oomph::QuarterCircleSectorMesh< ELEMENT > Class Template Reference

#include <quarter_circle_sector_mesh.template.h>

Inheritance diagram for oomph::QuarterCircleSectorMesh< ELEMENT >:

Public Member Functions
	QuarterCircleSectorMesh (GeomObject *wall_pt, const double &xi_lo, const double &fract_mid, const double &xi_hi, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
virtual	~QuarterCircleSectorMesh ()
	Destructor: More...
GeomObject *&	wall_pt ()
	Access function to GeomObject representing wall. More...
QuarterCircleSectorDomain *	domain_pt ()
	Access function to domain. More...
QuarterCircleSectorDomain::BLSquashFctPt &	bl_squash_fct_pt ()
Public Member Functions inherited from oomph::QuadMeshBase
	QuadMeshBase ()
	Constructor (empty) More...
	QuadMeshBase (const QuadMeshBase &node)=delete
	Broken copy constructor. More...
void	operator= (const QuadMeshBase &)=delete
	Broken assignment operator. More...
virtual	~QuadMeshBase ()
	Destructor (empty) More...
void	setup_boundary_element_info ()
void	setup_boundary_element_info (std::ostream &outfile)
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	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...

Protected Attributes
QuarterCircleSectorDomain *	Domain_pt
	Pointer to Domain. More...
GeomObject *	Wall_pt
double	Xi_lo
	Lower limit for the (1D) coordinates along the wall. More...
double	Fract_mid
	Fraction along wall where outer ring is to be divided. More...
double	Xi_hi
	Upper limit for the (1D) coordinates along the wall. More...
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

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...
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)

Detailed Description

template<class ELEMENT>
class oomph::QuarterCircleSectorMesh< ELEMENT >

2D quarter ring mesh class. The domain is specified by the GeomObject that identifies boundary 1.

                     ---___
                    |      ---____
                    |              -   BOUNDARY 1
                    |               /
                    |     [2]      /  |
                    |             /     |
                    | N          /        |
                    | |_ E      /          |
     BOUNDARY 2     |-----------           |
                    |          |    [1]    |
                    |   [0]    |           |  ^
                    |          |           | / \  direction of
                    | N        |    N      |  |   Lagrangian
                    | |_ E     |    |_ E   |  |   coordinate
                    |__________|___________|  |   along wall GeomObject
 
                         BOUNDARY 0
 
Within the elements (MacroElements), the local coordinates
are such that the (E)astern direction coincides with the positive
s_0 direction,  while the (N)orther direction coincides with the positive
s_1 direction.

Domain is parametrised by three macro elements as sketched. Nodal positions are determined via macro-element-based representation of the Domain (as a QuarterCircleSectorDomain).

Constructor & Destructor Documentation

QuarterCircleSectorMesh()

template<class ELEMENT >

oomph::QuarterCircleSectorMesh< ELEMENT >::QuarterCircleSectorMesh	(	GeomObject *	wall_pt,
		const double &	xi_lo,
		const double &	fract_mid,
		const double &	xi_hi,
		TimeStepper *	time_stepper_pt = &Mesh::Default_TimeStepper
	)

Constructor: Pass pointer to geometric object that specifies the wall, start and end coordinates on the geometric object, and the fraction along which the dividing line is to be placed, and the timestepper (defaults to (Steady) default timestepper defined in Mesh)

Constructor for deformable 2D Ring mesh class. Pass pointer to geometric object that specifies the wall, start and end coordinates on the geometric object, and the fraction along which the dividing line is to be placed, and the timestepper (defaults to (Steady) default timestepper defined in Mesh). Nodal positions are determined via macro-element-based representation of the Domain (as a QuarterCircleSectorDomain).

