RefElement< dim > Class Template Reference

#include <ref_element.hh>

Collaboration diagram for RefElement< dim >:

Public Types
typedef arma::vec::fixed< dim >	LocalPoint
typedef arma::vec::fixed< dim+1 >	BaryPoint
typedef arma::vec::fixed< dim >	FaceBaryPoint
typedef std::vector< BaryPoint >	BarycentricUnitVec
typedef const std::vector< LocalPoint > &	CentersList

Public Member Functions
template<>
const unsigned int	side_permutations [][n_nodes_per_side]
template<>
const unsigned int	side_permutations [][n_nodes_per_side]
template<>
const unsigned int	side_permutations [][n_nodes_per_side]
template<>
const unsigned int	side_nodes [][1]
template<>
const unsigned int	side_nodes [][2]
template<>
const unsigned int	side_nodes [][3]
template<>
const unsigned int	side_lines [][3]
template<>
const unsigned int	line_nodes [][2]
template<>
const std::vector< std::vector< std::vector< unsigned int > > >	nodes_of_subelements
template<>
const std::vector< std::vector< std::vector< unsigned int > > >	nodes_of_subelements
template<>
const std::vector< std::vector< std::vector< unsigned int > > >	nodes_of_subelements
template<>
vec::fixed< 1 >	normal_vector (unsigned int sid)
template<>
vec::fixed< 2 >	normal_vector (unsigned int sid)
template<>
vec::fixed< 3 >	normal_vector (unsigned int sid)
template<>
auto	clip (const BaryPoint &barycentric) -> BaryPoint
template<>
double	side_measure (unsigned int sid)
template<>
double	side_measure (unsigned int sid)
template<>
double	side_measure (unsigned int sid)
template<>
unsigned int	line_between_faces (unsigned int f1, unsigned int f2)

Static Public Member Functions
static LocalPoint	node_coords (unsigned int nid)
static BaryPoint	node_barycentric_coords (unsigned int nid)
static LocalPoint	normal_vector (unsigned int sid)
static BaryPoint	clip (const BaryPoint &barycentric)
static double	side_measure (unsigned int sid)
static unsigned int	oposite_node (unsigned int sid)
static unsigned int	line_between_faces (unsigned int f1, unsigned int f2)
static unsigned int	permutation_index (unsigned int p[n_nodes_per_side])
static BarycentricUnitVec	make_bary_unit_vec ()
static FaceBaryPoint	barycentric_on_face (const BaryPoint &barycentric, unsigned int i_face)
static BaryPoint	barycentric_from_face (const FaceBaryPoint &face_barycentric, unsigned int i_face)
static CentersList	centers_of_subelements (unsigned int sub_dim)

Static Public Attributes
static const unsigned int	n_sides = dim + 1
static const unsigned int	n_nodes = dim + 1
static const unsigned int	n_nodes_per_side = dim
static const unsigned int	n_lines_per_side = ( dim == 3 ? 3 : 0)
	Number of lines on boundary of one side. More...
static const unsigned int	n_lines = ( dim == 3 ? 6 : 0)
	Number of lines, i.e. object of dimension dim-2 on the boundary of the reference element. More...
static const unsigned int	side_nodes [n_sides][n_nodes_per_side]
static const unsigned int	side_lines [n_sides][n_lines_per_side]
static const unsigned int	line_nodes [n_lines][2]
static const std::vector< std::vector< std::vector< unsigned int > > >	nodes_of_subelements
static const unsigned int	n_side_permutations = (dim+1)*(2*dim*dim-5*dim+6)/6
static const unsigned int	side_permutations [n_side_permutations][n_nodes_per_side]

Detailed Description

template<unsigned int dim>
class RefElement< dim >

Definition at line 113 of file ref_element.hh.

Member Typedef Documentation

template<unsigned int dim>

typedef std::vector<BaryPoint> RefElement< dim >::BarycentricUnitVec

Definition at line 222 of file ref_element.hh.

template<unsigned int dim>

typedef arma::vec::fixed<dim+1> RefElement< dim >::BaryPoint

Definition at line 117 of file ref_element.hh.

template<unsigned int dim>

typedef const std::vector<LocalPoint>& RefElement< dim >::CentersList

Definition at line 244 of file ref_element.hh.

template<unsigned int dim>

typedef arma::vec::fixed<dim> RefElement< dim >::FaceBaryPoint

Definition at line 118 of file ref_element.hh.

template<unsigned int dim>

typedef arma::vec::fixed<dim> RefElement< dim >::LocalPoint

Definition at line 116 of file ref_element.hh.

