AlgebraicMesh version of RefineableQuarterTubeMesh. More...

#include <quarter_tube_mesh.template.h>

Inheritance diagram for oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >:

Public Member Functions
	AlgebraicRefineableQuarterTubeMesh (GeomObject wall_pt, const Vector< double > &xi_lo, const double &fract_mid, const Vector< double > &xi_hi, const unsigned &nlayer, const double centre_box_size=1.0, TimeStepper time_stepper_pt=&Mesh::Default_TimeStepper)

unsigned	self_test ()
	Run self-test for algebraic mesh – return 0/1 for OK/failure. More...

QuarterTubeDomain::AxialSpacingFctPt &	axial_spacing_fct_pt ()

void	node_update (const bool &update_all_solid_nodes=false)

void	algebraic_node_update (const unsigned &t, AlgebraicNode *&node_pt)

void	update_node_update (AlgebraicNode *&node_pt)

Public Member Functions inherited from oomph::AlgebraicMesh
	AlgebraicMesh ()

	AlgebraicMesh (const AlgebraicMesh &)=delete
	Broken copy constructor. More...

	~AlgebraicMesh ()
	Broken assignment operator. More...

AlgebraicNode *	node_pt (const unsigned long &n)
	Return a pointer to the n-th global AlgebraicNode. More...

unsigned	self_test ()
	Self test: check consistentency of multiple node updates. More...

void	add_geom_object_list_pt (GeomObject *geom_object_pt)

unsigned	ngeom_object_list_pt ()
	Return number of geometric objects associated with AlgebraicMesh. More...

GeomObject *	geom_object_list_pt (const unsigned &i)
	Access function to the ith GeomObject. More...

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	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...

Public Member Functions inherited from oomph::RefineableQuarterTubeMesh< ELEMENT >
	RefineableQuarterTubeMesh (GeomObject wall_pt, const Vector< double > &xi_lo, const double &fract_mid, const Vector< double > &xi_hi, const unsigned &nlayer, TimeStepper time_stepper_pt=&Mesh::Default_TimeStepper)

virtual	~RefineableQuarterTubeMesh ()
	Destructor: empty. More...

Public Member Functions inherited from oomph::QuarterTubeMesh< ELEMENT >
	QuarterTubeMesh (GeomObject wall_pt, const Vector< double > &xi_lo, const double &fract_mid, const Vector< double > &xi_hi, const unsigned &nlayer, TimeStepper time_stepper_pt=&Mesh::Default_TimeStepper)

virtual	~QuarterTubeMesh ()
	Destructor: empty. More...

GeomObject *&	wall_pt ()
	Access function to GeomObject representing wall. More...

QuarterTubeDomain *	domain_pt ()
	Access function to domain. More...

QuarterTubeDomain::BLSquashFctPt &	bl_squash_fct_pt ()

QuarterTubeDomain *	domain_pt () const
	Access function to underlying domain. More...

Public Member Functions inherited from oomph::BrickMeshBase
	BrickMeshBase ()
	Constructor (empty) More...

	BrickMeshBase (const BrickMeshBase &)=delete
	Broken copy constructor. More...

virtual	~BrickMeshBase ()
	Broken assignment operator. More...

void	setup_boundary_element_info ()

void	setup_boundary_element_info (std::ostream &outfile)

Public Member Functions inherited from oomph::RefineableBrickMesh< ELEMENT >
	RefineableBrickMesh ()
	Constructor: Setup static octree data. More...

	RefineableBrickMesh (const RefineableBrickMesh &dummy)=delete
	Broken copy constructor. More...

void	operator= (const RefineableBrickMesh &)=delete
	Broken assignment operator. More...

virtual	~RefineableBrickMesh ()
	Destructor: More...

virtual void	setup_tree_forest ()

void	setup_octree_forest ()
	Do what it says... More...

Public Member Functions inherited from oomph::TreeBasedRefineableMesh< ELEMENT >
	TreeBasedRefineableMesh ()
	Constructor, call the constructor of the base class. More...

	TreeBasedRefineableMesh (const TreeBasedRefineableMesh &dummy)=delete
	Broken copy constructor. More...

virtual	~TreeBasedRefineableMesh ()
	Empty virtual destructor. More...

Public Member Functions inherited from oomph::TreeBasedRefineableMeshBase
	TreeBasedRefineableMeshBase ()
	Constructor. More...

	TreeBasedRefineableMeshBase (const TreeBasedRefineableMeshBase &dummy)=delete
	Broken copy constructor. More...

void	operator= (const TreeBasedRefineableMeshBase &)=delete
	Broken assignment operator. More...

virtual	~TreeBasedRefineableMeshBase ()
	Empty Destructor: More...

void	adapt (const Vector< double > &elemental_error)

void	p_adapt (const Vector< double > &elemental_error)

void	refine_uniformly (DocInfo &doc_info)
	Refine mesh uniformly and doc process. More...

void	refine_uniformly ()
	Refine mesh uniformly. More...

void	p_refine_uniformly (DocInfo &doc_info)
	p-refine mesh uniformly and doc process More...

void	p_refine_uniformly ()
	p-refine mesh uniformly More...

unsigned	unrefine_uniformly ()

void	p_unrefine_uniformly (DocInfo &doc_info)
	p-unrefine mesh uniformly More...

TreeForest *	forest_pt ()
	Return pointer to the Forest represenation of the mesh. More...

void	doc_adaptivity_targets (std::ostream &outfile)
	Doc the targets for mesh adaptation. More...

unsigned &	max_refinement_level ()
	Access fct for max. permissible refinement level (relative to base mesh) More...

unsigned &	min_refinement_level ()
	Access fct for min. permissible refinement level (relative to base mesh) More...

unsigned &	max_p_refinement_level ()

unsigned &	min_p_refinement_level ()

virtual void	adapt_mesh (DocInfo &doc_info)

virtual void	adapt_mesh ()

void	p_adapt_mesh (DocInfo &doc_info)

void	p_adapt_mesh ()

virtual void	refine_selected_elements (const Vector< unsigned > &elements_to_be_refined)

virtual void	refine_selected_elements (const Vector< RefineableElement * > &elements_to_be_refined)

void	p_refine_selected_elements (const Vector< unsigned > &elements_to_be_refined)
	p-refine mesh by refining the elements identified by their numbers. More...

void	p_refine_selected_elements (const Vector< PRefineableElement * > &elements_to_be_refined_pt)
	p-refine mesh by refining the elements identified by their pointers. More...

virtual void	refine_base_mesh_as_in_reference_mesh (TreeBasedRefineableMeshBase *const &ref_mesh_pt)
	Refine to same degree as the reference mesh. More...