    : Wall_pt(wall_pt), Xi_lo(xi_lo), Fract_mid(fract_mid), Xi_hi(xi_hi)
  {
    // Mesh can only be built with 2D Qelements.
    MeshChecker::assert_geometric_element<QElementGeometricBase, ELEMENT>(2);
 
    // Build macro element-based domain
    Domain_pt = new QuarterCircleSectorDomain(wall_pt, xi_lo, fract_mid, xi_hi);
 
    // Set the number of boundaries
    set_nboundary(3);
 
    // We have only bothered to parametrise boundary 1
    Boundary_coordinate_exists[1] = true;
 
    // Allocate the store for the elements
    Element_pt.resize(3);
 
    // Create first element
    Element_pt[0] = new ELEMENT;
 
    // Read out the number of linear points in the element
    unsigned n_p = dynamic_cast<ELEMENT*>(finite_element_pt(0))->nnode_1d();
 
    // Can now allocate the store for the nodes
    Node_pt.resize(n_p * n_p + (n_p - 1) * n_p + (n_p - 1) * (n_p - 1));
 
 
    Vector<double> s(2);
    Vector<double> r(2);
 
    // Storage for the intrinsic boundary coordinate
    Vector<double> zeta(1);
 
 
    // Set up geometrical data
    //------------------------
 
    // Initialise node counter
    unsigned long node_count = 0;
 
 
    // Now assign the topology
    // Boundaries are numbered 0 1 2 from the bottom proceeding anticlockwise
 
 
    // FIRST ELEMENT (lower left corner)
    //
 
    // Set the corner node (on boundaries 0 and 2)
    //-------------------------------------------
 
    // Create the ll node
    Node_pt[node_count] =
      finite_element_pt(0)->construct_boundary_node(0, time_stepper_pt);
 
    // Set the pointer from the element to the node
    finite_element_pt(0)->node_pt(0) = Node_pt[node_count];
 
    // Set the position of the ll node
    s[0] = -1.0;
    s[1] = -1.0;
    Domain_pt->macro_element_pt(0)->macro_map(s, r);
    Node_pt[node_count]->x(0) = r[0];
    Node_pt[node_count]->x(1) = r[1];
 
    // Add the node to the boundaries
    add_boundary_node(0, Node_pt[node_count]);
    add_boundary_node(2, Node_pt[node_count]);
 
    // Increment the node number
    node_count++;
 
    // First row is on boundary 0:
    //---------------------------
    for (unsigned l1 = 1; l1 < n_p; l1++)
    {
      // Local node number
      unsigned jnod_local = l1;
 
      // Create the node
      Node_pt[node_count] = finite_element_pt(0)->construct_boundary_node(
        jnod_local, time_stepper_pt);
 
      // Set the pointer from the element to the node
      finite_element_pt(0)->node_pt(jnod_local) = Node_pt[node_count];
 
      // Set the position of the node
      s[0] = -1.0 + 2.0 * double(l1) / double(n_p - 1);
      s[1] = -1.0;
      Domain_pt->macro_element_pt(0)->macro_map(s, r);
      Node_pt[node_count]->x(0) = r[0];
      Node_pt[node_count]->x(1) = r[1];
 
      // Add the node to the boundary
      add_boundary_node(0, Node_pt[node_count]);
 
      // Increment the node number
      node_count++;
    }
 
 
    // Loop over the other rows of nodes
    //------------------------------------
    for (unsigned l2 = 1; l2 < n_p; l2++)
    {
      // First node in this row is on boundary 2:
      //-----------------------------------------
 
      // Local node number
      unsigned jnod_local = n_p * l2;
 
      // Create the node
      Node_pt[node_count] = finite_element_pt(0)->construct_boundary_node(
        jnod_local, time_stepper_pt);
 
      // Set the pointer from the element to the node
      finite_element_pt(0)->node_pt(jnod_local) = Node_pt[node_count];
 
 
      // Set the position of the node
      s[0] = -1.0;
      s[1] = -1.0 + 2.0 * double(l2) / double(n_p - 1);
      ;
      Domain_pt->macro_element_pt(0)->macro_map(s, r);
      Node_pt[node_count]->x(0) = r[0];
      Node_pt[node_count]->x(1) = r[1];
 
      // Add the node to the boundary
      add_boundary_node(2, Node_pt[node_count]);
 
      // Increment the node number
      node_count++;
 
 
      // The other nodes are in the interior
      //------------------------------------
      // Loop over the other node columns
      for (unsigned l1 = 1; l1 < n_p; l1++)
      {
        // Local node number
        unsigned jnod_local = l1 + n_p * l2;
 
        // Create the node
        Node_pt[node_count] =
          finite_element_pt(0)->construct_node(jnod_local, time_stepper_pt);
 
        // Set the pointer from the element to the node
        finite_element_pt(0)->node_pt(jnod_local) = Node_pt[node_count];
 
