concepts::MappingHexahedronEdge3d Class Reference

3D element map for an edge as part of a Hexahedron. More...

#include <mappingEdge3D.hh>

Inheritance diagram for concepts::MappingHexahedronEdge3d:

Public Member Functions
MappingHexahedronEdge3d *	clone () const override
	Virtual constructor. More...
Real3d	derivative (const Real t, const uint n=1) const override
	Evaluates the n-th derivative of the edge mapping at the coordinate t. More...
MappingHexahedronEdge3d *	inverse () const override
	Create a heap-allocated copy of this edge with reversed parametrization. More...
	MappingHexahedronEdge3d (const MappingHexahedron3d &map, const Real3d xi, const Real3d diff)
	Constructor for an locally straight edge inside the hexahedron. More...
	MappingHexahedronEdge3d (const MappingHexahedron3d &map, const uint edge)
	Constructor for an edge as a part of a parent hexahedron. More...
	MappingHexahedronEdge3d (const MappingHexahedronEdge3d &other)
	Copy Constructor. More...
Real3d	operator() (const Real t) const override
	Evaluates the edge mapping at the coordinate t. More...
const Real3d &	vtx (uint i) const
	Returns i-th physical vertex of the edge. More...
	~MappingHexahedronEdge3d () override

Protected Member Functions
std::ostream &	info (std::ostream &os) const override
	Returns information in an output stream. More...

Protected Attributes
std::array< Real3d, 2 >	vtx_
	Physical vertices . More...

Private Member Functions
const Real3d	lcoord_ (const Real t) const
	Embedding of local coordinates to parent hexahedron reference domain. More...
const Real3d	lderiv_ (const Real t) const
	Derivative of the local embedding. More...

Private Attributes
Real3d	diff_
std::unique_ptr< MappingHexahedron3d >	map_
	Mapping of the parent hexahedron. More...
Real3d	xi_
	Vertex and edge vector in hexahedral coordinates. More...

Detailed Description

3D element map for an edge as part of a Hexahedron.

Let be the parent hexahedron. Then this element mapping is defined by

If constructed by an edge index, this map chooses xi and diff according to that index as defined by the "standard" orientation in the topology

Todo:

Possibly avoid copying the parent element (switch from unique_ptr to shared_ptr internally)

Author

, Lukas Drescher, 2014

Definition at line 161 of file mappingEdge3D.hh.

Constructor & Destructor Documentation

MappingHexahedronEdge3d() [1/3]

concepts::MappingHexahedronEdge3d::MappingHexahedronEdge3d	(	const MappingHexahedron3d &	map,
		const uint	edge
	)

Constructor for an edge as a part of a parent hexahedron.

Possible modification: Reference-count the parent hexahedron mapping

Parameters

map	of the parent hexahedron
edge	number of edge,

MappingHexahedronEdge3d() [2/3]

concepts::MappingHexahedronEdge3d::MappingHexahedronEdge3d	(	const MappingHexahedron3d &	map,
		const Real3d	xi,
		const Real3d	diff
	)

Constructor for an locally straight edge inside the hexahedron.

Parameters

map	of the parent hexahedorn
xi	local coordinates of first vertex
diff	vector from first to second vertex

MappingHexahedronEdge3d() [3/3]

concepts::MappingHexahedronEdge3d::MappingHexahedronEdge3d

(

const MappingHexahedronEdge3d &

other

)

Copy Constructor.

~MappingHexahedronEdge3d()

concepts::MappingHexahedronEdge3d::~MappingHexahedronEdge3d ( )

inlineoverride

Definition at line 182 of file mappingEdge3D.hh.

Member Function Documentation

clone()

MappingHexahedronEdge3d* concepts::MappingHexahedronEdge3d::clone ( ) const

overridevirtual

Virtual constructor.

Create a heap-allocated copy of this edge.

Returns

Pointer to heap-allocated edge copy. To be deleted by the user.

Implements concepts::MappingEdge3d.

derivative()

Real3d concepts::MappingHexahedronEdge3d::derivative ( const Real  t, const uint  n = 1  ) const

overridevirtual

Evaluates the n-th derivative of the edge mapping at the coordinate t.

Parameters

n	order of the derivative (<= 1 for most concrete types)

Returns

Implements concepts::MappingEdge3d.

info()

std::ostream& concepts::MappingHexahedronEdge3d::info ( std::ostream &  os ) const

overrideprotectedvirtual

Returns information in an output stream.

Reimplemented from concepts::MappingEdge3d.

inverse()

MappingHexahedronEdge3d* concepts::MappingHexahedronEdge3d::inverse ( ) const

overridevirtual

Create a heap-allocated copy of this edge with reversed parametrization.

Returns

Pointer to heap-allocated edge copy. Has to be deleted by the user.

Implements concepts::MappingEdge3d.

lcoord_()

const Real3d concepts::MappingHexahedronEdge3d::lcoord_ ( const Real  t ) const

inlineprivate

Embedding of local coordinates to parent hexahedron reference domain.

Definition at line 195 of file mappingEdge3D.hh.

lderiv_()

const Real3d concepts::MappingHexahedronEdge3d::lderiv_ ( const Real  t ) const

inlineprivate

Derivative of the local embedding.

Definition at line 199 of file mappingEdge3D.hh.

operator()()

Real3d concepts::MappingHexahedronEdge3d::operator() ( const Real  t ) const

overridevirtual

Evaluates the edge mapping at the coordinate t.

Returns

Implements concepts::MappingEdge3d.

vtx()

const Real3d& concepts::MappingEdge3d::vtx ( uint  i ) const

inlineinherited

Returns i-th physical vertex of the edge.

Returns

Definition at line 64 of file mappingEdge3D.hh.

Member Data Documentation

diff_

Real3d concepts::MappingHexahedronEdge3d::diff_

private

Definition at line 192 of file mappingEdge3D.hh.

map_

std::unique_ptr<MappingHexahedron3d> concepts::MappingHexahedronEdge3d::map_

private

Mapping of the parent hexahedron.

Definition at line 190 of file mappingEdge3D.hh.

vtx_

std::array<Real3d,2> concepts::MappingEdge3d::vtx_

protectedinherited

Physical vertices .

Definition at line 68 of file mappingEdge3D.hh.

xi_

Real3d concepts::MappingHexahedronEdge3d::xi_

private

Vertex and edge vector in hexahedral coordinates.

Definition at line 192 of file mappingEdge3D.hh.

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

• geometry/mappingEdge3D.hh