A class for representing displaced/deformed boundary faces. More...

#include <boundaryFace.hh>

Detailed Description

template<class Grid, class Face, class Displacement, int dimw = Face::dimensionworld>
class Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >

A class for representing displaced/deformed boundary faces.

We distinguish three cases:

boundary faces of volume grids: these are characterized by facedimension==celldimension-1 and celldimension==griddimension==worlddimension.
cells of a d-dimensional grid in a d+1-dimensional space: these are characterized by dimension==dimensionworld-1 and mydimension==dimension. Examples are surface meshes embedded in3D space.
cells of a d-dimensional grid in a d-dimensional space that are deformed into a d+1-dimensional world: these are characterized by dimensionworld==dimension+1. Examples are planar grids deformed into 3D space, e.g., for shell or membrane mechanics.

In the first case, Face denotes a face in the grid, i.e. a codimension 1 entity. In the other two cases, Face denotes a grid cell (a codimension 0 entity).

Definition at line 44 of file boundaryFace.hh.

Public Types
using	ctype = typename Face::ctype

using	Cell = typename Grid::Codim< 0 >::Entity

using	LocalPosition = Dune::FieldVector< ctype, facedimension >
	Local position vector in the face's reference simplex. More...

using	GlobalPosition = Dune::FieldVector< ctype, worlddimension >
	Global position in the world. More...

using	CellLocalPosition = Dune::FieldVector< ctype, celldimension >
	Local position in the grid cell to which this face belongs. More...

using	CellGlobalPosition = Dune::FieldVector< ctype, griddimension >
	Global position of the grid. More...

Public Member Functions
	BoundaryFace (Face const &f, Displacement const *d=nullptr)
	Constructor. More...

	~BoundaryFace ()

Face const &	gridFace () const

std::pair< GlobalPosition, GlobalPosition >	boundingBox () const
	Computes the axis-aligned bounding box. More...

Dune::GeometryType	type () const
	Returns the type of reference face. More...

ctype	volume () const
	Computes the area of the deformed face. More...

GlobalPosition	global (LocalPosition const &xi) const
	Computes the global world position of the given local coordinate. More...

GlobalPosition	unitOuterNormal (LocalPosition const &xi) const
	Computes the unit outer normal of the deformed face. More...

std::optional< std::pair< LocalPosition, ctype > >	intersection (GlobalPosition const &a, GlobalPosition const &b) const
	Computes the intersection of the boundary face with the given line segment \( [a,b] \), if there is any. More...

Static Public Attributes
static int const	facedimension = Face::mydimension

static int const	celldimension = Grid::dimension

static int const	griddimension = Face::dimensionworld

static int const	worlddimension = dimw

Member Typedef Documentation

◆ Cell

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

using Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::Cell = typename Grid::Codim<0>::Entity

Definition at line 53 of file boundaryFace.hh.

◆ CellGlobalPosition

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

using Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::CellGlobalPosition = Dune::FieldVector<ctype,griddimension>

Global position of the grid.

Definition at line 82 of file boundaryFace.hh.

◆ CellLocalPosition

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

using Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::CellLocalPosition = Dune::FieldVector<ctype,celldimension>

Local position in the grid cell to which this face belongs.

Definition at line 77 of file boundaryFace.hh.

◆ ctype

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

using Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::ctype = typename Face::ctype

Definition at line 52 of file boundaryFace.hh.

◆ GlobalPosition

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

using Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::GlobalPosition = Dune::FieldVector<ctype,worlddimension>

Global position in the world.

Definition at line 72 of file boundaryFace.hh.

◆ LocalPosition

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

using Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::LocalPosition = Dune::FieldVector<ctype,facedimension>

Local position vector in the face's reference simplex.

Definition at line 67 of file boundaryFace.hh.

Constructor & Destructor Documentation

◆ BoundaryFace()

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::BoundaryFace	(	Face const &	f,
		Displacement const *	d = `nullptr`
	)

Constructor.

◆ ~BoundaryFace()

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::~BoundaryFace ( )

Member Function Documentation

◆ boundingBox()

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

std::pair< GlobalPosition, GlobalPosition > Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::boundingBox ( ) const

Computes the axis-aligned bounding box.

◆ global()

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

GlobalPosition Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::global ( LocalPosition const & xi ) const

Computes the global world position of the given local coordinate.

◆ gridFace()

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

Face const & Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::gridFace ( ) const

inline

Definition at line 91 of file boundaryFace.hh.

◆ intersection()

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

std::optional< std::pair< LocalPosition, ctype > > Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::intersection	(	GlobalPosition const &	a,
		GlobalPosition const &	b
	)		const

Computes the intersection of the boundary face with the given line segment \( [a,b] \), if there is any.

Returns: a pair \( (\xi,t) \) of local position and line parameter, such that \( \mathrm{global}(\xi) \approx (1-t)a+tb \) holds.

◆ type()

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

Dune::GeometryType Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::type ( ) const

inline

Returns the type of reference face.

Definition at line 104 of file boundaryFace.hh.

◆ unitOuterNormal()

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

GlobalPosition Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::unitOuterNormal ( LocalPosition const & xi ) const

Computes the unit outer normal of the deformed face.

◆ volume()

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

ctype Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::volume ( ) const

inline

Computes the area of the deformed face.

Definition at line 112 of file boundaryFace.hh.

Member Data Documentation

◆ celldimension

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

int const Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::celldimension = Grid::dimension

static

Definition at line 48 of file boundaryFace.hh.

◆ facedimension

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

int const Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::facedimension = Face::mydimension

static

Definition at line 47 of file boundaryFace.hh.

◆ griddimension

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

int const Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::griddimension = Face::dimensionworld

static

Definition at line 49 of file boundaryFace.hh.

◆ worlddimension

template<class Grid , class Face , class Displacement , int dimw = Face::dimensionworld>

int const Kaskade::BoundaryFace< Grid, Face, Displacement, dimw >::worlddimension = dimw

static

Definition at line 50 of file boundaryFace.hh.

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

boundaryFace.hh

Detailed Description

Public Types

Public Member Functions

Static Public Attributes

Member Typedef Documentation

◆ Cell

◆ CellGlobalPosition

◆ CellLocalPosition

◆ ctype

◆ GlobalPosition

◆ LocalPosition

Constructor & Destructor Documentation

◆ BoundaryFace()

◆ ~BoundaryFace()

Member Function Documentation

◆ boundingBox()

◆ global()

◆ gridFace()

◆ intersection()

◆ type()

◆ unitOuterNormal()

◆ volume()

Member Data Documentation

◆ celldimension

◆ facedimension

◆ griddimension

◆ worlddimension