virtual bool	refine_base_mesh_as_in_reference_mesh_minus_one (TreeBasedRefineableMeshBase *const &ref_mesh_pt)

virtual void	refine_as_in_reference_mesh (TreeBasedRefineableMeshBase *const &ref_mesh_pt)

virtual void	get_refinement_levels (unsigned &min_refinement_level, unsigned &max_refinement_level)
	Get max/min refinement levels in mesh. More...

virtual void	get_elements_at_refinement_level (unsigned &refinement_level, Vector< RefineableElement * > &level_elements)

virtual void	get_refinement_pattern (Vector< Vector< unsigned >> &to_be_refined)

void	refine_base_mesh (Vector< Vector< unsigned >> &to_be_refined)
	Refine base mesh according to specified refinement pattern. More...

virtual void	refine (std::ifstream &restart_file)
	Refine mesh according to refinement pattern in restart file. More...

virtual void	dump_refinement (std::ostream &outfile)
	Dump refinement pattern to allow for rebuild. More...

virtual void	read_refinement (std::ifstream &restart_file, Vector< Vector< unsigned >> &to_be_refined)
	Read refinement pattern to allow for rebuild. More...

unsigned	uniform_refinement_level_when_pruned () const

unsigned &	uniform_refinement_level_when_pruned ()
	Level to which the mesh was uniformly refined when it was pruned. More...

Public Member Functions inherited from oomph::RefineableMeshBase
bool	adapt_flag ()

	RefineableMeshBase ()

	RefineableMeshBase (const RefineableMeshBase &dummy)=delete
	Broken copy constructor. More...

void	operator= (const RefineableMeshBase &)=delete
	Broken assignment operator. More...

virtual	~RefineableMeshBase ()
	Empty Destructor: More...

unsigned	nrefined ()
	Access fct for number of elements that were refined. More...

unsigned	nunrefined ()
	Access fct for number of elements that were unrefined. More...

unsigned &	nrefinement_overruled ()

unsigned &	max_keep_unrefined ()

ErrorEstimator *&	spatial_error_estimator_pt ()
	Access to spatial error estimator. More...

ErrorEstimator *	spatial_error_estimator_pt () const
	Access to spatial error estimator (const version. More...

double &	min_permitted_error ()

double &	max_permitted_error ()

double &	min_error ()

double &	max_error ()

DocInfo *&	doc_info_pt ()
	Access fct for pointer to DocInfo. More...

void	enable_adaptation ()
	Enable adaptation. More...

void	disable_adaptation ()
	Disable adaptation. More...

void	enable_p_adaptation ()
	Enable adaptation. More...

void	disable_p_adaptation ()
	Disable adaptation. More...

void	enable_additional_synchronisation_of_hanging_nodes ()
	Enable additional synchronisation of hanging nodes. More...

void	disable_additional_synchronisation_of_hanging_nodes ()
	Disable additional synchronisation of hanging nodes. More...

bool	is_adaptation_enabled () const
	Return whether the mesh is to be adapted. More...

bool	is_p_adaptation_enabled () const
	Return whether the mesh is to be adapted. More...

bool	is_additional_synchronisation_of_hanging_nodes_disabled () const
	Return whether additional synchronisation is enabled. More...

DocInfo	doc_info ()
	Access fct for DocInfo. More...

void	p_unrefine_uniformly (DocInfo &doc_info)
	p-unrefine mesh uniformly More...

Private Types
enum	{ Central_region , Lower_right_region , Upper_left_region }
	Remesh function ids. More...

Private Member Functions
void	node_update_central_region (const unsigned &t, AlgebraicNode *&node_pt)

void	node_update_lower_right_region (const unsigned &t, AlgebraicNode *&node_pt)

void	node_update_upper_left_region (const unsigned &t, AlgebraicNode *&node_pt)

void	setup_algebraic_node_update ()
	Setup algebraic update operation for all nodes. More...

void	update_node_update_in_region (AlgebraicNode *&node_pt, int &region_id)

Private Attributes
double	Centre_box_size
	Size of centre box. More...

double	Lambda_x
	Fractional width of central region. More...

double	Lambda_y
	Fractional height of central region. 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...

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 Member Functions inherited from oomph::TreeBasedRefineableMeshBase
void	complete_hanging_nodes (const int &ncont_interpolated_values)
	Complete the hanging node scheme recursively. More...

void	complete_hanging_nodes_recursively (Node &nod_pt, Vector< Node > &master_nodes, Vector< double > &hang_weights, const int &ival)
	Auxiliary routine for recursive hanging node completion. 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

Protected Attributes inherited from oomph::QuarterTubeMesh< ELEMENT >
QuarterTubeDomain *	Domain_pt
	Pointer to domain. More...

GeomObject *	Wall_pt
	Pointer to the geometric object that represents the curved wall. More...

Vector< double >	Xi_lo
	Lower limits for the coordinates along the wall. More...

double	Fract_mid
	Fraction along wall where outer ring is to be divided. More...

Vector< double >	Xi_hi
	Upper limits for the coordinates along the wall. More...

Protected Attributes inherited from oomph::TreeBasedRefineableMeshBase
unsigned	Uniform_refinement_level_when_pruned
	Level to which the mesh was uniformly refined when it was pruned. More...

unsigned	Max_refinement_level
	Max. permissible refinement level (relative to base mesh) More...

unsigned	Min_refinement_level
	Min. permissible refinement level (relative to base mesh) More...

unsigned	Max_p_refinement_level
	Max. permissible p-refinement level (relative to base mesh) More...

unsigned	Min_p_refinement_level
	Min. permissible p-refinement level (relative to base mesh) More...

TreeForest *	Forest_pt
	Forest representation of the mesh. More...

Protected Attributes inherited from oomph::RefineableMeshBase
ErrorEstimator *	Spatial_error_estimator_pt
	Pointer to spatial error estimator. More...

double	Max_permitted_error
	Max. error (i.e. split elements if their error is larger) More...

double	Min_permitted_error
	Min. error (i.e. (try to) merge elements if their error is smaller) More...

double	Min_error
	Min.actual error. More...

double	Max_error
	Max. actual error. More...

unsigned	Nrefined
	Stats: Number of elements that were refined. More...

unsigned	Nunrefined
	Stats: Number of elements that were unrefined. More...

bool	Adapt_flag
	Flag that requests adaptation. More...

bool	P_adapt_flag
	Flag that requests p-adaptation. More...

bool	Additional_synchronisation_of_hanging_nodes_not_required
	Flag that disables additional synchronisation of hanging nodes. More...

DocInfo *	Doc_info_pt
	Pointer to DocInfo. More...

unsigned	Max_keep_unrefined

unsigned	Nrefinement_overruled

Detailed Description

template<class ELEMENT>
class oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >

AlgebraicMesh version of RefineableQuarterTubeMesh.

Algebraic 3D quarter tube mesh class.

