1D geometry information More...

#include <Geometry0D.h>

Inheritance diagram for Nektar::SpatialDomains::Geometry0D:

Public Member Functions
	Geometry0D ()

	Geometry0D (const int coordim)

	~Geometry0D () override

Public Member Functions inherited from Nektar::SpatialDomains::Geometry
	Geometry ()
	Default constructor. More...

	Geometry (int coordim)
	Constructor when supplied a coordinate dimension. More...

virtual	~Geometry ()
	Default destructor. More...

int	GetCoordim () const
	Return the coordinate dimension of this object (i.e. the dimension of the space in which this object is embedded). More...

void	SetCoordim (int coordim)
	Sets the coordinate dimension of this object (i.e. the dimension of the space in which this object is embedded). More...

GeomFactorsSharedPtr	GetGeomFactors ()
	Get the geometric factors for this object, generating them if required. More...

GeomFactorsSharedPtr	GetRefGeomFactors (const Array< OneD, const LibUtilities::BasisSharedPtr > &tbasis)

GeomFactorsSharedPtr	GetMetricInfo ()
	Get the geometric factors for this object. More...

LibUtilities::ShapeType	GetShapeType (void)
	Get the geometric shape type of this object. More...

int	GetGlobalID (void) const
	Get the ID of this object. More...

void	SetGlobalID (int globalid)
	Set the ID of this object. More...

int	GetVid (int i) const
	Get the ID of vertex `i` of this object. More...

int	GetEid (int i) const
	Get the ID of edge `i` of this object. More...

int	GetFid (int i) const
	Get the ID of face `i` of this object. More...

int	GetTid (int i) const
	Get the ID of trace `i` of this object. More...

PointGeomSharedPtr	GetVertex (int i) const
	Returns vertex `i` of this object. More...

Geometry1DSharedPtr	GetEdge (int i) const
	Returns edge `i` of this object. More...

Geometry2DSharedPtr	GetFace (int i) const
	Returns face `i` of this object. More...

StdRegions::Orientation	GetEorient (const int i) const
	Returns the orientation of edge `i` with respect to the ordering of edges in the standard element. More...

StdRegions::Orientation	GetForient (const int i) const
	Returns the orientation of face `i` with respect to the ordering of faces in the standard element. More...

int	GetNumVerts () const
	Get the number of vertices of this object. More...

int	GetNumEdges () const
	Get the number of edges of this object. More...

int	GetNumFaces () const
	Get the number of faces of this object. More...

int	GetShapeDim () const
	Get the object's shape dimension. More...

StdRegions::StdExpansionSharedPtr	GetXmap () const
	Return the mapping object Geometry::m_xmap that represents the coordinate transformation from standard element to physical element. More...

const Array< OneD, const NekDouble > &	GetCoeffs (const int i) const
	Return the coefficients of the transformation Geometry::m_xmap in coordinate direction `i`. More...

void	FillGeom ()
	Populate the coordinate mapping Geometry::m_coeffs information from any children geometry elements. More...

std::array< NekDouble, 6 >	GetBoundingBox ()
	Generates the bounding box for the element. More...

void	ClearBoundingBox ()

bool	ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, NekDouble tol=0.0)
	Determine whether an element contains a particular Cartesian coordinate \((x,y,z)\). More...

bool	ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, Array< OneD, NekDouble > &locCoord, NekDouble tol)
	Determine whether an element contains a particular Cartesian coordinate \((x,y,z)\). More...

bool	ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, Array< OneD, NekDouble > &locCoord, NekDouble tol, NekDouble &dist)
	Determine whether an element contains a particular Cartesian coordinate \(\vec{x} = (x,y,z)\). More...

NekDouble	GetLocCoords (const Array< OneD, const NekDouble > &coords, Array< OneD, NekDouble > &Lcoords)
	Determine the local collapsed coordinates that correspond to a given Cartesian coordinate for this geometry object. More...

NekDouble	GetCoord (const int i, const Array< OneD, const NekDouble > &Lcoord)
	Given local collapsed coordinate `Lcoord`, return the value of physical coordinate in direction `i`. More...

int	PreliminaryCheck (const Array< OneD, const NekDouble > &gloCoord)
	A fast and robust check if a given global coord is outside of a deformed element. For regular elements, this check is unnecessary. More...

bool	MinMaxCheck (const Array< OneD, const NekDouble > &gloCoord)
	Check if given global coord is within the BoundingBox of the element. More...

bool	ClampLocCoords (Array< OneD, NekDouble > &locCoord, NekDouble tol=std::numeric_limits< NekDouble >::epsilon())
	Clamp local coords to be within standard regions [-1, 1]^dim. More...