        // Set the position of the node
        s[0] = -1.0 + 2.0 * double(l1) / double(n_p - 1);
        s[1] = -1.0 + 2.0 * double(l2) / double(n_p - 1);
        Domain_pt->macro_element_pt(0)->macro_map(s, r);
        Node_pt[node_count]->x(0) = r[0];
        Node_pt[node_count]->x(1) = r[1];
 
        // Increment the node number
        node_count++;
      }
    }
 
    // SECOND ELEMENT (lower right corner)
    //
    // Create element
    Element_pt[1] = new ELEMENT;
 
    // Loop over the first column (already exists!)
    //---------------------------------------------
    for (unsigned l2 = 0; l2 < n_p; l2++)
    {
      // Node number in existing element
      unsigned jnod_local_old = (n_p - 1) + l2 * n_p;
 
      // Set the pointer from the element to the node
      finite_element_pt(1)->node_pt(l2 * n_p) =
        finite_element_pt(0)->node_pt(jnod_local_old);
    }
 
    // Loop over the other node columns (apart from last one)
    //------------------------------------------------------
    for (unsigned l1 = 1; l1 < n_p - 1; l1++)
    {
      // First node is at the bottom (on boundary 0)
      //--------------------------------------------
 
      // Local node number
      unsigned jnod_local = l1;
 
      // Create the node
      Node_pt[node_count] = finite_element_pt(1)->construct_boundary_node(
        jnod_local, time_stepper_pt);
 
      // Set the pointer from the element to the node
      finite_element_pt(1)->node_pt(jnod_local) = Node_pt[node_count];
 
      // Set the position of the node
      s[0] = -1.0 + 2.0 * double(l1) / double(n_p - 1);
      s[1] = -1.0;
      Domain_pt->macro_element_pt(1)->macro_map(s, r);
      Node_pt[node_count]->x(0) = r[0];
      Node_pt[node_count]->x(1) = r[1];
 
      // Add the node to the boundary
      add_boundary_node(0, Node_pt[node_count]);
 
      // Increment the node number
      node_count++;
 
      // Now loop over the interior nodes in this column
      //-------------------------------------------------
      for (unsigned l2 = 1; l2 < n_p; l2++)
      {
        // Local node number
        unsigned jnod_local = l1 + l2 * n_p;
 
        // Create the node
        Node_pt[node_count] =
          finite_element_pt(1)->construct_node(jnod_local, time_stepper_pt);
 
        // Set the pointer from the element to the node
        finite_element_pt(1)->node_pt(jnod_local) = Node_pt[node_count];
 
        // Set the position of the node
        s[0] = -1.0 + 2.0 * double(l1) / double(n_p - 1);
        s[1] = -1.0 + 2.0 * double(l2) / double(n_p - 1);
        Domain_pt->macro_element_pt(1)->macro_map(s, r);
        Node_pt[node_count]->x(0) = r[0];
        Node_pt[node_count]->x(1) = r[1];
 
        // Increment the node number
        node_count++;
      }
    }
 
    // Last column (on boundary 1)
    //----------------------------
 
    // First node is at the bottom (and hence also on boundary 0)
    //-----------------------------------------------------------
 
    // Local node number
    unsigned jnod_local = n_p - 1;
 
    // Create the node
    Node_pt[node_count] = finite_element_pt(1)->construct_boundary_node(
      jnod_local, time_stepper_pt);
 
    // Set the pointer from the element to the node
    finite_element_pt(1)->node_pt(jnod_local) = Node_pt[node_count];
 
    // Set the position of the node
    s[0] = 1.0;
    s[1] = -1.0;
    Domain_pt->macro_element_pt(1)->macro_map(s, r);
    Node_pt[node_count]->x(0) = r[0];
    Node_pt[node_count]->x(1) = r[1];
 
    // Add the node to the boundaries
    add_boundary_node(0, Node_pt[node_count]);
    add_boundary_node(1, Node_pt[node_count]);
 
    // Set the intrinsic coordinate on the boundary 1
    zeta[0] = Xi_lo + 0.5 * (1.0 + s[1]) * Fract_mid * (Xi_hi - Xi_lo);
    Node_pt[node_count]->set_coordinates_on_boundary(1, zeta);
 