The mesh boundaries are numbered as follows:

Boundary 0: "Inflow" cross section; located along the line parametrised by \( \xi_0 = \xi_0^{lo} \) on the geometric object that specifies the wall.
Boundary 1: Plane x=0
Boundary 2: Plane y=0
Boundary 3: The curved wall - specified by the GeomObject passed to the mesh constructor.
Boundary 4: "Outflow" cross section; located along the line parametrised by \( \xi_0 = \xi_0^{hi} \) on the geometric object that specifies the wall. Algebraic version of RefineableQuarterTubeMesh

Cross section through mesh looking along tube.........

                 ---___
                |      ---____
                |              -   BOUNDARY 3
                |                /
                |  [Region 2]   /  |
                |              /     |
                | N           /        |
                | |_ E       /          |
  BOUNDARY 1    |------------            |
                |            |            |
                | [Region 0] | [Region 1] |  ^
                |            |            | / \  direction of
                | N          |    N       |  |   2nd Lagrangian
                | |_ E       |    |_ E    |  |   coordinate
                |____________|____________|  |   along wall GeomObject

                      BOUNDARY 2

The Domain is built of slices each consisting of three MacroElements as sketched. 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. The positive s_2 direction points down the tube.

Elements need to be derived from AlgebraicElementBase. In addition to the refinement procedures available for the RefineableQuarterTubeMesh which forms the basis for this mesh, three algebraic node update functions are implemented for the nodes in the three regions defined by the Domain MacroElements. Note: it is assumed the cross section down the tube is uniform when setup_algebraic_node_update() is called.

Member Enumeration Documentation

◆ anonymous enum

template<class ELEMENT >

anonymous enum

private

Remesh function ids.

Enumerator
Central_region
Lower_right_region
Upper_left_region

     {
       Central_region,
       Lower_right_region,
       Upper_left_region
     };

Constructor & Destructor Documentation

◆ AlgebraicRefineableQuarterTubeMesh()

template<class ELEMENT >

oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::AlgebraicRefineableQuarterTubeMesh	(	GeomObject *	wall_pt,
		const Vector< double > &	xi_lo,
		const double &	fract_mid,
		const Vector< double > &	xi_hi,
		const unsigned &	nlayer,
		const double	centre_box_size = `1.0`,
		TimeStepper *	time_stepper_pt = `&Mesh::Default_TimeStepper`
	)

inline

Constructor: Pass pointer to geometric object, start and end coordinates of the geometric object and the fraction along the 2nd Lagrangian coordinate at which the dividing line between region 1 and region 2 is to be placed, and timestepper (defaults to (Steady) default timestepper defined in Mesh). Sets up the refineable mesh (by calling the constructor for the underlying RefineableQuarterTubeMesh).

       : QuarterTubeMesh<ELEMENT>(
           wall_pt, xi_lo, fract_mid, xi_hi, nlayer, time_stepper_pt),
         RefineableQuarterTubeMesh<ELEMENT>(
           wall_pt, xi_lo, fract_mid, xi_hi, nlayer, time_stepper_pt),
         Centre_box_size(centre_box_size)
     {
 #ifdef PARANOID
       ELEMENT* el_pt = new ELEMENT;
       if (dynamic_cast<AlgebraicElementBase*>(el_pt) == 0)
       {
         std::ostringstream error_message;
  
         error_message << "Base class for ELEMENT in "
                       << "AlgebraicRefineableQuarterTubeMesh needs"
                       << "to be of type AlgebraicElement!\n";
         error_message << "Whereas it is: typeid(el_pt).name()"
                       << typeid(el_pt).name() << std::endl;
  
         std::string function_name = " AlgebraicRefineableQuarterTubeMesh::\n";
         function_name += "AlgebraicRefineableQuarterTubeMesh()";
  
         throw OomphLibError(error_message.str(),
                             OOMPH_CURRENT_FUNCTION,
                             OOMPH_EXCEPTION_LOCATION);
       }
       delete el_pt;
 #endif
  
       // Add the geometric object to the list associated with this AlgebraicMesh
       AlgebraicMesh::add_geom_object_list_pt(wall_pt);
  
       // Setup algebraic node update operations
       setup_algebraic_node_update();
  
       // Ensure nodes are in their default position
       node_update();
     }

References oomph::AlgebraicMesh::add_geom_object_list_pt(), plotDoE::name, oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::node_update(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::setup_algebraic_node_update(), oomph::Global_string_for_annotation::string(), and oomph::QuarterTubeMesh< ELEMENT >::wall_pt().

Member Function Documentation

◆ algebraic_node_update()

template<class ELEMENT >

void oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::algebraic_node_update	(	const unsigned &	t,
		AlgebraicNode *&	node_pt
	)

inlinevirtual

Implement the algebraic node update function for a node at time level t (t=0: present; t>0: previous): Update with the node's first (default) update function.

Implements oomph::AlgebraicMesh.

     {
       // Update with the update function for the node's first (default)
       // node update fct
       unsigned id = node_pt->node_update_fct_id();
  
       switch (id)
       {
         case Central_region:
  
           // Central region
           node_update_central_region(t, node_pt);
           break;
  
         case Lower_right_region:
  
           // Lower right region
           node_update_lower_right_region(t, node_pt);
           break;
  
         case Upper_left_region:
  
           // Upper left region
           node_update_upper_left_region(t, node_pt);
           break;
  
         default:
  
           std::ostringstream error_message;
           error_message << "The node update fct id is " << id
                         << ", but it should only be one of " << Central_region
                         << ", " << Lower_right_region << " or "
                         << Upper_left_region << std::endl;
           std::string function_name = " AlgebraicRefineableQuarterTubeMesh::";
           function_name += "algebraic_node_update()";
  
           throw OomphLibError(error_message.str(),
                               OOMPH_CURRENT_FUNCTION,
                               OOMPH_EXCEPTION_LOCATION);
       }
     }

References oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::Central_region, oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::Lower_right_region, oomph::AlgebraicMesh::node_pt(), oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::node_update_central_region(), oomph::AlgebraicNode::node_update_fct_id(), oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::node_update_lower_right_region(), oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::node_update_upper_left_region(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::Global_string_for_annotation::string(), plotPSD::t, and oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::Upper_left_region.

◆ axial_spacing_fct_pt()

template<class ELEMENT >

QuarterTubeDomain::AxialSpacingFctPt& oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::axial_spacing_fct_pt ( )

inlinevirtual

Broken version of the QuarterTubeDomain function Function is broken because axial spacing isn't implemented yet for the Algebraic version of the RefineableQuarterTubeMesh. Note: this function must be used BEFORE algebraic_node_update(...) is called.

Reimplemented from oomph::QuarterTubeMesh< ELEMENT >.

