#include <two_layer_spine_mesh.template.h>

Inheritance diagram for oomph::TwoLayerSpineMesh< ELEMENT >:

Public Member Functions
	TwoLayerSpineMesh (const unsigned &nx, const unsigned &ny1, const unsigned &ny2, const double &lx, const double &h1, const double &h2, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)

	TwoLayerSpineMesh (const unsigned &nx, const unsigned &ny1, const unsigned &ny2, const double &lx, const double &h1, const double &h2, const bool &periodic_in_x, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)

	TwoLayerSpineMesh (const unsigned &nx, const unsigned &ny1, const unsigned &ny2, const double &lx, const double &h1, const double &h2, const bool &periodic_in_x, const bool &build_mesh, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)

FiniteElement *&	upper_layer_element_pt (const unsigned long &i)
	Access functions for pointers to elements in upper layer. More...

FiniteElement *&	lower_layer_element_pt (const unsigned long &i)
	Access functions for pointers to elements in bottom layer. More...

unsigned long	nupper () const
	Number of elements in upper layer. More...

unsigned long	nlower () const
	Number of elements in top layer. More...

FiniteElement *&	interface_upper_boundary_element_pt (const unsigned long &i)
	Access functions for pointers to elements in upper layer. More...

FiniteElement *&	interface_lower_boundary_element_pt (const unsigned long &i)
	Access functions for pointers to elements in bottom layer. More...

unsigned long	ninterface_upper () const
	Number of elements in upper layer. More...

unsigned long	ninterface_lower () const
	Number of elements in top layer. More...

int	interface_upper_face_index_at_boundary (const unsigned &e)

int	interface_lower_face_index_at_boundary (const unsigned &e)

void	spine_node_update (SpineNode *spine_node_pt)

Public Member Functions inherited from oomph::RectangularQuadMesh< ELEMENT >
	RectangularQuadMesh (const unsigned &nx, const unsigned &ny, const double &lx, const double &ly, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)

	RectangularQuadMesh (const unsigned &nx, const unsigned &ny, const double &xmin, const double &xmax, const double &ymin, const double &ymax, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)

	RectangularQuadMesh (const unsigned &nx, const unsigned &ny, const double &lx, const double &ly, const bool &periodic_in_x, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)

	RectangularQuadMesh (const unsigned &nx, const unsigned &ny, const double &xmin, const double &xmax, const double &ymin, const double &ymax, const bool &periodic_in_x, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)

const unsigned &	nx () const
	Return number of elements in x direction. More...

const unsigned &	ny () const
	Return number of elements in y direction. More...

const double	x_min () const
	Return the minimum value of x coordinate. More...

const double	x_max () const
	Return the maximum value of x coordinate. More...

const double	y_min () const
	Return the minimum value of y coordinate. More...

const double	y_max () const
	Return the maximum value of y coordinate. More...

virtual void	element_reorder ()

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	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...

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)

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::SpineMesh
virtual	~SpineMesh ()
	Destructor to clean up the memory allocated to the spines. More...

Spine *&	spine_pt (const unsigned long &i)
	Return the i-th spine in the mesh. More...

const Spine *	spine_pt (const unsigned long &i) const
	Return the i-th spine in the mesh (const version) More...

unsigned long	nspine () const
	Return the number of spines in the mesh. More...

void	add_spine_pt (Spine *const &spine_pt)
	Add a spine to the mesh. More...

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

SpineNode *	element_node_pt (const unsigned long &e, const unsigned &n)

unsigned long	assign_global_spine_eqn_numbers (Vector< double * > &Dof_pt)
	Assign spines to Spine_pt vector of element. More...

void	describe_spine_dofs (std::ostream &out, const std::string &current_string) const

void	set_mesh_level_time_stepper (TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)

void	set_spine_time_stepper (TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)
	Assign time stepper to spines data. More...

void	set_consistent_pinned_spine_values_for_continuation (ContinuationStorageScheme *const &continuation_stepper_pt)

bool	does_pointer_correspond_to_spine_data (double *const &parameter_pt)

void	node_update (const bool &update_all_solid_nodes=false)

void	dump (std::ofstream &dump_file) const
	Overload the dump function so that the spine data is dumped. More...

void	read (std::ifstream &restart_file)
	Overload the read function so that the spine data is also read. More...

Protected Member Functions
double	x_spacing_function (unsigned xelement, unsigned xnode, unsigned yelement, unsigned ynode)

double	y_spacing_function (unsigned xelement, unsigned xnode, unsigned yelement, unsigned ynode)

void	spine_node_update_lower (SpineNode *spine_node_pt)
	Update function for the lower part of the domain. More...

void	spine_node_update_upper (SpineNode *spine_node_pt)
	Update function for the upper part of the domain. More...

virtual void	build_two_layer_mesh (TimeStepper *time_stepper_pt)

Protected Member Functions inherited from oomph::RectangularQuadMesh< ELEMENT >
void	build_mesh (TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
	Generic mesh construction function: contains all the hard work. More...