    // Increment the node number
    node_count++;
 
    // Now do the remaining nodes in last column (only on boundary 1)
    //---------------------------------------------------------------
    for (unsigned l2 = 1; l2 < n_p; l2++)
    {
      // Local node number
      unsigned jnod_local = (n_p - 1) + l2 * n_p;
 
      // Create the node
      Node_pt[node_count] = finite_element_pt(1)->construct_boundary_node(
        jnod_local, time_stepper_pt);
 
      // Set the pointer from the element to the node
      finite_element_pt(1)->node_pt(jnod_local) = Node_pt[node_count];
 
      // Set the position of the node
      s[0] = 1.0;
      s[1] = -1.0 + 2.0 * double(l2) / double(n_p - 1);
      Domain_pt->macro_element_pt(1)->macro_map(s, r);
      Node_pt[node_count]->x(0) = r[0];
      Node_pt[node_count]->x(1) = r[1];
 
      // Add the node to the boundary
      add_boundary_node(1, Node_pt[node_count]);
 
      // Set the intrinsic coordinate on the boundary 1
      zeta[0] = Xi_lo + 0.5 * (1.0 + s[1]) * Fract_mid * (Xi_hi - Xi_lo);
      Node_pt[node_count]->set_coordinates_on_boundary(1, zeta);
 
 
      // Increment the node number
      node_count++;
    }
 
 
    // THIRD ELEMENT (upper left corner)
    //
    // Create element
    Element_pt[2] = new ELEMENT;
 
    // Loop over the first row (has already been created via element 0)
    //-----------------------------------------------------------------
    for (unsigned l1 = 0; l1 < n_p; l1++)
    {
      // Node number in existing element
      unsigned jnod_local_old = n_p * (n_p - 1) + l1;
 
      // Local node number here
      unsigned jnod_local = l1;
 
      // Set the pointer from the element to the node
      finite_element_pt(2)->node_pt(jnod_local) =
        finite_element_pt(0)->node_pt(jnod_local_old);
    }
 
 
    // Loop over the remaining nodes in the last column (has already
    //--------------------------------------------------------------
    // been created via element 1)
    //----------------------------
    for (unsigned l2 = 1; l2 < n_p; l2++)
    {
      // Node number in existing element
      unsigned jnod_local_old = n_p * (n_p - 1) + l2;
 
      // Local node number here
      unsigned jnod_local = (n_p - 1) + l2 * n_p;
 
      // Set the pointer from the element to the node
      finite_element_pt(2)->node_pt(jnod_local) =
        finite_element_pt(1)->node_pt(jnod_local_old);
    }
 
 
    // Loop over the nodes in rows (apart from last one which is on boundary 1)
    //-------------------------------------------------------------------------
    for (unsigned l2 = 1; l2 < n_p - 1; l2++)
    {
      // First node in this row is on boundary 2:
      //-----------------------------------------
 
      // Local node number
      unsigned jnod_local = n_p * l2;
 
      // Create the node
      Node_pt[node_count] = finite_element_pt(2)->construct_boundary_node(
        jnod_local, time_stepper_pt);
 
      // Set the pointer from the element to the node
      finite_element_pt(2)->node_pt(jnod_local) = Node_pt[node_count];
 
      // Set the position of the node
      s[0] = -1.0;
      s[1] = -1.0 + 2.0 * double(l2) / double(n_p - 1);
      ;
      Domain_pt->macro_element_pt(2)->macro_map(s, r);
      Node_pt[node_count]->x(0) = r[0];
      Node_pt[node_count]->x(1) = r[1];
 
      // Add the node to the boundary
      add_boundary_node(2, Node_pt[node_count]);
 
      // Increment the node number
      node_count++;
 
      // The other nodes are in the interior
      //------------------------------------
      // Loop over the other node columns
      for (unsigned l1 = 1; l1 < n_p - 1; l1++)
      {
        // Local node number
        unsigned jnod_local = l1 + n_p * l2;
 
        // Create the node
        Node_pt[node_count] =
          finite_element_pt(2)->construct_node(jnod_local, time_stepper_pt);
 
        // Set the pointer from the element to the node
        finite_element_pt(2)->node_pt(jnod_local) = Node_pt[node_count];
 
