restart. More...
void	dump (const std::string &dump_file_name, const bool &use_old_ordering=true) const
	Dump the data in the mesh into a file for restart. More...
virtual void	read (std::ifstream &restart_file)
	Read solution from restart file. More...
void	output_paraview (std::ofstream &file_out, const unsigned &nplot) const
void	output_fct_paraview (std::ofstream &file_out, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) const
void	output_fct_paraview (std::ofstream &file_out, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) const
void	output (std::ostream &outfile)
	Output for all elements. More...
void	output (std::ostream &outfile, const unsigned &n_plot)
	Output at f(n_plot) points in each element. More...
void	output (FILE *file_pt)
	Output for all elements (C-style output) More...
void	output (FILE *file_pt, const unsigned &nplot)
	Output at f(n_plot) points in each element (C-style output) More...
void	output (const std::string &output_filename)
	Output for all elements. More...
void	output (const std::string &output_filename, const unsigned &n_plot)
	Output at f(n_plot) points in each element. More...
void	output_fct (std::ostream &outfile, const unsigned &n_plot, FiniteElement::SteadyExactSolutionFctPt)
	Output a given Vector function at f(n_plot) points in each element. More...
void	output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt)
void	output_boundaries (std::ostream &outfile)
	Output the nodes on the boundaries (into separate tecplot zones) More...
void	output_boundaries (const std::string &output_filename)
void	assign_initial_values_impulsive ()
	Assign initial values for an impulsive start. More...
void	shift_time_values ()
void	calculate_predictions ()
void	set_nodal_and_elemental_time_stepper (TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)
virtual void	set_mesh_level_time_stepper (TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)
void	set_consistent_pinned_values_for_continuation (ContinuationStorageScheme *const &continuation_stepper_pt)
	Set consistent values for pinned data in continuation. More...
bool	does_pointer_correspond_to_mesh_data (double *const &parameter_pt)
	Does the double pointer correspond to any mesh data. More...
void	set_nodal_time_stepper (TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)
	Set the timestepper associated with the nodal data in the mesh. More...
void	set_elemental_internal_time_stepper (TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)
virtual void	compute_norm (double &norm)
virtual void	compute_norm (Vector< double > &norm)
virtual void	compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)
virtual void	compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)
virtual void	compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)
virtual void	compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm)
virtual void	compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm)
virtual void	compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm)
virtual void	compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)
	Returns the norm of the error and that of the exact solution. More...
virtual void	compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm)
bool	is_mesh_distributed () const
	Boolean to indicate if Mesh has been distributed. More...
OomphCommunicator *	communicator_pt () const
void	delete_all_external_storage ()
	Wipe the storage for all externally-based elements. More...

Additional Inherited Members
Public Types inherited from oomph::Mesh
typedef void(FiniteElement::*	SteadyExactSolutionFctPt) (const Vector< double > &x, Vector< double > &soln)
typedef void(FiniteElement::*	UnsteadyExactSolutionFctPt) (const double &time, const Vector< double > &x, Vector< double > &soln)
Static Public Attributes inherited from oomph::Mesh
static Steady< 0 >	Default_TimeStepper
	The Steady Timestepper. More...
static bool	Suppress_warning_about_empty_mesh_level_time_stepper_function
	Static boolean flag to control warning about mesh level timesteppers. More...
Static Public Attributes inherited from oomph::TemplateFreeWomersleyMeshBase
static bool	Suppress_warning_about_unpinned_nst_dofs
	Static bool to suppress warning. More...
Protected Member Functions inherited from oomph::Mesh
unsigned long	assign_global_eqn_numbers (Vector< double * > &Dof_pt)
	Assign (global) equation numbers to the nodes. More...
void	describe_dofs (std::ostream &out, const std::string &current_string) const
void	describe_local_dofs (std::ostream &out, const std::string &current_string) const
void	assign_local_eqn_numbers (const bool &store_local_dof_pt)
	Assign local equation numbers in all elements. More...
void	convert_to_boundary_node (Node *&node_pt, const Vector< FiniteElement * > &finite_element_pt)
void	convert_to_boundary_node (Node *&node_pt)
Protected Attributes inherited from oomph::Mesh
Vector< Vector< Node * > >	Boundary_node_pt
bool	Lookup_for_elements_next_boundary_is_setup
Vector< Vector< FiniteElement * > >	Boundary_element_pt
Vector< Vector< int > >	Face_index_at_boundary
Vector< Node * >	Node_pt
	Vector of pointers to nodes. More...
Vector< GeneralisedElement * >	Element_pt
	Vector of pointers to generalised elements. More...
std::vector< bool >	Boundary_coordinate_exists