	RectangularQuadMesh (const unsigned &nx, const unsigned &ny, const double &xmin, const double &xmax, const double &ymin, const double &ymax, const bool &periodic_in_x, const bool &build, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)

Protected Member Functions inherited from oomph::Mesh
unsigned long	assign_global_eqn_numbers (Vector< double * > &Dof_pt)
	Assign (global) equation numbers to the nodes. More...

void	describe_dofs (std::ostream &out, const std::string &current_string) const

void	describe_local_dofs (std::ostream &out, const std::string &current_string) const

void	assign_local_eqn_numbers (const bool &store_local_dof_pt)
	Assign local equation numbers in all elements. More...

void	convert_to_boundary_node (Node &node_pt, const Vector< FiniteElement > &finite_element_pt)

void	convert_to_boundary_node (Node *&node_pt)

Protected Attributes
unsigned	Ny1
	Number of elements in lower layer. More...

unsigned	Ny2
	Number of elements in upper layer. More...

double	H1
	Height of the lower layer. More...

double	H2
	Height of the upper layer. More...

Vector< FiniteElement * >	Lower_layer_element_pt
	Vector of pointers to element in the upper layer. More...

Vector< FiniteElement * >	Upper_layer_element_pt
	Vector of pointers to element in the lower layer. More...

Vector< FiniteElement * >	Interface_lower_boundary_element_pt

Vector< FiniteElement * >	Interface_upper_boundary_element_pt

Protected Attributes inherited from oomph::RectangularQuadMesh< ELEMENT >
unsigned	Nx
	Nx: number of elements in x-direction. More...

unsigned	Ny
	Ny: number of elements in y-direction. More...

unsigned	Np
	Np: number of (linear) points in the element. More...

double	Xmin
	Minimum value of x coordinate. More...

double	Xmax
	Maximum value of x coordinate. More...

double	Ymin
	Minimum value of y coordinate. More...

double	Ymax
	Maximum value of y coordinate. More...

bool	Xperiodic

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::SpineMesh
Vector< Spine * >	Spine_pt
	A Spine mesh contains a Vector of pointers to spines. 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...

Detailed Description

template<class ELEMENT>
class oomph::TwoLayerSpineMesh< ELEMENT >

Two-layer spine mesh class derived from standard 2D mesh. The mesh contains two layers of spinified fluid elements (of type ELEMENT; e.g SpineElement<QCrouzeixRaviartElement<2>).

This mesh paritions the elements into those above and below a notional interface and relabels boundaries so that the mesh is as follows

3

| | 4 | | 2

| 6 |

| | 5 | | 1

| |

0 Update information for the nodes in response to changes in spine length is given, but additional equations must be specified in order to completely specify the problem.

Constructor & Destructor Documentation

◆ TwoLayerSpineMesh() [1/3]

template<class ELEMENT >

oomph::TwoLayerSpineMesh< ELEMENT >::TwoLayerSpineMesh	(	const unsigned &	nx,
		const unsigned &	ny1,
		const unsigned &	ny2,
		const double &	lx,
		const double &	h1,
		const double &	h2,
		TimeStepper *	time_stepper_pt = `&Mesh::Default_TimeStepper`
	)

Constructor: Pass number of elements in x-direction, number of elements in y-direction in bottom and top layer, respectively, axial length and height of top and bottom layers and pointer to timestepper (defaults to Steady timestepper)

Constuctor for spine 2D mesh: Pass number of elements in x-direction, number of elements in y-direction in bottom and top layer, respectively, axial length and height of top and bottom layers, and pointer to timestepper (defaults to Static timestepper).

The mesh contains two layers of elements (of type ELEMENT; e.g SpineElement<QCrouzeixRaviartElement<2>) and an interfacial layer of corresponding Spine interface elements of type INTERFACE_ELEMENT, e.g. SpineLineFluidInterfaceElement<ELEMENT> for 2D planar problems.

     : RectangularQuadMesh<ELEMENT>(
         nx, ny1 + ny2, 0.0, lx, 0.0, h1 + h2, false, false, time_stepper_pt)
   {
     // Mesh can only be built with 2D Qelements.
     MeshChecker::assert_geometric_element<QElementGeometricBase, ELEMENT>(2);
  
     // Mesh can only be built with spine elements
     MeshChecker::assert_geometric_element<SpineFiniteElement, ELEMENT>(2);
  
     // We've called the "generic" constructor for the RectangularQuadMesh
     // which doesn't do much...
     // Now set up the parameters that characterise the mesh geometry
     // then call the build function
  
     // Number of elements in bottom and top layers
     Ny1 = ny1;
     Ny2 = ny2;
  
     // Set height of upper and lower layers
     H1 = h1;
     H2 = h2;
  
     // Now build the mesh:
     build_two_layer_mesh(time_stepper_pt);
   }

◆ TwoLayerSpineMesh() [2/3]

template<class ELEMENT >

oomph::TwoLayerSpineMesh< ELEMENT >::TwoLayerSpineMesh	(	const unsigned &	nx,
		const unsigned &	ny1,
		const unsigned &	ny2,
		const double &	lx,
		const double &	h1,
		const double &	h2,
		const bool &	periodic_in_x,
		TimeStepper *	time_stepper_pt = `&Mesh::Default_TimeStepper`
	)

Constructor: Pass number of elements in x-direction, number of elements in y-direction in bottom and top layer, respectively, axial length and height of top and bottom layers, a boolean flag to make the mesh periodic in the x-direction, and pointer to timestepper (defaults to Steady timestepper)

Constuctor for spine 2D mesh: Pass number of elements in x-direction, number of elements in y-direction in bottom and top layer, respectively, axial length and height of top and bottom layers, a boolean flag to make the mesh periodic in the x-direction, and pointer to timestepper (defaults to Static timestepper).