     {
       std::ostringstream error_message;
       error_message << "AxialSpacingFctPt has not been implemented "
                     << "for the AlgebraicRefineableQuarterTubeMesh\n";
  
       std::string function_name =
         " AlgebraicRefineableQuarterTubeMesh::AxialSpacingFctPt()";
  
       throw OomphLibError(
         error_message.str(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION);
  
       return this->Domain_pt->axial_spacing_fct_pt();
     }

References oomph::QuarterTubeDomain::axial_spacing_fct_pt(), oomph::QuarterTubeMesh< ELEMENT >::Domain_pt, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::Global_string_for_annotation::string().

◆ node_update()

template<class ELEMENT >

void oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::node_update ( const bool & update_all_solid_nodes = false )

inlinevirtual

Resolve mesh update: Update current nodal positions via algebraic node update. [Doesn't make sense to use this mesh with SolidElements anyway, so we buffer the case if update_all_solid_nodes is set to true.]

Reimplemented from oomph::AlgebraicMesh.

     {
 #ifdef PARANOID
       if (update_all_solid_nodes)
       {
         std::string error_message =
           "Doesn't make sense to use an AlgebraicMesh with\n";
         error_message +=
           "SolidElements so specifying update_all_solid_nodes=true\n";
         error_message += "doesn't make sense either\n";
  
         std::string function_name = " AlgebraicRefineableQuarterTubeMesh::";
         function_name += "node_update()";
  
         throw OomphLibError(
           error_message, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION);
       }
 #endif
  
       AlgebraicMesh::node_update();
     }

References oomph::AlgebraicMesh::node_update(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::Global_string_for_annotation::string().

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

◆ node_update_central_region()

template<class ELEMENT >

void oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::node_update_central_region	(	const unsigned &	t,
		AlgebraicNode *&	node_pt
	)

private

Algebraic update function for a node that is located in the central region

Algebraic update function: Update in central region according to wall shape at time level t (t=0: present; t>0: previous)

   {
 #ifdef PARANOID
     // We're updating the nodal positions (!) at time level t
     // and determine them by evaluating the wall GeomObject's
     // position at that time level. I believe this only makes sense
     // if the t-th history value in the positional timestepper
     // actually represents previous values (rather than some
     // generalised quantity). Hence if this function is called with
     // t>nprev_values(), we issue a warning and terminate the execution.
     // It *might* be possible that the code still works correctly
     // even if this condition is violated (e.g. if the GeomObject's
     // position() function returns the appropriate "generalised"
     // position value that is required by the timestepping scheme but it's
     // probably worth flagging this up and forcing the user to manually switch
     // off this warning if he/she is 100% sure that this is kosher.
     if (t > node_pt->position_time_stepper_pt()->nprev_values())
     {
       std::string error_message =
         "Trying to update the nodal position at a time level\n";
       error_message += "beyond the number of previous values in the nodes'\n";
       error_message += "position timestepper. This seems highly suspect!\n";
       error_message += "If you're sure the code behaves correctly\n";
       error_message += "in your application, remove this warning \n";
       error_message += "or recompile with PARNOID switched off.\n";
  
       std::string function_name = "AlgebraicRefineableQuarterTubeMesh::";
       function_name += "node_update_central_region()",
         throw OomphLibError(
           error_message, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION);
     }
 #endif
  
     // Extract references for update in central region by copy construction
     Vector<double> ref_value(node_pt->vector_ref_value(Central_region));
  
     // Extract geometric objects for update in central region by copy
     // construction
     Vector<GeomObject*> geom_object_pt(
       node_pt->vector_geom_object_pt(Central_region));
  
     // First reference value: fractional x-position of node inside region
     double rho_x = ref_value[0];
  
     // Second reference value: fractional y-position of node inside region
     double rho_y = ref_value[1];
  
     // Wall position in bottom right corner:
  
     // Pointer to GeomObject
     GeomObject* obj_br_pt = geom_object_pt[0];
  
     // Local coordinate at bottom-right reference point:
     Vector<double> s_br(2);
     s_br[0] = ref_value[3];
     s_br[1] = ref_value[4];
  
     // Get wall position
     unsigned n_dim = obj_br_pt->ndim();
     Vector<double> r_br(n_dim);
     obj_br_pt->position(t, s_br, r_br);
  
     // Wall position in top left corner:
  
     // Pointer to GeomObject
     GeomObject* obj_tl_pt = geom_object_pt[1];
  
     // Local coordinate:
     Vector<double> s_tl(2);
     s_tl[0] = ref_value[5];
     s_tl[1] = ref_value[6];
  
     // Get wall position
     Vector<double> r_tl(n_dim);
     obj_tl_pt->position(t, s_tl, r_tl);
  
     // Assign new nodal coordinate
     node_pt->x(t, 0) = r_br[0] * Lambda_x * rho_x;
     node_pt->x(t, 1) = r_tl[1] * Lambda_y * rho_y;
     node_pt->x(t, 2) = (r_br[2] + r_tl[2]) * 0.5;
   }

References oomph::GeomObject::ndim(), oomph::TimeStepper::nprev_values(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::GeomObject::position(), oomph::Node::position_time_stepper_pt(), oomph::Global_string_for_annotation::string(), plotPSD::t, oomph::AlgebraicNode::vector_geom_object_pt(), oomph::AlgebraicNode::vector_ref_value(), and oomph::Node::x().

Referenced by oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::algebraic_node_update().

◆ node_update_lower_right_region()

template<class ELEMENT >

void oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::node_update_lower_right_region	(	const unsigned &	t,
		AlgebraicNode *&	node_pt
	)

private

Algebraic update function for a node that is located in the lower-right region

Algebraic update function: Update in lower-right region according to wall shape at time level t (t=0: present; t>0: previous)

   {
 #ifdef PARANOID
     // We're updating the nodal positions (!) at time level t
     // and determine them by evaluating the wall GeomObject's
     // position at that gime level. I believe this only makes sense
     // if the t-th history value in the positional timestepper
     // actually represents previous values (rather than some
     // generalised quantity). Hence if this function is called with
     // t>nprev_values(), we issue a warning and terminate the execution.
     // It *might* be possible that the code still works correctly
     // even if this condition is violated (e.g. if the GeomObject's
     // position() function returns the appropriate "generalised"
     // position value that is required by the timestepping scheme but it's
     // probably worth flagging this up and forcing the user to manually switch
     // off this warning if he/she is 100% sure that this is kosher.
     if (t > node_pt->position_time_stepper_pt()->nprev_values())
     {
       std::string error_message =
         "Trying to update the nodal position at a time level";
       error_message += "beyond the number of previous values in the nodes'";
       error_message += "position timestepper. This seems highly suspect!";
       error_message += "If you're sure the code behaves correctly";
       error_message += "in your application, remove this warning ";
       error_message += "or recompile with PARNOID switched off.";
  
       std::string function_name = "AlgebraicRefineableQuarterTubeSectorMesh::";
       function_name += "node_update_lower_right_region()",
         throw OomphLibError(
           error_message, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION);
     }
 #endif
  