Detailed Description

template<class WOMERSLEY_ELEMENT>
class oomph::WomersleyMesh< WOMERSLEY_ELEMENT >

///////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////// Mesh of Womersley elements whose topology, nodal position etc. matches that of a given mesh of face elements in the outflow cross-section of a full Navier-Stokes mesh.

Constructor & Destructor Documentation

WomersleyMesh()

template<class WOMERSLEY_ELEMENT >

oomph::WomersleyMesh< WOMERSLEY_ELEMENT >::WomersleyMesh ( Mesh *  n_st_outflow_mesh_pt, TimeStepper *  time_stepper_pt, const unsigned &  fixed_coordinate, const unsigned &  w_index  )

inline

Constructor: Pass pointer to mesh of face elements in the outflow cross-section of a full Navier-Stokes mesh, the timestepper to be used for the Womersley elements, the coordinate (in the higher-dimensional Navier-Stokes mesh) that is constant in the outflow cross-section and the velocity component (in terms of the nodal index) that represents the outflow component – the latter is used to automatically apply the boundary conditions for the Womersley problem.

How many elements and nodes are there in the original mesh?

Create new elements

    {
      unsigned nelem = n_st_outflow_mesh_pt->nelement();
 
      // Navier-Stokes outflow mesh may not have any nodes stored (it usually
      // just acts as a container for traction elements) -->
      // Count number of distinct Navier-Stokes nodes by adding
      // the elements' nodes to a set
      std::set<Node*> n_st_nodes;
      for (unsigned e = 0; e < nelem; e++)
      {
        FiniteElement* el_pt = n_st_outflow_mesh_pt->finite_element_pt(e);
        unsigned nnod_el = el_pt->nnode();
        for (unsigned j = 0; j < nnod_el; j++)
        {
          n_st_nodes.insert(el_pt->node_pt(j));
 
          // Careful: It there are hanging nodes this won't work!
          if (el_pt->node_pt(j)->is_hanging())
          {
            throw OomphLibError(
              "Cannot build WomersleyMesh from mesh with hanging nodes!",
              OOMPH_CURRENT_FUNCTION,
              OOMPH_EXCEPTION_LOCATION);
          }
        }
      }
 
      // Extract size then wipe
      unsigned nnode_n_st = n_st_nodes.size();
      n_st_nodes.clear();
 
      // Create enough storage
      Node_pt.resize(nnode_n_st);
 
      for (unsigned e = 0; e < nelem; e++)
      {
        add_element_pt(new WOMERSLEY_ELEMENT);
#ifdef PARANOID
        if (finite_element_pt(e)->nnode() !=
            n_st_outflow_mesh_pt->finite_element_pt(e)->nnode())
        {
          throw OomphLibError(
            "Number of nodes in existing and new elements don't match",
            OOMPH_CURRENT_FUNCTION,
            OOMPH_EXCEPTION_LOCATION);
        }
#endif
      }
 
      // Map to record which Navier-Stokes nodes have been visited (default
      // return is false)
      std::map<Node*, bool> n_st_node_done;
 
      // Map to store the Womersley node that corresponds to a
      // Navier Stokes node
      std::map<Node*, Node*> equivalent_womersley_node_pt;
 
      // Initialise count of newly created nodes
      unsigned node_count = 0;
 
 
      // This is awkward do diagnose: We're assuming that
      // the boundary conditions have been applied for the
      // underlying Navier-Stokes problem before calling
      // this function (otherwise it's really tricky to
      // apply the right boundary conditions here), but it's
      // hard to police. Issue definite (but suppressable)
      // warning if nothing has been pinned at all.
      unsigned n_pinned_nodes = 0;
 
      // Loop over nst and womersley elements in tandem to sort out
      // which new nodes are required
      for (unsigned e = 0; e < nelem; e++)
      {
        FiniteElement* n_st_el_pt = n_st_outflow_mesh_pt->finite_element_pt(e);
        unsigned nnod_el = n_st_el_pt->nnode();
        for (unsigned j = 0; j < nnod_el; j++)
        {
          // Has the Navier Stokes node been done yet?
          Node* n_st_node_pt = n_st_el_pt->node_pt(j);
 