NekDouble	FindDistance (const Array< OneD, const NekDouble > &xs, Array< OneD, NekDouble > &xi)

int	GetVertexEdgeMap (int i, int j) const
	Returns the standard element edge IDs that are connected to a given vertex. More...

int	GetVertexFaceMap (int i, int j) const
	Returns the standard element face IDs that are connected to a given vertex. More...

int	GetEdgeFaceMap (int i, int j) const
	Returns the standard element edge IDs that are connected to a given face. More...

int	GetEdgeNormalToFaceVert (int i, int j) const
	Returns the standard lement edge IDs that are normal to a given face vertex. More...

int	GetDir (const int i, const int j=0) const
	Returns the element coordinate direction corresponding to a given face coordinate direction. More...

void	Reset (CurveMap &curvedEdges, CurveMap &curvedFaces)
	Reset this geometry object: unset the current state, zero Geometry::m_coeffs and remove allocated GeomFactors. More...

void	Setup ()

Static Public Attributes
static const int	kDim = 0

Protected Member Functions
bool	v_ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, Array< OneD, NekDouble > &locCoord, NekDouble tol, NekDouble &dist) override
	Determine whether an element contains a particular Cartesian coordinate \(\vec{x} = (x,y,z)\). More...

int	v_GetShapeDim () const override
	Get the object's shape dimension. More...

Protected Member Functions inherited from Nektar::SpatialDomains::Geometry
void	GenGeomFactors ()
	Handles generation of geometry factors. More...

virtual PointGeomSharedPtr	v_GetVertex (int i) const =0

virtual Geometry1DSharedPtr	v_GetEdge (int i) const
	Returns edge `i` of this object. More...

virtual Geometry2DSharedPtr	v_GetFace (int i) const
	Returns face `i` of this object. More...

virtual StdRegions::Orientation	v_GetEorient (const int i) const
	Returns the orientation of edge `i` with respect to the ordering of edges in the standard element. More...

virtual StdRegions::Orientation	v_GetForient (const int i) const
	Returns the orientation of face `i` with respect to the ordering of faces in the standard element. More...

virtual int	v_GetNumVerts () const
	Get the number of vertices of this object. More...

virtual int	v_GetNumEdges () const
	Get the number of edges of this object. More...

virtual int	v_GetNumFaces () const
	Get the number of faces of this object. More...

virtual int	v_GetShapeDim () const
	Get the object's shape dimension. More...

virtual StdRegions::StdExpansionSharedPtr	v_GetXmap () const
	Return the mapping object Geometry::m_xmap that represents the coordinate transformation from standard element to physical element. More...

virtual void	v_FillGeom ()
	Populate the coordinate mapping Geometry::m_coeffs information from any children geometry elements. More...

virtual bool	v_ContainsPoint (const Array< OneD, const NekDouble > &gloCoord, Array< OneD, NekDouble > &locCoord, NekDouble tol, NekDouble &dist)
	Determine whether an element contains a particular Cartesian coordinate \(\vec{x} = (x,y,z)\). More...

virtual int	v_AllLeftCheck (const Array< OneD, const NekDouble > &gloCoord)

virtual NekDouble	v_GetCoord (const int i, const Array< OneD, const NekDouble > &Lcoord)
	Given local collapsed coordinate `Lcoord`, return the value of physical coordinate in direction `i`. More...

virtual NekDouble	v_GetLocCoords (const Array< OneD, const NekDouble > &coords, Array< OneD, NekDouble > &Lcoords)
	Determine the local collapsed coordinates that correspond to a given Cartesian coordinate for this geometry object. More...

virtual NekDouble	v_FindDistance (const Array< OneD, const NekDouble > &xs, Array< OneD, NekDouble > &xi)

virtual int	v_GetVertexEdgeMap (int i, int j) const
	Returns the standard element edge IDs that are connected to a given vertex. More...

virtual int	v_GetVertexFaceMap (int i, int j) const
	Returns the standard element face IDs that are connected to a given vertex. More...

virtual int	v_GetEdgeFaceMap (int i, int j) const
	Returns the standard element edge IDs that are connected to a given face. More...

virtual int	v_GetEdgeNormalToFaceVert (const int i, const int j) const
	Returns the standard lement edge IDs that are normal to a given face vertex. More...

virtual int	v_GetDir (const int faceidx, const int facedir) const
	Returns the element coordinate direction corresponding to a given face coordinate direction. More...

virtual void	v_Reset (CurveMap &curvedEdges, CurveMap &curvedFaces)
	Reset this geometry object: unset the current state, zero Geometry::m_coeffs and remove allocated GeomFactors. More...

virtual void	v_Setup ()

virtual void	v_GenGeomFactors ()=0

void	SetUpCoeffs (const int nCoeffs)
	Initialise the Geometry::m_coeffs array. More...

virtual void	v_CalculateInverseIsoParam ()

Additional Inherited Members
Static Protected Member Functions inherited from Nektar::SpatialDomains::Geometry
static GeomFactorsSharedPtr	ValidateRegGeomFactor (GeomFactorsSharedPtr geomFactor)
	Check to see if a geometric factor has already been created that contains the same regular information. More...