Member Function Documentation

template<unsigned int dim>

auto RefElement< dim >::barycentric_from_face ( const FaceBaryPoint &  face_barycentric, unsigned int  i_face  )

static

For given barycentric coordinates on the face returns barycentric coordinates on the ref. element. Barycentric order: (local_coords, complanatory)

Definition at line 210 of file ref_element.cc.

template<unsigned int dim>

auto RefElement< dim >::barycentric_on_face ( const BaryPoint &  barycentric, unsigned int  i_face  )

static

For given barycentric coordinates on the ref element returns barycentric coordinates on the ref. element of given face. Assumes that the input point is on the face. Barycentric order: (local_coords, complanatory)

Definition at line 196 of file ref_element.cc.

template<unsigned int dim>

auto RefElement< dim >::centers_of_subelements ( unsigned int  sub_dim )

static

Definition at line 277 of file ref_element.cc.

template<unsigned int dim>

auto RefElement< dim >::clip ( const BaryPoint &  barycentric )

static

If the given barycentric coordinate is in the ref. element, return unchanged. If the given barycentric coordinate is out of the ref. element, project it on the surface of the ref. element.

Definition at line 243 of file ref_element.cc.

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template<>

auto RefElement< 0 >::clip

(

const BaryPoint &

barycentric

)

-> BaryPoint

Definition at line 223 of file ref_element.cc.

template<unsigned int dim>

static unsigned int RefElement< dim >::line_between_faces ( unsigned int  f1, unsigned int  f2  )

static

Return index of 1D line, shared by two faces f1 and f2 of the reference tetrahedron. Implemented only for dim == 3.

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template<>

unsigned int RefElement< 3 >::line_between_faces	(	unsigned int	f1,
		unsigned int	f2
	)

Definition at line 334 of file ref_element.cc.

template<>

const unsigned int RefElement< 3 >::line_nodes

(

)

Definition at line 80 of file ref_element.cc.

template<unsigned int dim>

auto RefElement< dim >::make_bary_unit_vec ( )

static

Used in the clip method.

Definition at line 229 of file ref_element.cc.

template<unsigned int dim>

vec::fixed< dim+1 > RefElement< dim >::node_barycentric_coords ( unsigned int  nid )

static

Return barycentric coordinates of given node.

Parameters

nid	Node number.

Definition at line 125 of file ref_element.cc.

template<unsigned int dim>

vec::fixed< dim > RefElement< dim >::node_coords ( unsigned int  nid )

static

Return local coordinates of given node.

Parameters

nid	Node number.

Definition at line 110 of file ref_element.cc.

template<>

const std::vector< std::vector< std::vector< unsigned int > > > RefElement< 1 >::nodes_of_subelements

(

)

Definition at line 90 of file ref_element.cc.

template<>

const std::vector< std::vector< std::vector< unsigned int > > > RefElement< 2 >::nodes_of_subelements

(

)

Definition at line 95 of file ref_element.cc.

template<>

const std::vector< std::vector< std::vector< unsigned int > > > RefElement< 3 >::nodes_of_subelements

(

)

Definition at line 101 of file ref_element.cc.

template<unsigned int dim>

static LocalPoint RefElement< dim >::normal_vector ( unsigned int  sid )

static

Compute normal vector to a given side.

Parameters

sid	Side number.

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template<>

vec::fixed< 1 > RefElement< 1 >::normal_vector

(

unsigned int

sid

)

Definition at line 142 of file ref_element.cc.

template<>

vec::fixed< 2 > RefElement< 2 >::normal_vector

(

unsigned int

sid

)

Definition at line 150 of file ref_element.cc.

template<>

vec::fixed< 3 > RefElement< 3 >::normal_vector

(

unsigned int

sid

)

Definition at line 172 of file ref_element.cc.

template<unsigned int dim>

unsigned int RefElement< dim >::oposite_node ( unsigned int  sid )

inlinestatic

Returns index of the node that is oposite to side of given index sid. Note: It is dependent on current node and side numbering.