The mesh contains two layers of elements (of type ELEMENT; e.g SpineElement<QCrouzeixRaviartElement<2>) and an interfacial layer of corresponding Spine interface elements of type INTERFACE_ELEMENT, e.g. SpineLineFluidInterfaceElement<ELEMENT> for 2D planar problems.

     : RectangularQuadMesh<ELEMENT>(nx,
                                    ny1 + ny2,
                                    0.0,
                                    lx,
                                    0.0,
                                    h1 + h2,
                                    periodic_in_x,
                                    false,
                                    time_stepper_pt)
   {
     // Mesh can only be built with 2D Qelements.
     MeshChecker::assert_geometric_element<QElementGeometricBase, ELEMENT>(2);
  
     // Mesh can only be built with spine elements
     MeshChecker::assert_geometric_element<SpineFiniteElement, ELEMENT>(2);
  
     // We've called the "generic" constructor for the RectangularQuadMesh
     // which doesn't do much...
     // Now set up the parameters that characterise the mesh geometry
     // then call the constructor
  
     // Number of elements in bottom and top layers
     Ny1 = ny1;
     Ny2 = ny2;
  
     // Set height of upper and lower layers
     H1 = h1;
     H2 = h2;
  
     // Now build the mesh:
     build_two_layer_mesh(time_stepper_pt);
   }

◆ TwoLayerSpineMesh() [3/3]

template<class ELEMENT >

oomph::TwoLayerSpineMesh< ELEMENT >::TwoLayerSpineMesh	(	const unsigned &	nx,
		const unsigned &	ny1,
		const unsigned &	ny2,
		const double &	lx,
		const double &	h1,
		const double &	h2,
		const bool &	periodic_in_x,
		const bool &	build_mesh,
		TimeStepper *	time_stepper_pt = `&Mesh::Default_TimeStepper`
	)

Constructor: Pass number of elements in x-direction, number of elements in y-direction in bottom and top layer, respectively, axial length and height of top and bottom layers, a boolean flag to make the mesh periodic in the x-direction, a boolean flag to specify whether or not to call the "build_two_layer_mesh" function, and pointer to timestepper (defaults to Steady timestepper)

Constuctor for spine 2D mesh: Pass number of elements in x-direction, number of elements in y-direction in bottom and top layer, respectively, axial length and height of top and bottom layers, a boolean flag to make the mesh periodic in the x-direction, a boolean flag to specify whether or not to call the "build_two_layer_mesh" function, and pointer to timestepper (defaults to Static timestepper).

The mesh contains two layers of elements (of type ELEMENT; e.g SpineElement<QCrouzeixRaviartElement<2>) and an interfacial layer of corresponding Spine interface elements of type INTERFACE_ELEMENT, e.g. SpineLineFluidInterfaceElement<ELEMENT> for 2D planar problems.

     : RectangularQuadMesh<ELEMENT>(nx,
                                    ny1 + ny2,
                                    0.0,
                                    lx,
                                    0.0,
                                    h1 + h2,
                                    periodic_in_x,
                                    false,
                                    time_stepper_pt)
   {
     // Mesh can only be built with 2D Qelements.
     MeshChecker::assert_geometric_element<QElementGeometricBase, ELEMENT>(2);
  
     // Mesh can only be built with spine elements
     MeshChecker::assert_geometric_element<SpineFiniteElement, ELEMENT>(2);
  
     // We've called the "generic" constructor for the RectangularQuadMesh
     // which doesn't do much...
     // Now set up the parameters that characterise the mesh geometry
     // then call the constructor
  
     // Number of elements in bottom and top layers
     Ny1 = ny1;
     Ny2 = ny2;
  
     // Set height of upper and lower layers
     H1 = h1;
     H2 = h2;
  
     // Only build the mesh here if build_mesh=true
     // This is useful when calling this constructor from a derived class
     // (such as Axisym2x6TwoLayerSpineMesh) where the mesh building
     // needs to be called from *its* constructor and this constructor is
     // only used to pass arguments to the RectangularQuadMesh constructor.
     if (build_mesh)
     {
       build_two_layer_mesh(time_stepper_pt);
     }
   }

References oomph::RectangularQuadMesh< ELEMENT >::build_mesh(), oomph::TwoLayerSpineMesh< ELEMENT >::build_two_layer_mesh(), oomph::TwoLayerSpineMesh< ELEMENT >::H1, oomph::TwoLayerSpineMesh< ELEMENT >::H2, oomph::TwoLayerSpineMesh< ELEMENT >::Ny1, and oomph::TwoLayerSpineMesh< ELEMENT >::Ny2.