Protected Attributes inherited from Nektar::SpatialDomains::Geometry
int	m_coordim
	Coordinate dimension of this geometry object. More...

GeomFactorsSharedPtr	m_geomFactors
	Geometric factors. More...

GeomState	m_geomFactorsState
	State of the geometric factors. More...

StdRegions::StdExpansionSharedPtr	m_xmap
	\(\chi\) mapping containing isoparametric transformation. More...

GeomState	m_state
	Enumeration to dictate whether coefficients are filled. More...

bool	m_setupState
	Wether or not the setup routines have been run. More...

GeomType	m_geomType
	Type of geometry. More...

LibUtilities::ShapeType	m_shapeType
	Type of shape. More...

int	m_globalID
	Global ID. More...

Array< OneD, Array< OneD, NekDouble > >	m_coeffs
	Array containing expansion coefficients of `m_xmap`. More...

Array< OneD, NekDouble >	m_boundingBox
	Array containing bounding box. More...

Array< OneD, Array< OneD, NekDouble > >	m_isoParameter

Array< OneD, Array< OneD, NekDouble > >	m_invIsoParam

int	m_straightEdge

Static Protected Attributes inherited from Nektar::SpatialDomains::Geometry
static GeomFactorsVector	m_regGeomFactorsManager

Detailed Description

1D geometry information

Definition at line 51 of file Geometry0D.h.

Constructor & Destructor Documentation

◆ Geometry0D() [1/2]

Nektar::SpatialDomains::Geometry0D::Geometry0D ( )

Definition at line 40 of file Geometry0D.cpp.

                       : Geometry()
{
}

◆ Geometry0D() [2/2]

Nektar::SpatialDomains::Geometry0D::Geometry0D ( const int coordim )

Definition at line 44 of file Geometry0D.cpp.

                                        : Geometry(coordim)
{
}

◆ ~Geometry0D()

Nektar::SpatialDomains::Geometry0D::~Geometry0D ( )

override

Definition at line 48 of file Geometry0D.cpp.

49{

50}

Member Function Documentation

◆ v_ContainsPoint()

bool Nektar::SpatialDomains::Geometry0D::v_ContainsPoint	(	const Array< OneD, const NekDouble > &	gloCoord,
		Array< OneD, NekDouble > &	locCoord,
		NekDouble	tol,
		NekDouble &	dist
	)

overrideprotectedvirtual

Determine whether an element contains a particular Cartesian coordinate \(\vec{x} = (x,y,z)\).

For curvilinear and non-affine elements (i.e. where the Jacobian varies as a function of the standard element coordinates), this is a non-linear optimisation problem that requires the use of a Newton iteration. Note therefore that this can be an expensive operation.

The parameter tol which is by default 0, can be used to expand the coordinate range of the standard element from \([-1,1]^d\) to \([-1-\epsilon,1+\epsilon\) to handle challenging edge cases. The function also returns the local coordinates corresponding to gloCoord that can be used to speed up subsequent searches.

Parameters

gloCoord	The coordinate \( (x,y,z) \).
locCoord	On exit, this is the local coordinate \(\vec{\xi}\) such that \(\chi(\vec{\xi}) = \vec{x}\).
tol	The tolerance used to dictate the bounding box of the standard coordinates \(\vec{\xi}\).
dist	On exit, returns the minimum distance between `gloCoord` and the quadrature points inside the element.

Returns: true if the coordinate gloCoord is contained in the element; false otherwise.

See also: Geometry::GetLocCoords. dist is assigned value for curved elements

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 57 of file Geometry0D.cpp.

{
    NEKERROR(ErrorUtil::efatal,
             "This function has not been defined for 0D geometry");
    return false;
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

◆ v_GetShapeDim()

int Nektar::SpatialDomains::Geometry0D::v_GetShapeDim ( ) const

overrideprotectedvirtual

Get the object's shape dimension.

For example, a segment is one dimensional and quadrilateral is two dimensional.

Reimplemented from Nektar::SpatialDomains::Geometry.

Definition at line 52 of file Geometry0D.cpp.

{
    return 0;
}

Member Data Documentation

◆ kDim

const int Nektar::SpatialDomains::Geometry0D::kDim = 0

static

Definition at line 58 of file Geometry0D.h.

Public Member Functions

Static Public Attributes

Protected Member Functions

Additional Inherited Members