     // Extract references for update in lower-right region by copy construction
     Vector<double> ref_value(node_pt->vector_ref_value(Lower_right_region));
  
     // Extract geometric objects for update in lower-right region
     // by copy construction
     Vector<GeomObject*> geom_object_pt(
       node_pt->vector_geom_object_pt(Lower_right_region));
  
     // First reference value: fractional s0-position of node inside region
     double rho_0 = ref_value[0];
  
     // Use s_squashed to modify fractional s0 position
     rho_0 = this->Domain_pt->s_squashed(rho_0);
  
     // Second reference value: fractional s1-position of node inside region
     double rho_1 = ref_value[1];
  
     // Wall position in bottom right corner:
  
     // Pointer to GeomObject
     GeomObject* obj_br_pt = geom_object_pt[0];
  
     // Local coordinate
     Vector<double> s_br(2);
     s_br[0] = ref_value[3];
     s_br[1] = ref_value[4];
  
     // Eulerian dimension
     unsigned n_dim = obj_br_pt->ndim();
  
     // Get wall position
     Vector<double> r_br(n_dim);
     obj_br_pt->position(t, s_br, r_br);
  
     // Wall position in top left corner:
  
     // Pointer to GeomObject
     GeomObject* obj_tl_pt = geom_object_pt[1];
  
     // Local coordinate
     Vector<double> s_tl(2);
     s_tl[0] = ref_value[5];
     s_tl[1] = ref_value[6];
  
     Vector<double> r_tl(n_dim);
     obj_tl_pt->position(t, s_tl, r_tl);
  
     // Wall position at reference point:
  
     // Pointer to GeomObject
     GeomObject* obj_wall_pt = geom_object_pt[2];
  
     // Local coordinate
     Vector<double> s_wall(2);
     s_wall[0] = ref_value[7];
     s_wall[1] = ref_value[8];
  
     Vector<double> r_wall(n_dim);
     obj_wall_pt->position(t, s_wall, r_wall);
  
     // Position Vector to corner of the central region
     Vector<double> r_corner(n_dim);
     r_corner[0] = Lambda_x * r_br[0];
     r_corner[1] = Lambda_y * r_tl[1];
     r_corner[2] = (r_br[2] + r_tl[2]) * 0.5;
  
     // Position Vector to left edge of region
     Vector<double> r_left(n_dim);
     r_left[0] = r_corner[0];
     r_left[1] = rho_1 * r_corner[1];
     r_left[2] = r_corner[2];
  
     // Assign new nodal coordinate
     node_pt->x(t, 0) = r_left[0] + rho_0 * (r_wall[0] - r_left[0]);
     node_pt->x(t, 1) = r_left[1] + rho_0 * (r_wall[1] - r_left[1]);
     node_pt->x(t, 2) = r_left[2] + rho_0 * (r_wall[2] - r_left[2]);
   }

References oomph::GeomObject::ndim(), oomph::TimeStepper::nprev_values(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::GeomObject::position(), oomph::Node::position_time_stepper_pt(), oomph::Global_string_for_annotation::string(), plotPSD::t, oomph::AlgebraicNode::vector_geom_object_pt(), oomph::AlgebraicNode::vector_ref_value(), and oomph::Node::x().

Referenced by oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::algebraic_node_update().

◆ node_update_upper_left_region()

template<class ELEMENT >

void oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::node_update_upper_left_region	(	const unsigned &	t,
		AlgebraicNode *&	node_pt
	)

private

Algebraic update function for a node that is located in the upper-left region

Algebraic update function: Update in upper left region according to wall shape at time level t (t=0: present; t>0: previous)

   {
 #ifdef PARANOID
     // We're updating the nodal positions (!) at time level t
     // and determine them by evaluating the wall GeomObject's
     // position at that gime level. I believe this only makes sense
     // if the t-th history value in the positional timestepper
     // actually represents previous values (rather than some
     // generalised quantity). Hence if this function is called with
     // t>nprev_values(), we issue a warning and terminate the execution.
     // It *might* be possible that the code still works correctly
     // even if this condition is violated (e.g. if the GeomObject's
     // position() function returns the appropriate "generalised"
     // position value that is required by the timestepping scheme but it's
     // probably worth flagging this up and forcing the user to manually switch
     // off this warning if he/she is 100% sure that this is kosher.
     if (t > node_pt->position_time_stepper_pt()->nprev_values())
     {
       std::string error_message =
         "Trying to update the nodal position at a time level";
       error_message += "beyond the number of previous values in the nodes'";
       error_message += "position timestepper. This seems highly suspect!";
       error_message += "If you're sure the code behaves correctly";
       error_message += "in your application, remove this warning ";
       error_message += "or recompile with PARNOID switched off.";
  
       std::string function_name = "AlgebraicRefineableQuarterTubeMesh::";
       function_name += "node_update_upper_left_region()";
  
       throw OomphLibError(
         error_message, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION);
     }
 #endif
  
     // Extract references for update in upper-left region by copy construction
     Vector<double> ref_value(node_pt->vector_ref_value(Upper_left_region));
  
     // Extract geometric objects for update in upper-left region
     // by copy construction
     Vector<GeomObject*> geom_object_pt(
       node_pt->vector_geom_object_pt(Upper_left_region));
  
     // First reference value: fractional s0-position of node inside region
     double rho_0 = ref_value[0];
  
     // Second  reference value: fractional s1-position of node inside region
     double rho_1 = ref_value[1];
  
     // Use s_squashed to modify fractional s1 position
     rho_1 = this->Domain_pt->s_squashed(rho_1);
  
     // Wall position in bottom right corner:
  
     // Pointer to GeomObject
     GeomObject* obj_br_pt = geom_object_pt[0];
  
     // Eulerian dimension
     unsigned n_dim = obj_br_pt->ndim();
  
     // Local coordinate
     Vector<double> s_br(2);
     s_br[0] = ref_value[3];
     s_br[1] = ref_value[4];
  
     // Get wall position
     Vector<double> r_br(n_dim);
     obj_br_pt->position(t, s_br, r_br);
  
     // Wall position in top left corner:
  
     // Pointer to GeomObject
     GeomObject* obj_tl_pt = node_pt->geom_object_pt(1);
  
     // Local coordinate
     Vector<double> s_tl(2);
     s_tl[0] = ref_value[5];
     s_tl[1] = ref_value[6];
  
     Vector<double> r_tl(n_dim);
     obj_tl_pt->position(t, s_tl, r_tl);
  
     // Wall position at reference point:
  