          // Hasn't been done: Create new node in Womersley element
          if (!n_st_node_done[n_st_node_pt])
          {
            // Create a new node in the Womersley element
            Node* new_node_pt =
              finite_element_pt(e)->construct_node(j, time_stepper_pt);
 
            // Add newly created node
            Node_pt[node_count] = new_node_pt;
            node_count++;
 
 
            // Set coordinates
            unsigned dim = n_st_node_pt->ndim();
            unsigned icount = 0;
            for (unsigned i = 0; i < dim; i++)
            {
              if (i != fixed_coordinate)
              {
                new_node_pt->x(icount) = n_st_node_pt->x(i);
                icount++;
              }
            }
 
            // Set pin status
            if (n_st_node_pt->is_pinned(w_index))
            {
              new_node_pt->pin(0);
              n_pinned_nodes++;
            }
            else
            {
              // shouldn't need this, but...
              new_node_pt->unpin(0);
            }
 
            // Record which Womersley node the
            // Navier Stokes node is associated with
            equivalent_womersley_node_pt[n_st_node_pt] = new_node_pt;
 
            // Now the Navier-Stokes node has been done
            n_st_node_done[n_st_node_pt] = true;
          }
          // The node has already been done -- set pointer to existing
          // Womersley node
          else
          {
            finite_element_pt(e)->node_pt(j) =
              equivalent_womersley_node_pt[n_st_node_pt];
          }
        }
 
        bool passed = true;
        finite_element_pt(e)->check_J_eulerian_at_knots(passed);
        if (!passed)
        {
          // Reverse the nodes
          unsigned nnod = finite_element_pt(e)->nnode();
          Vector<Node*> orig_nod_pt(nnod);
          for (unsigned j = 0; j < nnod; j++)
          {
            orig_nod_pt[j] = finite_element_pt(e)->node_pt(j);
          }
          for (unsigned j = 0; j < nnod; j++)
          {
            finite_element_pt(e)->node_pt(j) = orig_nod_pt[nnod - j - 1];
          }
          bool passed = true;
          finite_element_pt(e)->check_J_eulerian_at_knots(passed);
          if (!passed)
          {
            throw OomphLibError("Element remains inverted even after reversing "
                                "the local node numbers",
                                OOMPH_CURRENT_FUNCTION,
                                OOMPH_EXCEPTION_LOCATION);
          }
        }
      }
 
 
#ifdef PARANOID
      if (!Suppress_warning_about_unpinned_nst_dofs)
      {
        if (n_pinned_nodes == 0)
        {
          std::stringstream bla;
          bla << "Boundary conditions must be applied in Navier-Stokes\n"
              << "problem before attaching impedance elements.\n"
              << "Note: This warning can be suppressed by setting the\n"
              << "global static boolean\n\n"
              << "     "
                 "TemplateFreeWomersleyMeshBase::Suppress_warning_about_"
                 "unpinned_nst_dofs\n\n"
              << "to true\n";
          OomphLibWarning(
            bla.str(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION);
        }
      }
#endif
 
#ifdef PARANOID
      if (nnode() != nnode_n_st)
      {
        throw OomphLibError(
          "Number of nodes in the new mesh don't match that in the old one",
          OOMPH_CURRENT_FUNCTION,
          OOMPH_EXCEPTION_LOCATION);
      }
#endif
    }

References oomph::Mesh::add_element_pt(), oomph::FiniteElement::check_J_eulerian_at_knots(), oomph::FiniteElement::construct_node(), e(), oomph::Mesh::finite_element_pt(), i, oomph::Node::is_hanging(), oomph::Data::is_pinned(), j, oomph::Node::ndim(), oomph::Mesh::nelement(), oomph::FiniteElement::nnode(), oomph::Mesh::nnode(), oomph::FiniteElement::node_pt(), oomph::Mesh::Node_pt, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::Data::pin(), oomph::TemplateFreeWomersleyMeshBase::Suppress_warning_about_unpinned_nst_dofs, oomph::Data::unpin(), and oomph::Node::x().

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The documentation for this class was generated from the following file:

• womersley_elements.h