Member Function Documentation

◆ build_two_layer_mesh()

template<class ELEMENT >

void oomph::TwoLayerSpineMesh< ELEMENT >::build_two_layer_mesh ( TimeStepper * time_stepper_pt )

protectedvirtual

Helper function to actually build the two-layer spine mesh (called from various constructors)

Helper function that actually builds the two-layer spine mesh based on the parameters set in the various constructors

   {
     // Build the underlying quad mesh:
     RectangularQuadMesh<ELEMENT>::build_mesh(time_stepper_pt);
  
     // Reset the number of boundaries
     set_nboundary(7);
  
     // Set up the pointers to elements in the upper and lower fluid
     // Calculate numbers of nodes in upper and lower regions
     unsigned long n_lower = this->Nx * Ny1;
     unsigned long n_upper = this->Nx * Ny2;
     // Loop over lower elements and push back
     Lower_layer_element_pt.reserve(n_lower);
     for (unsigned e = 0; e < n_lower; e++)
     {
       Lower_layer_element_pt.push_back(this->finite_element_pt(e));
     }
     // Loop over upper elements and push back
     Upper_layer_element_pt.reserve(n_upper);
     for (unsigned e = n_lower; e < (n_lower + n_upper); e++)
     {
       Upper_layer_element_pt.push_back(this->finite_element_pt(e));
     }
  
     // Set the elements adjacent to the interface
     Interface_lower_boundary_element_pt.resize(this->Nx);
     Interface_upper_boundary_element_pt.resize(this->Nx);
     {
       unsigned count_lower = this->Nx * (this->Ny1 - 1);
       unsigned count_upper = count_lower + this->Nx;
       for (unsigned e = 0; e < this->Nx; e++)
       {
         Interface_lower_boundary_element_pt[e] =
           this->finite_element_pt(count_lower);
         ++count_lower;
         Interface_upper_boundary_element_pt[e] =
           this->finite_element_pt(count_upper);
         ++count_upper;
       }
     }
  
     // Relabel the boundary nodes
     // Storage for the boundary coordinates that will be transferred directly
     Vector<double> b_coord;
     {
       // Store the interface level
       const double y_interface = H1 - this->Ymin;
  
       // Nodes on boundary 3 are now on boundaries 4 and 5
       unsigned n_boundary_node = this->nboundary_node(3);
       // Loop over the nodes remove them from boundary 3
       // and add them to boundary 4 or 5 depending on their y coordinate
       for (unsigned n = 0; n < n_boundary_node; n++)
       {
         // Cache pointer to the node
         Node* const nod_pt = this->boundary_node_pt(3, n);
         // Get the boundary coordinates if set
         if (boundary_coordinate_exists(3))
         {
           b_coord.resize(nod_pt->ncoordinates_on_boundary(3));
           nod_pt->get_coordinates_on_boundary(3, b_coord);
           // Indicate that the boundary coordinates are to be set on the
           // new boundaries
           this->Boundary_coordinate_exists[4] = true;
           this->Boundary_coordinate_exists[5] = true;
         }
  
         // Now remove the node from the boundary
         nod_pt->remove_from_boundary(3);
  
         // Find the height of the node
         double y = nod_pt->x(1);
         // If it's above or equal to the interface, it's on boundary 4
         if (y >= y_interface)
         {
           this->add_boundary_node(4, nod_pt);
           // Add the boundary coordinate if it has been set up
           if (this->Boundary_coordinate_exists[4])
           {
             nod_pt->set_coordinates_on_boundary(4, b_coord);
           }
         }
         // otherwise it's on boundary 5
         if (y <= y_interface)
         {
           this->add_boundary_node(5, nod_pt);
           // Add the boundary coordinate if it has been set up
           if (this->Boundary_coordinate_exists[5])
           {
             nod_pt->set_coordinates_on_boundary(5, b_coord);
           }
         }
       }
  
       // Now clear the boundary node information from boundary 3
       this->Boundary_node_pt[3].clear();
  
       // Relabel the nodes on boundary 2 to be on boundary 3
       n_boundary_node = this->nboundary_node(2);
       // Loop over the nodes remove them from boundary 2
       // and add them to boundary 3
       for (unsigned n = 0; n < n_boundary_node; n++)
       {
         // Cache pointer to the node
         Node* const nod_pt = this->boundary_node_pt(2, n);
         // Get the boundary coordinates if set
         if (this->boundary_coordinate_exists(2))
         {
           b_coord.resize(nod_pt->ncoordinates_on_boundary(2));
           nod_pt->get_coordinates_on_boundary(2, b_coord);
           this->Boundary_coordinate_exists[3] = true;
         }
  
         // Now remove the node from the boundary 2
         nod_pt->remove_from_boundary(2);
         // and add to boundary 3
         this->add_boundary_node(3, nod_pt);
         if (this->Boundary_coordinate_exists[3])
         {
           nod_pt->set_coordinates_on_boundary(3, b_coord);
         }
       }
  
       // Clear the information from boundary 2
       this->Boundary_node_pt[2].clear();
  
       std::list<Node*> nodes_to_be_removed;
  
       // Nodes on boundary 1 are now on boundaries 1 and 2
       n_boundary_node = this->nboundary_node(1);
       // Loop over the nodes remove some of them from boundary 1
       for (unsigned n = 0; n < n_boundary_node; n++)
       {
         // Cache pointer to the node
         Node* const nod_pt = this->boundary_node_pt(1, n);
  
         // Find the height of the node
         double y = nod_pt->x(1);
         // If it's above or equal to the interface it's on boundary 2
         if (y >= y_interface)
         {
           // Get the boundary coordinates if set
           if (this->boundary_coordinate_exists(1))
           {
             b_coord.resize(nod_pt->ncoordinates_on_boundary(1));
             nod_pt->get_coordinates_on_boundary(1, b_coord);
             this->Boundary_coordinate_exists[2] = true;
           }
  