     // Pointer to GeomObject
     GeomObject* obj_wall_pt = node_pt->geom_object_pt(2);
  
     // Local coordinate
     Vector<double> s_wall(2);
     s_wall[0] = ref_value[7];
     s_wall[1] = ref_value[8];
  
     Vector<double> r_wall(n_dim);
     obj_wall_pt->position(t, s_wall, r_wall);
  
     // Position vector to corner of the central region
     Vector<double> r_corner(n_dim);
     r_corner[0] = Lambda_x * r_br[0];
     r_corner[1] = Lambda_y * r_tl[1];
     r_corner[2] = (r_br[2] + r_tl[2]) * 0.5;
  
     // Position Vector to top face of central region
     Vector<double> r_top(n_dim);
     r_top[0] = rho_0 * r_corner[0];
     r_top[1] = r_corner[1];
     r_top[2] = r_corner[2];
  
     // Assign new nodal coordinate
     node_pt->x(t, 0) = r_top[0] + rho_1 * (r_wall[0] - r_top[0]);
     node_pt->x(t, 1) = r_top[1] + rho_1 * (r_wall[1] - r_top[1]);
     node_pt->x(t, 2) = r_top[2] + rho_1 * (r_wall[2] - r_top[2]);
   }

References oomph::AlgebraicNode::geom_object_pt(), oomph::GeomObject::ndim(), oomph::TimeStepper::nprev_values(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::GeomObject::position(), oomph::Node::position_time_stepper_pt(), oomph::Global_string_for_annotation::string(), plotPSD::t, oomph::AlgebraicNode::vector_geom_object_pt(), oomph::AlgebraicNode::vector_ref_value(), and oomph::Node::x().

Referenced by oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::algebraic_node_update().

◆ self_test()

template<class ELEMENT >

unsigned oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::self_test ( )

inline

Run self-test for algebraic mesh – return 0/1 for OK/failure.

     {
       return AlgebraicMesh::self_test();
     }

References oomph::AlgebraicMesh::self_test().

◆ setup_algebraic_node_update()

template<class ELEMENT >

void oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::setup_algebraic_node_update

private

Setup algebraic update operation for all nodes.

//////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// Setup algebraic node update data, based on 3 regions, each undergoing a different node update strategy. These regions are defined by the three MacroElements in each of the nlayer slices of the QuarterTubeDomain used to build the mesh. The Mesh is suspended from the ‘wall’ GeomObject pointed to by wall_pt. The lower right edge of the mesh is located at the wall's coordinate xi[1]==xi_lo[1], the upper left edge at xi[1]=xi_hi[1], i.e. a view looking down the tube length. The dividing line between the two outer regions is located at the fraction fract_mid between these two coordinates. Node updating strategy:

the starting cross sectional shape along the tube length is assumed to be uniform
the cross sectional shape of the central region remains rectangular; the position of its top right corner is located at a fixed fraction of the starting width and height of the domain measured at xi[1]==xi_lo[1] and xi[1]==xi_hi[1] respectively. Nodes in this region are located at fixed horizontal and vertical fractions of the region.
Nodes in the two outer regions (bottom right and top left) are located on straight lines running from the edges of the central region to the outer wall.

   {
 #ifdef PARANOID
     AlgebraicElementBase* algebraic_element_pt =
       dynamic_cast<AlgebraicElementBase*>(Mesh::element_pt(0));
  
     if (algebraic_element_pt == 0)
     {
       std::ostringstream error_message;
       error_message
         << "Element in AlgebraicRefineableQuarterTubeMesh must be\n ";
       error_message << "derived from AlgebraicElementBase\n";
       error_message << "but it is of type:  "
                     << typeid(Mesh::element_pt(0)).name() << std::endl;
       std::string function_name = "AlgebraicRefineableQuarterTubeMesh::";
       function_name += "setup_algebraic_node_update()";
       throw OomphLibError(
         error_message.str(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION);
     }
 #endif
  
     // Find number of nodes in an element from the zeroth element
     unsigned nnodes_3d = Mesh::finite_element_pt(0)->nnode();
  
     // also find number of nodes in 1d line and 2d slice
     unsigned nnodes_1d = Mesh::finite_element_pt(0)->nnode_1d();
     unsigned nnodes_2d = nnodes_1d * nnodes_1d;
  
     // find node number of a top-left and a bottom-right node in an element
     // (orientation: looking down tube)
     unsigned tl_node = nnodes_2d - nnodes_1d;
     unsigned br_node = nnodes_1d - 1;
  
     // find x & y distances to top-right node in element 0 - this is the same
     // node as the top-left node of element 1
     double x_c_element = Mesh::finite_element_pt(1)->node_pt(tl_node)->x(0);
     double y_c_element = Mesh::finite_element_pt(1)->node_pt(tl_node)->x(1);
  
     // Get x-distance to bottom-right edge of wall, i.e. coord of node
     // at bottom-right of bottom-right of element 1
     double x_wall = Mesh::finite_element_pt(1)->node_pt(br_node)->x(0);
  
     // Get y-distance to top-left edge of wall, i.e. coord of node
     // at top-left of element 2
     double y_wall = Mesh::finite_element_pt(2)->node_pt(tl_node)->x(1);
  
     // Establish fractional widths in central region
     Lambda_x = Centre_box_size * x_c_element / x_wall;
     Lambda_y = Centre_box_size * y_c_element / y_wall;
  
     // how many elements are there?
     unsigned nelements = Mesh::nelement();
  
     // loop through the elements
     for (unsigned e = 0; e < nelements; e++)
     {
       // get pointer to element
       FiniteElement* el_pt = Mesh::finite_element_pt(e);
  
       // set region id
       unsigned region_id = e % 3;
  
       // find the first node for which to set up node update info - must
       // bypass the first nnodes_2d nodes after the first 3 elements
       unsigned nstart = nnodes_2d;
       if (e < 3)
       {
         nstart = 0;
       }
  
       // loop through the nodes,
       for (unsigned n = nstart; n < nnodes_3d; n++)
       {
         // find z coordinate of node
         // NOTE: to implement axial spacing replace z by z_spaced where
         // z_spaced=axial_spacing_fct(z) when finding the GeomObjects
         // and local coords below
         // BUT store z as the third reference value since this is the value
         // required by update_node_update()
         double z = el_pt->node_pt(n)->x(2);
  
         // Find wall GeomObject and the GeomObject local coordinates
         // at bottom-right edge of wall
         Vector<double> xi(2);
         xi[0] = z;
         xi[1] = QuarterTubeMesh<ELEMENT>::Xi_lo[1];
         GeomObject* obj_br_pt;
         Vector<double> s_br(2);
         this->Wall_pt->locate_zeta(xi, obj_br_pt, s_br);
  