        // Set the position of the node
        s[0] = -1.0 + 2.0 * double(l1) / double(n_p - 1);
        s[1] = -1.0 + 2.0 * double(l2) / double(n_p - 1);
        Domain_pt->macro_element_pt(2)->macro_map(s, r);
        Node_pt[node_count]->x(0) = r[0];
        Node_pt[node_count]->x(1) = r[1];
 
        // Increment the node number
        node_count++;
      }
    }
 
 
    // Top left corner is on boundaries 1 and 2:
    //------------------------------------------
 
    // Local node number
    jnod_local = n_p * (n_p - 1);
 
    // Create the node
    Node_pt[node_count] = finite_element_pt(2)->construct_boundary_node(
      jnod_local, time_stepper_pt);
 
    // Set the pointer from the element to the node
    finite_element_pt(2)->node_pt(jnod_local) = Node_pt[node_count];
 
    // Set the position of the node
    s[0] = -1.0;
    s[1] = 1.0;
    Domain_pt->macro_element_pt(2)->macro_map(s, r);
    Node_pt[node_count]->x(0) = r[0];
    Node_pt[node_count]->x(1) = r[1];
 
    // Add the node to the boundaries
    add_boundary_node(1, Node_pt[node_count]);
    add_boundary_node(2, Node_pt[node_count]);
 
    // Set the intrinsic coordinate on the boundary 1
    zeta[0] = Xi_hi + 0.5 * (s[0] + 1.0) * (1.0 - Fract_mid) * (Xi_lo - Xi_hi);
    Node_pt[node_count]->set_coordinates_on_boundary(1, zeta);
 
 
    // Increment the node number
    node_count++;
 
    // Rest of top row is on boundary 1 only:
    //---------------------------------------
    for (unsigned l1 = 1; l1 < n_p - 1; l1++)
    {
      // Local node number
      unsigned jnod_local = n_p * (n_p - 1) + l1;
 
      // Create the node
      Node_pt[node_count] = finite_element_pt(2)->construct_boundary_node(
        jnod_local, time_stepper_pt);
 
      // Set the pointer from the element to the node
      finite_element_pt(2)->node_pt(jnod_local) = Node_pt[node_count];
 
      // Set the position of the node
      s[0] = -1.0 + 2.0 * double(l1) / double(n_p - 1);
      s[1] = 1.0;
      Domain_pt->macro_element_pt(2)->macro_map(s, r);
      Node_pt[node_count]->x(0) = r[0];
      Node_pt[node_count]->x(1) = r[1];
 
      // Add the node to the boundary
      add_boundary_node(1, Node_pt[node_count]);
 
      // Set the intrinsic coordinate on the boundary 1
      zeta[0] =
        Xi_hi + 0.5 * (s[0] + 1.0) * (1.0 - Fract_mid) * (Xi_lo - Xi_hi);
      Node_pt[node_count]->set_coordinates_on_boundary(1, zeta);
 
      // Increment the node number
      node_count++;
    }
 
    // Loop over all elements and set macro element pointer
    // to enable MacroElement-based node update
    unsigned n_element = this->nelement();
    for (unsigned e = 0; e < n_element; e++)
    {
      // Get pointer to full element type
      ELEMENT* el_pt = dynamic_cast<ELEMENT*>(this->element_pt(e));
 
      // Set pointer to macro element
      el_pt->set_macro_elem_pt(this->Domain_pt->macro_element_pt(e));
    }
 
    // Setup boundary element lookup schemes
    setup_boundary_element_info();
  }

References oomph::Mesh::add_boundary_node(), oomph::Mesh::Boundary_coordinate_exists, oomph::FiniteElement::construct_boundary_node(), oomph::FiniteElement::construct_node(), oomph::QuarterCircleSectorMesh< ELEMENT >::Domain_pt, e(), oomph::Mesh::Element_pt, oomph::Mesh::element_pt(), oomph::Mesh::finite_element_pt(), oomph::QuarterCircleSectorMesh< ELEMENT >::Fract_mid, oomph::Domain::macro_element_pt(), oomph::MacroElement::macro_map(), oomph::Mesh::nelement(), oomph::FiniteElement::node_pt(), oomph::Mesh::Node_pt, UniformPSDSelfTest::r, s, oomph::Mesh::set_nboundary(), oomph::QuadMeshBase::setup_boundary_element_info(), oomph::QuarterCircleSectorMesh< ELEMENT >::wall_pt(), oomph::QuarterCircleSectorMesh< ELEMENT >::Xi_hi, oomph::QuarterCircleSectorMesh< ELEMENT >::Xi_lo, and Eigen::zeta().