           // Now remove the node from the boundary 1 if above interace
           if (y > y_interface)
           {
             nodes_to_be_removed.push_back(nod_pt);
           }
           // Always add to boundary 2
           this->add_boundary_node(2, nod_pt);
           // Add the boundary coordinate if it has been set up
           if (this->Boundary_coordinate_exists[2])
           {
             nod_pt->set_coordinates_on_boundary(2, b_coord);
           }
         }
       }
  
       // Loop over the nodes that are to be removed from boundary 1 and remove
       // them
       for (std::list<Node*>::iterator it = nodes_to_be_removed.begin();
            it != nodes_to_be_removed.end();
            ++it)
       {
         this->remove_boundary_node(1, *it);
       }
       nodes_to_be_removed.clear();
     }
     // Allocate memory for the spines and fractions along spines
     //---------------------------------------------------------
  
     // Read out number of linear points in the element
     unsigned n_p = dynamic_cast<ELEMENT*>(finite_element_pt(0))->nnode_1d();
  
  
     // Add the nodes on the interface to the boundary 6
     // Storage for boundary coordinates (x-coordinate)
     b_coord.resize(1);
     this->Boundary_coordinate_exists[6];
     // Starting index of the nodes
     unsigned n_start = 0;
     for (unsigned e = 0; e < this->Nx; e++)
     {
       // If we are past the
       if (e > 0)
       {
         n_start = 1;
       }
       // Get the layer of elements just above the interface
       FiniteElement* el_pt = this->finite_element_pt(this->Nx * this->Ny1 + e);
       // The first n_p nodes lie on the boundary
       for (unsigned n = n_start; n < n_p; n++)
       {
         Node* nod_pt = el_pt->node_pt(n);
         this->convert_to_boundary_node(nod_pt);
         this->add_boundary_node(6, nod_pt);
         b_coord[0] = nod_pt->x(0);
         nod_pt->set_coordinates_on_boundary(6, b_coord);
       }
     }
  
     // Allocate store for the spines:
     if (this->Xperiodic)
     {
       Spine_pt.reserve((n_p - 1) * this->Nx);
     }
     else
     {
       Spine_pt.reserve((n_p - 1) * this->Nx + 1);
     }
  
  
     // FIRST SPINE
     //-----------
  
     // Element 0
     // Node 0
     // Assign the new spine of height of the lower layer
     Spine* new_spine_pt = new Spine(H1);
     Spine_pt.push_back(new_spine_pt);
  
     // Get pointer to node
     SpineNode* nod_pt = element_node_pt(0, 0);
  
     // Set the pointer to the spine
     nod_pt->spine_pt() = new_spine_pt;
     // Set the fraction
     nod_pt->fraction() = 0.0;
     // Pointer to the mesh that implements the update fct
     nod_pt->spine_mesh_pt() = this;
     // ID of update function within this mesh: 0 = lower; 1 = upper
     nod_pt->node_update_fct_id() = 0;
  
     // Loop vertically along the spine
     // Loop over the elements in fluid 1
     for (unsigned long i = 0; i < Ny1; i++)
     {
       // Loop over the vertical nodes, apart from the first
       for (unsigned l1 = 1; l1 < n_p; l1++)
       {
         // Get pointer to node
         SpineNode* nod_pt = element_node_pt(i * this->Nx, l1 * n_p);
         // Set the pointer to the spine
         nod_pt->spine_pt() = new_spine_pt;
         // Set the fraction
         nod_pt->fraction() = (nod_pt->x(1) - this->Ymin) / (H1);
         // Pointer to the mesh that implements the update fct
         nod_pt->spine_mesh_pt() = this;
         // ID of update function within this mesh: 0 = lower; 1 = upper
         nod_pt->node_update_fct_id() = 0;
       }
     }
  
     // Loop over the elements in fluid 2
     for (unsigned long i = 0; i < Ny2; i++)
     {
       // Loop over vertical nodes, apart from the first
       for (unsigned l1 = 1; l1 < n_p; l1++)
       {
         // Get pointer to node
         SpineNode* nod_pt = element_node_pt((Ny1 + i) * this->Nx, l1 * n_p);
  
         // Set the pointer to the spine
         nod_pt->spine_pt() = new_spine_pt;
         // Set the fraction
         nod_pt->fraction() = (nod_pt->x(1) - (this->Ymin + H1)) / (H2);
         // Pointer to the mesh that implements the update fct
         nod_pt->spine_mesh_pt() = this;
         // ID of update function within this mesh: 0 = lower; 1 = upper
         nod_pt->node_update_fct_id() = 1;
       }
     }
  
  
     // LOOP OVER OTHER SPINES
     //----------------------
  
     // Now loop over the elements horizontally
     for (unsigned long j = 0; j < this->Nx; j++)
     {
       // Loop over the nodes in the elements horizontally, ignoring
       // the first column
  
       // Last spine needs special treatment in x-periodic meshes:
       unsigned n_pmax = n_p;
       if ((this->Xperiodic) && (j == this->Nx - 1)) n_pmax = n_p - 1;
  
       for (unsigned l2 = 1; l2 < n_pmax; l2++)
       {
         // Assign the new spine with length the height of the lower layer
         new_spine_pt = new Spine(H1);
         Spine_pt.push_back(new_spine_pt);
  