         // Find wall GeomObject/local coordinate
         // at top-left edge of wall
         xi[1] = QuarterTubeMesh<ELEMENT>::Xi_hi[1];
         GeomObject* obj_tl_pt;
         Vector<double> s_tl(2);
         this->Wall_pt->locate_zeta(xi, obj_tl_pt, s_tl);
  
         // Element 0: central region
         //--------------------------
         if (region_id == 0)
         {
           // Nodal coordinates in x and y direction
           double x = el_pt->node_pt(n)->x(0);
           double y = el_pt->node_pt(n)->x(1);
  
           // The update function requires two geometric objects
           Vector<GeomObject*> geom_object_pt(2);
  
           // Wall GeomObject at bottom right end of wall mesh:
           geom_object_pt[0] = obj_br_pt;
  
           // Wall GeomObject at top left end of wall mesh:
           geom_object_pt[1] = obj_tl_pt;
  
           // The update function requires seven parameters:
           Vector<double> ref_value(7);
  
           // First reference value: fractional x-position inside region
           ref_value[0] = x / x_c_element;
  
           // Second cfractional y-position inside region
           ref_value[1] = y / y_c_element;
  
           // Third reference value: initial z coordinate of node
           ref_value[2] = z;
  
           // Fourth and fifth reference values:
           // local coordinate in GeomObject at bottom-right of wall.
           // Note: must recompute this reference for new nodes
           // since values interpolated from parent nodes will
           // be wrong (this is true for all local coordinates
           // within GeomObjects)
           ref_value[3] = s_br[0];
           ref_value[4] = s_br[1];
  
           // Sixth and seventh reference values:
           // local coordinate in GeomObject at top-left of wall.
           ref_value[5] = s_tl[0];
           ref_value[6] = s_tl[1];
  
           // Setup algebraic update for node: Pass update information
           static_cast<AlgebraicNode*>(el_pt->node_pt(n))
             ->add_node_update_info(Central_region, // enumerated ID
                                    this, // mesh
                                    geom_object_pt, // vector of geom objects
                                    ref_value); // vector of ref. values
         }
  
         // Element 1: Bottom right region
         //-------------------------------
         else if (region_id == 1)
         {
           // Fractional distance between nodes
           double fract = 1.0 / double(nnodes_1d - 1);
  
           // Fraction in the s_0-direction
           double rho_0 = fract * double(n % nnodes_1d);
  
           // Fraction in the s_1-direction
           double rho_1 = fract * double((n / nnodes_1d) % nnodes_1d);
  
           // Find coord of reference point on wall
           xi[1] = QuarterTubeMesh<ELEMENT>::Xi_lo[1] +
                   rho_1 * QuarterTubeMesh<ELEMENT>::Fract_mid *
                     (QuarterTubeMesh<ELEMENT>::Xi_hi[1] -
                      QuarterTubeMesh<ELEMENT>::Xi_lo[1]);
  
           // Identify wall GeomObject and local coordinate of
           // reference point in GeomObject
           GeomObject* obj_wall_pt;
           Vector<double> s_wall(2);
           this->Wall_pt->locate_zeta(xi, obj_wall_pt, s_wall);
  
           // The update function requires three geometric objects
           Vector<GeomObject*> geom_object_pt(3);
  
           // Wall element at bottom-right end of wall mesh:
           geom_object_pt[0] = obj_br_pt;
  
           // Wall element at top left end of wall mesh:
           geom_object_pt[1] = obj_tl_pt;
  
           // Wall element at that contians reference point:
           geom_object_pt[2] = obj_wall_pt;
  
           // The update function requires nine parameters:
           Vector<double> ref_value(9);
  
           // First reference value: fractional s0-position inside region
           ref_value[0] = rho_0;
  
           // Second reference value: fractional s1-position inside region
           ref_value[1] = rho_1;
  
           // Thrid reference value: initial z coord of node
           ref_value[2] = z;
  
           // Fourth and fifth reference values:
           //   local coordinates at bottom-right of wall.
           ref_value[3] = s_br[0];
           ref_value[4] = s_br[1];
  
           // Sixth and seventh reference values:
           //   local coordinates at top-left of wall.
           ref_value[5] = s_tl[0];
           ref_value[6] = s_tl[1];
  
           // Eighth and ninth reference values:
           //   local coordinate of reference point.
           ref_value[7] = s_wall[0];
           ref_value[8] = s_wall[1];
  
           // Setup algebraic update for node: Pass update information
           static_cast<AlgebraicNode*>(el_pt->node_pt(n))
             ->add_node_update_info(Lower_right_region, // enumerated ID
                                    this, // mesh
                                    geom_object_pt, // vector of geom objects
                                    ref_value); // vector of ref. vals
         }
  
         // Element 2: Top left region
         //---------------------------
         else if (region_id == 2)
         {
           // Fractional distance between nodes
           double fract = 1.0 / double(nnodes_1d - 1);
  
           // Fraction in the s_0-direction
           double rho_0 = fract * double(n % nnodes_1d);
  
           // Fraction in the s_1-direction
           double rho_1 = fract * double((n / nnodes_1d) % nnodes_1d);
  
           // Find coord of reference point on wall
           xi[1] = QuarterTubeMesh<ELEMENT>::Xi_hi[1] +
                   rho_0 * (1.0 - QuarterTubeMesh<ELEMENT>::Fract_mid) *
                     (QuarterTubeMesh<ELEMENT>::Xi_lo[1] -
                      QuarterTubeMesh<ELEMENT>::Xi_hi[1]);
  
           // Identify GeomObject and local coordinate at
           // reference point on wall
           GeomObject* obj_wall_pt;
           Vector<double> s_wall(2);
           this->Wall_pt->locate_zeta(xi, obj_wall_pt, s_wall);
  
           // The update function requires three geometric objects
           Vector<GeomObject*> geom_object_pt(3);
  
           // Wall element at bottom-right of wall mesh:
           geom_object_pt[0] = obj_br_pt;
  
           // Wall element at top-left of wall mesh:
           geom_object_pt[1] = obj_tl_pt;
  
           // Wall element contianing reference point:
           geom_object_pt[2] = obj_wall_pt;
  
           // The update function requires nine parameters:
           Vector<double> ref_value(9);
  
           // First reference value: fractional s0-position inside region
           ref_value[0] = rho_0;
  
           // Second reference value: fractional s1-position inside region
           ref_value[1] = rho_1;
  
           // Third reference value: initial z coord
           ref_value[2] = z;
  
           // Fourth and fifth reference values:
           //   local coordinates in bottom-right GeomObject
           ref_value[3] = s_br[0];
           ref_value[4] = s_br[1];
  
           // Sixth and seventh reference values:
           //   local coordinates in top-left GeomObject
           ref_value[5] = s_tl[0];
           ref_value[6] = s_tl[1];
  
           // Eighth and ninth reference values:
           //   local coordinates at reference point
           ref_value[7] = s_wall[0];
           ref_value[8] = s_wall[1];
  
           // Setup algebraic update for node: Pass update information
           static_cast<AlgebraicNode*>(el_pt->node_pt(n))
             ->add_node_update_info(Upper_left_region, // Enumerated ID
                                    this, // mesh
                                    geom_object_pt, // vector of geom objects
                                    ref_value); // vector of ref. vals
         }
       }
     }
   }

References e(), oomph::Mesh::element_pt(), oomph::Mesh::finite_element_pt(), n, plotDoE::name, oomph::Mesh::nelement(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nnode_1d(), oomph::FiniteElement::node_pt(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::Global_string_for_annotation::string(), plotDoE::x, oomph::Node::x(), and y.