Parameters

sid	Side number.

Definition at line 251 of file ref_element.hh.

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template<unsigned int dim>

unsigned int RefElement< dim >::permutation_index ( unsigned int  p[n_nodes_per_side] )

static

For a given permutation p of nodes finds its index within side_permutations.

Parameters

p	Permutation of nodes.

Definition at line 346 of file ref_element.cc.

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template<>

const unsigned int RefElement< 3 >::side_lines

(

)

Definition at line 71 of file ref_element.cc.

template<unsigned int dim>

static double RefElement< dim >::side_measure ( unsigned int  sid )

static

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template<>

double RefElement< 1 >::side_measure

(

unsigned int

sid

)

Definition at line 305 of file ref_element.cc.

template<>

double RefElement< 2 >::side_measure

(

unsigned int

sid

)

Definition at line 314 of file ref_element.cc.

template<>

double RefElement< 3 >::side_measure

(

unsigned int

sid

)

Definition at line 323 of file ref_element.cc.

template<>

const unsigned int RefElement< 1 >::side_nodes

(

)

Definition at line 51 of file ref_element.cc.

template<>

const unsigned int RefElement< 2 >::side_nodes

(

)

Definition at line 56 of file ref_element.cc.

template<>

const unsigned int RefElement< 3 >::side_nodes

(

)

Definition at line 62 of file ref_element.cc.

template<>

const unsigned int RefElement< 1 >::side_permutations

(

)

Definition at line 37 of file ref_element.cc.

template<>

const unsigned int RefElement< 2 >::side_permutations

(

)

Definition at line 39 of file ref_element.cc.

template<>

const unsigned int RefElement< 3 >::side_permutations

(

)

Definition at line 41 of file ref_element.cc.

Member Data Documentation

template<unsigned int dim>

const unsigned int RefElement< dim >::line_nodes[n_lines][2]

static

Nodes of 1D lines of the tetrahedron.

Definition at line 196 of file ref_element.hh.

template<unsigned int dim>

const unsigned int RefElement< dim >::n_lines = ( dim == 3 ? 6 : 0)

static

Number of lines, i.e. object of dimension dim-2 on the boundary of the reference element.

Definition at line 181 of file ref_element.hh.

template<unsigned int dim>

const unsigned int RefElement< dim >::n_lines_per_side = ( dim == 3 ? 3 : 0)

static

Number of lines on boundary of one side.

Definition at line 178 of file ref_element.hh.

template<unsigned int dim>

const unsigned int RefElement< dim >::n_nodes = dim + 1

static

Number of vertices.

Definition at line 170 of file ref_element.hh.

template<unsigned int dim>

const unsigned int RefElement< dim >::n_nodes_per_side = dim

static

Number of nodes on one side.

Definition at line 175 of file ref_element.hh.

template<unsigned int dim>

const unsigned int RefElement< dim >::n_side_permutations = (dim+1)*(2*dim*dim-5*dim+6)/6

static

Number of permutations of nodes on sides.

dim value

1 1 2 2 3 6

Definition at line 209 of file ref_element.hh.

template<unsigned int dim>

const unsigned int RefElement< dim >::n_sides = dim + 1

static

Number of sides.

Definition at line 165 of file ref_element.hh.

template<unsigned int dim>

const std::vector< std::vector< std::vector<unsigned int> > > RefElement< dim >::nodes_of_subelements

static

Definition at line 199 of file ref_element.hh.

template<unsigned int dim>

const unsigned int RefElement< dim >::side_lines[n_sides][n_lines_per_side]

static

Indices of 1D lines of the 2D sides of an tetrahedron. Nonempty only for dim==3.

Definition at line 191 of file ref_element.hh.

template<unsigned int dim>

const unsigned int RefElement< dim >::side_nodes[n_sides][n_nodes_per_side]

static

Node numbers for each side.

Definition at line 186 of file ref_element.hh.

template<unsigned int dim>

const unsigned int RefElement< dim >::side_permutations[n_side_permutations][n_nodes_per_side]

static

Permutations of nodes on sides.

Definition at line 214 of file ref_element.hh.

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

• /opt/flow123d/flow123d/src/mesh/ref_element.hh
• /opt/flow123d/flow123d/src/mesh/ref_element.cc