         // Get pointer to node
         SpineNode* nod_pt = element_node_pt(j, l2);
  
         // Set the pointer to the spine
         nod_pt->spine_pt() = new_spine_pt;
         // Set the fraction
         nod_pt->fraction() = 0.0;
         // Pointer to the mesh that implements the update fct
         nod_pt->spine_mesh_pt() = this;
         // ID of update function within this mesh: 0 = lower; 1 = upper
         nod_pt->node_update_fct_id() = 0;
  
         // Loop vertically along the spine
         // Loop over the elements in fluid 1
         for (unsigned long i = 0; i < Ny1; i++)
         {
           // Loop over the vertical nodes, apart from the first
           for (unsigned l1 = 1; l1 < n_p; l1++)
           {
             // Get pointer to node
             SpineNode* nod_pt =
               element_node_pt(i * this->Nx + j, l1 * n_p + l2);
             // Set the pointer to the spine
             nod_pt->spine_pt() = new_spine_pt;
             // Set the fraction
             nod_pt->fraction() = (nod_pt->x(1) - this->Ymin) / H1;
             // Pointer to the mesh that implements the update fct
             nod_pt->spine_mesh_pt() = this;
             // ID of update function within this mesh: 0 = lower; 1 = upper
             nod_pt->node_update_fct_id() = 0;
           }
         }
  
         // Loop over the elements in fluid 2
         for (unsigned long i = 0; i < Ny2; i++)
         {
           // Loop over vertical nodes, apart from the first
           for (unsigned l1 = 1; l1 < n_p; l1++)
           {
             // Get pointer to node
             SpineNode* nod_pt =
               element_node_pt((Ny1 + i) * this->Nx + j, l1 * n_p + l2);
  
             // Set the pointer to the spine
             nod_pt->spine_pt() = new_spine_pt;
             // Set the fraction
             nod_pt->fraction() = (nod_pt->x(1) - (this->Ymin + H1)) / H2;
             // Pointer to the mesh that implements the update fct
             nod_pt->spine_mesh_pt() = this;
             // ID of update function within this mesh: 0 = lower; 1 = upper
             nod_pt->node_update_fct_id() = 1;
           }
         }
       }
     }
  
  
     // Last spine needs special treatment for periodic meshes
     // because it's the same as the first one...
     if (this->Xperiodic)
     {
       // Last spine is the same as first one...
       Spine* final_spine_pt = Spine_pt[0];
  
       // Get pointer to node
       SpineNode* nod_pt = element_node_pt((this->Nx - 1), (n_p - 1));
  
       // Set the pointer to the spine
       nod_pt->spine_pt() = final_spine_pt;
       // Set the fraction to be the same as for the nodes on the first row
       nod_pt->fraction() = element_node_pt(0, 0)->fraction();
       // Pointer to the mesh that implements the update fct
       nod_pt->spine_mesh_pt() = element_node_pt(0, 0)->spine_mesh_pt();
       // ID of update function within this mesh: 0 = lower; 1 = upper
       nod_pt->node_update_fct_id() =
         element_node_pt(0, 0)->node_update_fct_id();
  
       // Now loop vertically along the spine
       for (unsigned i = 0; i < (Ny1 + Ny2); i++)
       {
         // Loop over the vertical nodes, apart from the first
         for (unsigned l1 = 1; l1 < n_p; l1++)
         {
           // Get pointer to node
           SpineNode* nod_pt = element_node_pt(i * this->Nx + (this->Nx - 1),
                                               l1 * n_p + (n_p - 1));
  
           // Set the pointer to the spine
           nod_pt->spine_pt() = final_spine_pt;
           // Set the fraction to be the same as in first row
           nod_pt->fraction() =
             element_node_pt(i * this->Nx, l1 * n_p)->fraction();
           // ID of update function within this mesh: 0 = lower; 1 = upper
           nod_pt->node_update_fct_id() =
             element_node_pt(i * this->Nx, l1 * n_p)->node_update_fct_id();
           // Pointer to the mesh that implements the update fct
           nod_pt->spine_mesh_pt() =
             element_node_pt(i * this->Nx, l1 * n_p)->spine_mesh_pt();
         }
       }
     }
  
  
     // Assign the 1D Line elements
     //---------------------------
  
     // Get the present number of elements
     /*unsigned long element_count = Element_pt.size();
  
     //Loop over the horizontal elements
     for(unsigned i=0;i<this->Nx;i++)
      {
      //Construct a new 1D line element on the face on which the local
      //coordinate 1 is fixed at its max. value (1) -- Face 2
       FiniteElement *interface_element_element_pt =
        new INTERFACE_ELEMENT(finite_element_pt(this->Nx*(Ny1-1)+i),2);
  
       //Push it back onto the stack
       Element_pt.push_back(interface_element_element_pt);
  
       //Push it back onto the stack of interface elements
       Interface_element_pt.push_back(interface_element_element_pt);
  
       element_count++;
       }*/
  
     // Setup the boundary information
     this->setup_boundary_element_info();
   }

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

◆ interface_lower_boundary_element_pt()

template<class ELEMENT >

FiniteElement*& oomph::TwoLayerSpineMesh< ELEMENT >::interface_lower_boundary_element_pt ( const unsigned long & i )

inline

Access functions for pointers to elements in bottom layer.