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

◆ update_node_update()

template<class ELEMENT >

void oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::update_node_update ( AlgebraicNode *& node_pt )

inlinevirtual

Update the node update info for specified algebraic node following any spatial mesh adaptation.

Implements oomph::AlgebraicMesh.

     {
       // Get all node update fct for this node (resizes internally)
       Vector<int> id;
       node_pt->node_update_fct_id(id);
  
       // Loop over all update fcts
       unsigned n_update = id.size();
       for (unsigned i = 0; i < n_update; i++)
       {
         update_node_update_in_region(node_pt, id[i]);
       }
     }

References i, oomph::AlgebraicMesh::node_pt(), oomph::AlgebraicNode::node_update_fct_id(), and oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::update_node_update_in_region().

◆ update_node_update_in_region()

template<class ELEMENT >

void oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::update_node_update_in_region	(	AlgebraicNode *&	node_pt,
		int &	region_id
	)

private

Update algebraic node update function for nodes in the region defined by region_id

Update algebraic update function for nodes in region defined by region_id.

   {
     // Extract references by copy construction
     Vector<double> ref_value(node_pt->vector_ref_value(region_id));
  
     // Extract geometric objects for update by copy construction
     Vector<GeomObject*> geom_object_pt(
       node_pt->vector_geom_object_pt(region_id));
  
     // Now remove the update info to allow overwriting below
     node_pt->kill_node_update_info(region_id);
  
     // Fixed reference value: Start coordinate on wall
     double xi_lo = QuarterTubeMesh<ELEMENT>::Xi_lo[1];
  
     // Fixed reference value: Fractional position of dividing line
     double fract_mid = QuarterTubeMesh<ELEMENT>::Fract_mid;
  
     // Fixed reference value: End coordinate on wall
     double xi_hi = QuarterTubeMesh<ELEMENT>::Xi_hi[1];
  
     // get initial z-coordinate of node
     // NOTE: use modified z found using axial_spacing_fct()
     // to implement axial spacing
     double z = ref_value[2];
  
     // Update reference to wall point in bottom right corner
     //------------------------------------------------------
  
     // Wall position in bottom right corner:
     Vector<double> xi(2);
     xi[0] = z;
     xi[1] = xi_lo;
  
     // Find corresponding wall element/local coordinate
     GeomObject* obj_br_pt;
     Vector<double> s_br(2);
     this->Wall_pt->locate_zeta(xi, obj_br_pt, s_br);
  
     // Wall element at bottom right end of wall mesh:
     geom_object_pt[0] = obj_br_pt;
  
     // Local coordinate in this wall element.
     ref_value[3] = s_br[0];
     ref_value[4] = s_br[1];
  
  
     // Update reference to wall point in upper left corner
     //----------------------------------------------------
  
     // Wall position in top left corner
     xi[1] = xi_hi;
  
     // Find corresponding wall element/local coordinate
     GeomObject* obj_tl_pt;
     Vector<double> s_tl(2);
     this->Wall_pt->locate_zeta(xi, obj_tl_pt, s_tl);
  
     // Wall element at top left end of wall mesh:
     geom_object_pt[1] = obj_tl_pt;
  
     // Local coordinate in this wall element.
     ref_value[5] = s_tl[0];
     ref_value[6] = s_tl[1];
  
     if (region_id != Central_region)
     {
       // Update reference to reference point on wall
       //--------------------------------------------
  
       // Reference point on wall
       if (region_id == Lower_right_region)
       {
         // Second reference value: fractional s1-position of node inside region
         double rho_1 = ref_value[1];
  
         // position of reference point
         xi[1] = xi_lo + rho_1 * fract_mid * (xi_hi - xi_lo);
       }
       else // case of Upper_left region
       {
         // First reference value: fractional s0-position of node inside region
         double rho_0 = ref_value[0];
  
         // position of reference point
         xi[1] = xi_hi - rho_0 * (1.0 - fract_mid) * (xi_hi - xi_lo);
       }
  
       // Identify wall element number and local coordinate of
       // reference point on wall
       GeomObject* obj_wall_pt;
       Vector<double> s_wall(2);
       this->Wall_pt->locate_zeta(xi, obj_wall_pt, s_wall);
  
       // Wall element at that contians reference point:
       geom_object_pt[2] = obj_wall_pt;
  
       // Local coordinate in this wall element.
       ref_value[7] = s_wall[0];
       ref_value[8] = s_wall[1];
     }
  
     // Setup algebraic update for node: Pass update information
     node_pt->add_node_update_info(region_id, // Enumerated ID
                                   this, // mesh
                                   geom_object_pt, // vector of geom objects
                                   ref_value); // vector of ref. vals
   }

References oomph::AlgebraicNode::add_node_update_info(), oomph::AlgebraicNode::kill_node_update_info(), oomph::AlgebraicNode::vector_geom_object_pt(), and oomph::AlgebraicNode::vector_ref_value().

Referenced by oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::update_node_update().

Member Data Documentation

◆ Centre_box_size

template<class ELEMENT >

double oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::Centre_box_size

private

Size of centre box.

◆ Lambda_x

template<class ELEMENT >

double oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::Lambda_x

private

Fractional width of central region.

◆ Lambda_y

template<class ELEMENT >

double oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >::Lambda_y

private

Fractional height of central region.

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

Public Member Functions

Private Types

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<class ELEMENT> class oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ AlgebraicRefineableQuarterTubeMesh()

Member Function Documentation

◆ algebraic_node_update()

◆ axial_spacing_fct_pt()

◆ node_update()

◆ node_update_central_region()

◆ node_update_lower_right_region()

◆ node_update_upper_left_region()

◆ self_test()

◆ setup_algebraic_node_update()

◆ update_node_update()

◆ update_node_update_in_region()

Member Data Documentation

◆ Centre_box_size

◆ Lambda_x

◆ Lambda_y

template<class ELEMENT>
class oomph::AlgebraicRefineableQuarterTubeMesh< ELEMENT >