Quad mesh built on top of triangle scaffold mesh coming from the triangle mesh generator Triangle. http://www.cs.cmu.edu/~quake/triangle.html. More...

#include <quad_from_triangle_mesh.template.h>

Inheritance diagram for oomph::QuadFromTriangleMesh< ELEMENT >:

Public Member Functions
	QuadFromTriangleMesh ()
	Empty constructor. More...

	QuadFromTriangleMesh (const std::string &node_file_name, const std::string &element_file_name, const std::string &poly_file_name, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper, const bool &use_attributes=false, const bool &allow_automatic_creation_of_vertices_on_boundaries=true)
	Constructor with the input files. More...

	QuadFromTriangleMesh (TriangleMeshParameters &triangle_mesh_parameters, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
	Build mesh, based on the specifications on TriangleMeshParameters. All the actual work is done in UnstructuredTwoDMeshGeometryBase. More...

void	generic_constructor (Vector< TriangleMeshPolygon * > &outer_boundary_pt, Vector< TriangleMeshPolygon * > &internal_polygon_pt, Vector< TriangleMeshOpenCurve * > &open_polylines_pt, const double &element_area, Vector< Vector< double >> &extra_holes_coordinates, std::map< unsigned, Vector< double >> &regions_coordinates, std::map< unsigned, double > &regions_areas, TimeStepper *time_stepper_pt, const bool &use_attributes, const bool &refine_boundary, const bool &refine_internal_boundary)
	A general-purpose construction function that builds the mesh once the different specific constructors have assembled the appropriate information. More...

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

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

	~QuadFromTriangleMesh ()
	Empty destructor. More...

void	build_from_scaffold (TriangleScaffoldMesh tmp_mesh_pt, TimeStepper time_stepper_pt, const bool &use_attributes)
	Build the quad mesh from the given scaffold mesh. More...

Public Attributes
TimeStepper *	Time_stepper_pt
	Timestepper used to build elements. More...

bool	Use_attributes
	Boolean flag to indicate whether to use attributes or not (required for multidomain meshes) More...

Detailed Description

template<class ELEMENT>
class oomph::QuadFromTriangleMesh< ELEMENT >

Quad mesh built on top of triangle scaffold mesh coming from the triangle mesh generator Triangle. http://www.cs.cmu.edu/~quake/triangle.html.

Definition at line 70 of file quad_from_triangle_mesh.template.h.

Constructor & Destructor Documentation

◆ QuadFromTriangleMesh() [1/4]

template<class ELEMENT >

oomph::QuadFromTriangleMesh< ELEMENT >::QuadFromTriangleMesh ( )

inline

Empty constructor.

Definition at line 75 of file quad_from_triangle_mesh.template.h.

◆ QuadFromTriangleMesh() [2/4]

template<class ELEMENT >

oomph::QuadFromTriangleMesh< ELEMENT >::QuadFromTriangleMesh	(	const std::string &	node_file_name,
		const std::string &	element_file_name,
		const std::string &	poly_file_name,
		TimeStepper *	time_stepper_pt = `&Mesh::Default_TimeStepper`,
		const bool &	use_attributes = `false`,
		const bool &	allow_automatic_creation_of_vertices_on_boundaries = `true`
	)

inline

Constructor with the input files.

Definition at line 88 of file quad_from_triangle_mesh.template.h.

References oomph::QuadFromTriangleMesh< ELEMENT >::build_from_scaffold(), oomph::QuadFromTriangleMesh< ELEMENT >::Time_stepper_pt, and oomph::QuadFromTriangleMesh< ELEMENT >::Use_attributes.

◆ QuadFromTriangleMesh() [3/4]

template<class ELEMENT >

oomph::QuadFromTriangleMesh< ELEMENT >::QuadFromTriangleMesh	(	TriangleMeshParameters &	triangle_mesh_parameters,
		TimeStepper *	time_stepper_pt = `&Mesh::Default_TimeStepper`
	)

inline

Build mesh, based on the specifications on TriangleMeshParameters. All the actual work is done in UnstructuredTwoDMeshGeometryBase.

Definition at line 133 of file quad_from_triangle_mesh.template.h.

◆ QuadFromTriangleMesh() [4/4]

template<class ELEMENT >

oomph::QuadFromTriangleMesh< ELEMENT >::QuadFromTriangleMesh ( const QuadFromTriangleMesh< ELEMENT > & dummy )

delete

Broken copy constructor.

◆ ~QuadFromTriangleMesh()

template<class ELEMENT >

oomph::QuadFromTriangleMesh< ELEMENT >::~QuadFromTriangleMesh ( )

inline

Empty destructor.

Definition at line 521 of file quad_from_triangle_mesh.template.h.

Member Function Documentation

◆ build_from_scaffold()

template<class ELEMENT >

void oomph::QuadFromTriangleMesh< ELEMENT >::build_from_scaffold	(	TriangleScaffoldMesh *	tmp_mesh_pt,
		TimeStepper *	time_stepper_pt,
		const bool &	use_attributes
	)

Build the quad mesh from the given scaffold mesh.

Build the full mesh with the help of the scaffold mesh coming from the triangle mesh generator, Triangle. To build this quad element based mesh we make use of the fact that a triangle element can be split as shown in the diagram below:

             N2
            | |                 N0 : 1st scaffold element node
           |   |                N1 : 2nd scaffold element node
          |     |               N2 : 3rd scaffold element node
         |       |
      C |   Q_2   | B           Edge 0 : N0 --> N1
       | |       | |            Edge 1 : N1 --> N2
      |   |     |   |           Edge 2 : N2 --> N0
     |     |   |     |
    |       | |       |         A : Midpoint of edge 0
   |   Q_0   |   Q_1   |        B : Midpoint of edge 1
  |          |          |       C : Midpoint of edge 2
 |           |           |
N0 __________|__________ N1
             A

The intersection of all three quad elements is the centroid. Using this splitting, the subsequent mesh will consist of quadrilaterals whose shape which depend on the structure of the underlying mesh.

Definition at line 71 of file quad_from_triangle_mesh.template.cc.

Referenced by oomph::QuadFromTriangleMesh< ELEMENT >::generic_constructor(), and oomph::QuadFromTriangleMesh< ELEMENT >::QuadFromTriangleMesh().

◆ generic_constructor()

template<class ELEMENT >

void oomph::QuadFromTriangleMesh< ELEMENT >::generic_constructor	(	Vector< TriangleMeshPolygon * > &	outer_boundary_pt,
		Vector< TriangleMeshPolygon * > &	internal_polygon_pt,
		Vector< TriangleMeshOpenCurve * > &	open_polylines_pt,
		const double &	element_area,
		Vector< Vector< double >> &	extra_holes_coordinates,
		std::map< unsigned, Vector< double >> &	regions_coordinates,
		std::map< unsigned, double > &	regions_areas,
		TimeStepper *	time_stepper_pt,
		const bool &	use_attributes,
		const bool &	refine_boundary,
		const bool &	refine_internal_boundary
	)