     {
       return Interface_lower_boundary_element_pt[i];
     }

References i, and oomph::TwoLayerSpineMesh< ELEMENT >::Interface_lower_boundary_element_pt.

◆ interface_lower_face_index_at_boundary()

template<class ELEMENT >

int oomph::TwoLayerSpineMesh< ELEMENT >::interface_lower_face_index_at_boundary ( const unsigned & e )

inline

Index of the face of the elements next to the interface in the lower region (always 2)

     {
       return 2;
     }

◆ interface_upper_boundary_element_pt()

template<class ELEMENT >

FiniteElement*& oomph::TwoLayerSpineMesh< ELEMENT >::interface_upper_boundary_element_pt ( const unsigned long & i )

inline

Access functions for pointers to elements in upper layer.

     {
       return Interface_upper_boundary_element_pt[i];
     }

References i, and oomph::TwoLayerSpineMesh< ELEMENT >::Interface_upper_boundary_element_pt.

◆ interface_upper_face_index_at_boundary()

template<class ELEMENT >

int oomph::TwoLayerSpineMesh< ELEMENT >::interface_upper_face_index_at_boundary ( const unsigned & e )

inline

Index of the face of the elements next to the interface in the upper region (always -2)

     {
       return -2;
     }

◆ lower_layer_element_pt()

template<class ELEMENT >

FiniteElement*& oomph::TwoLayerSpineMesh< ELEMENT >::lower_layer_element_pt ( const unsigned long & i )

inline

Access functions for pointers to elements in bottom layer.

     {
       return Lower_layer_element_pt[i];
     }

References i, and oomph::TwoLayerSpineMesh< ELEMENT >::Lower_layer_element_pt.

◆ ninterface_lower()

template<class ELEMENT >

unsigned long oomph::TwoLayerSpineMesh< ELEMENT >::ninterface_lower ( ) const

inline

Number of elements in top layer.

     {
       return Interface_lower_boundary_element_pt.size();
     }

References oomph::TwoLayerSpineMesh< ELEMENT >::Interface_lower_boundary_element_pt.

◆ ninterface_upper()

template<class ELEMENT >

unsigned long oomph::TwoLayerSpineMesh< ELEMENT >::ninterface_upper ( ) const

inline

Number of elements in upper layer.

     {
       return Interface_upper_boundary_element_pt.size();
     }

References oomph::TwoLayerSpineMesh< ELEMENT >::Interface_upper_boundary_element_pt.

◆ nlower()

template<class ELEMENT >

unsigned long oomph::TwoLayerSpineMesh< ELEMENT >::nlower ( ) const

inline

Number of elements in top layer.

     {
       return Lower_layer_element_pt.size();
     }

References oomph::TwoLayerSpineMesh< ELEMENT >::Lower_layer_element_pt.

Referenced by SurfactantProblem< ELEMENT, INTERFACE_ELEMENT >::compute_integrated_concentrations().

◆ nupper()

template<class ELEMENT >

unsigned long oomph::TwoLayerSpineMesh< ELEMENT >::nupper ( ) const

inline

Number of elements in upper layer.

     {
       return Upper_layer_element_pt.size();
     }

References oomph::TwoLayerSpineMesh< ELEMENT >::Upper_layer_element_pt.

◆ spine_node_update()

template<class ELEMENT >

void oomph::TwoLayerSpineMesh< ELEMENT >::spine_node_update ( SpineNode * spine_node_pt )

inlinevirtual

General node update function implements pure virtual function defined in SpineMesh base class and performs specific update actions, depending on the node update fct id stored for each node.

Implements oomph::SpineMesh.

     {
       unsigned id = spine_node_pt->node_update_fct_id();
       switch (id)
       {
         case 0:
           spine_node_update_lower(spine_node_pt);
           break;
  
         case 1:
           spine_node_update_upper(spine_node_pt);
           break;
  
         default:
           std::ostringstream error_message;
           error_message << "Unknown id passed to spine_node_update " << id
                         << std::endl;
           throw OomphLibError(error_message.str(),
                               OOMPH_CURRENT_FUNCTION,
                               OOMPH_EXCEPTION_LOCATION);
       }
     }

References oomph::SpineNode::node_update_fct_id(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::TwoLayerSpineMesh< ELEMENT >::spine_node_update_lower(), and oomph::TwoLayerSpineMesh< ELEMENT >::spine_node_update_upper().

◆ spine_node_update_lower()

template<class ELEMENT >

void oomph::TwoLayerSpineMesh< ELEMENT >::spine_node_update_lower ( SpineNode * spine_node_pt )

inlineprotected

Update function for the lower part of the domain.

     {
       // Get fraction along the spine
       double W = spine_node_pt->fraction();
       // Get spine height
       double H = spine_node_pt->h();
       // Set the value of y
       spine_node_pt->x(1) = this->Ymin + W * H;
     }

References oomph::SpineNode::fraction(), H, oomph::SpineNode::h(), oomph::QuadTreeNames::W, oomph::Node::x(), and oomph::RectangularQuadMesh< ELEMENT >::Ymin.

Referenced by oomph::TwoLayerSpineMesh< ELEMENT >::spine_node_update().