~QuarterCircleSectorMesh()

template<class ELEMENT >

virtual oomph::QuarterCircleSectorMesh< ELEMENT >::~QuarterCircleSectorMesh ( )

inlinevirtual

Destructor:

{}

Member Function Documentation

bl_squash_fct_pt()

template<class ELEMENT >

QuarterCircleSectorDomain::BLSquashFctPt& oomph::QuarterCircleSectorMesh< ELEMENT >::bl_squash_fct_pt ( )

inline

Function pointer for function that squashes the outer two macro elements towards the wall by mapping the input value of the "radial" macro element coordinate to the return value (defined in the underlying Domain object)

    {
      return Domain_pt->bl_squash_fct_pt();
    }

References oomph::QuarterCircleSectorDomain::bl_squash_fct_pt(), and oomph::QuarterCircleSectorMesh< ELEMENT >::Domain_pt.

domain_pt()

template<class ELEMENT >

QuarterCircleSectorDomain* oomph::QuarterCircleSectorMesh< ELEMENT >::domain_pt ( )

inline

Access function to domain.

    {
      return Domain_pt;
    }

References oomph::QuarterCircleSectorMesh< ELEMENT >::Domain_pt.

Referenced by oomph::MacroElementNodeUpdateRefineableQuarterCircleSectorMesh< ELEMENT >::setup_macro_element_node_update().

wall_pt()

template<class ELEMENT >

GeomObject*& oomph::QuarterCircleSectorMesh< ELEMENT >::wall_pt ( )

inline

Access function to GeomObject representing wall.

    {
      return Wall_pt;
    }

References oomph::QuarterCircleSectorMesh< ELEMENT >::Wall_pt.

Referenced by oomph::AlgebraicRefineableQuarterCircleSectorMesh< ELEMENT >::AlgebraicRefineableQuarterCircleSectorMesh(), and oomph::QuarterCircleSectorMesh< ELEMENT >::QuarterCircleSectorMesh().

Member Data Documentation

Domain_pt

template<class ELEMENT >

QuarterCircleSectorDomain* oomph::QuarterCircleSectorMesh< ELEMENT >::Domain_pt

protected

Pointer to Domain.

Referenced by oomph::QuarterCircleSectorMesh< ELEMENT >::bl_squash_fct_pt(), oomph::QuarterCircleSectorMesh< ELEMENT >::domain_pt(), and oomph::QuarterCircleSectorMesh< ELEMENT >::QuarterCircleSectorMesh().

Fract_mid

template<class ELEMENT >

double oomph::QuarterCircleSectorMesh< ELEMENT >::Fract_mid

protected

Fraction along wall where outer ring is to be divided.

Referenced by oomph::QuarterCircleSectorMesh< ELEMENT >::QuarterCircleSectorMesh().

Wall_pt

template<class ELEMENT >

GeomObject* oomph::QuarterCircleSectorMesh< ELEMENT >::Wall_pt

protected

Pointer to the geometric object that represents the curved wall (mesh boundary 1)

Referenced by oomph::MacroElementNodeUpdateRefineableQuarterCircleSectorMesh< ELEMENT >::setup_macro_element_node_update(), and oomph::QuarterCircleSectorMesh< ELEMENT >::wall_pt().

Xi_hi

template<class ELEMENT >

double oomph::QuarterCircleSectorMesh< ELEMENT >::Xi_hi

protected

Upper limit for the (1D) coordinates along the wall.

Referenced by oomph::QuarterCircleSectorMesh< ELEMENT >::QuarterCircleSectorMesh().

Xi_lo

template<class ELEMENT >

double oomph::QuarterCircleSectorMesh< ELEMENT >::Xi_lo

protected

Lower limit for the (1D) coordinates along the wall.

Referenced by oomph::QuarterCircleSectorMesh< ELEMENT >::QuarterCircleSectorMesh().

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

• quarter_circle_sector_mesh.template.h
• quarter_circle_sector_mesh.template.cc