◆ spine_node_update_upper()

template<class ELEMENT >

void oomph::TwoLayerSpineMesh< ELEMENT >::spine_node_update_upper ( SpineNode * spine_node_pt )

inlineprotected

Update function for the upper part of the domain.

     {
       // Get fraction alon the spine
       double W = spine_node_pt->fraction();
  
       // Get spine height
       double H = spine_node_pt->h();
  
       // Set the value of y
       spine_node_pt->x(1) =
         (this->Ymin + H) + W * (this->Ymax - (this->Ymin + H));
     }

References oomph::SpineNode::fraction(), H, oomph::SpineNode::h(), oomph::QuadTreeNames::W, oomph::Node::x(), oomph::RectangularQuadMesh< ELEMENT >::Ymax, and oomph::RectangularQuadMesh< ELEMENT >::Ymin.

Referenced by oomph::TwoLayerSpineMesh< ELEMENT >::spine_node_update().

◆ upper_layer_element_pt()

template<class ELEMENT >

FiniteElement*& oomph::TwoLayerSpineMesh< ELEMENT >::upper_layer_element_pt ( const unsigned long & i )

inline

Access functions for pointers to elements in upper layer.

     {
       return Upper_layer_element_pt[i];
     }

References i, and oomph::TwoLayerSpineMesh< ELEMENT >::Upper_layer_element_pt.

◆ x_spacing_function()

template<class ELEMENT >

double oomph::TwoLayerSpineMesh< ELEMENT >::x_spacing_function	(	unsigned	xelement,
		unsigned	xnode,
		unsigned	yelement,
		unsigned	ynode
	)

protectedvirtual

The spacing function for the x co-ordinates with two regions.

The spacing function for the x co-ordinate, which is the same as the default function.

Reimplemented from oomph::RectangularQuadMesh< ELEMENT >.

   {
     // Calculate the values of equal increments in nodal values
     double xstep = (this->Xmax - this->Xmin) / ((this->Np - 1) * this->Nx);
     // Return the appropriate value
     return (this->Xmin + xstep * ((this->Np - 1) * xelement + xnode));
   }

References GlobalParameters::Nx.

◆ y_spacing_function()

template<class ELEMENT >

double oomph::TwoLayerSpineMesh< ELEMENT >::y_spacing_function	(	unsigned	xelement,
		unsigned	xnode,
		unsigned	yelement,
		unsigned	ynode
	)

protectedvirtual

The spacing function for the y co-ordinates with three regions in each fluid.

The spacing function for the y co-ordinates, which splits the region into two regions (1 and 2), according to the heights H1 and H2, with Ny1 and Ny2 elements respectively.

Reimplemented from oomph::RectangularQuadMesh< ELEMENT >.

   {
     // Set up some spacing parameters
     // The lower region a starts at Ymin
     double Ymin = RectangularQuadMesh<ELEMENT>::Ymin;
     // The upper region a ends at Ymax
     double Ymax = RectangularQuadMesh<ELEMENT>::Ymax;
     // Number of nodes per element
     unsigned n_p = RectangularQuadMesh<ELEMENT>::Np;
     // The lower region starts at Ymin
     double y1init = Ymin;
     // The upper region starts at H1 - Ymin
     double y2init = H1 - Ymin;
     // Calculate the space between each node in each region,
     // Assumming uniform spacing
     // Lower region has a length (H1-Ymin)
     double y1step = (H1 - Ymin) / ((n_p - 1) * Ny1);
     // Upper region has a length (Ymax-H1)
     double y2step = (Ymax - H1) / ((n_p - 1) * Ny2);
  
     // Now return the actual node position, it's different in the two
     // regions, of course
     if (yelement < Ny1)
     {
       return (y1init + y1step * ((n_p - 1) * yelement + ynode));
     }
     else
     {
       return (y2init + y2step * ((n_p - 1) * (yelement - Ny1) + ynode));
     }
   }

Referenced by oomph::TwoLayerSpineMesh< ELEMENT >::nupper(), and oomph::TwoLayerSpineMesh< ELEMENT >::upper_layer_element_pt().

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

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

template<class ELEMENT> class oomph::TwoLayerSpineMesh< ELEMENT >

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Constructor & Destructor Documentation

◆ TwoLayerSpineMesh() [1/3]

◆ TwoLayerSpineMesh() [2/3]

◆ TwoLayerSpineMesh() [3/3]

Member Function Documentation

◆ build_two_layer_mesh()

◆ interface_lower_boundary_element_pt()

◆ interface_lower_face_index_at_boundary()

◆ interface_upper_boundary_element_pt()

◆ interface_upper_face_index_at_boundary()

◆ lower_layer_element_pt()

◆ ninterface_lower()

◆ ninterface_upper()

◆ nlower()

◆ nupper()

◆ spine_node_update()

◆ spine_node_update_lower()

◆ spine_node_update_upper()

◆ upper_layer_element_pt()

◆ x_spacing_function()

◆ y_spacing_function()

Member Data Documentation

◆ H1

◆ H2

◆ Interface_lower_boundary_element_pt

◆ Interface_upper_boundary_element_pt

◆ Lower_layer_element_pt

◆ Ny1

◆ Ny2

◆ Upper_layer_element_pt

template<class ELEMENT>
class oomph::TwoLayerSpineMesh< ELEMENT >