LRSplineFields3D Class Reference

Class for LR spline-based finite element vector fields in 3D. More...

#include <LRSplineFields3D.h>

Inheritance diagram for LRSplineFields3D:

Collaboration diagram for LRSplineFields3D:

Public Member Functions
	LRSplineFields3D (const ASMu3D *patch, const RealArray &v, char basis=1, int nf=0, const char *name=nullptr)
	The constructor sets the number of space dimensions and fields. More...
	LRSplineFields3D (const LR::LRSplineVolume *svol, const RealArray &v, int ncmp, const char *name=nullptr)
	Construct directly from volume. More...
virtual	~LRSplineFields3D ()
	Empty destructor.
bool	valueNode (size_t node, Vector &vals) const
	Computes the value in a given node/control point. More...
bool	valueFE (const ItgPoint &x, Vector &vals) const
	Computes the value at a given local coordinate. More...
bool	valueCoor (const Vec4 &x, Vector &vals) const
	Computes the value at a given global coordinate. More...
bool	gradFE (const ItgPoint &x, Matrix &grad) const
	Computes the gradient for a given local coordinate. More...
virtual bool	hessianFE (const ItgPoint &x, Matrix3D &H) const
	Computes the hessian for a given local coordinate. More...
Public Member Functions inherited from Fields
virtual	~Fields ()
	Empty destructor.
unsigned char	getNoFields () const
	Returns the number of field components.
size_t	getNoElm () const
	Returns the number of elements.
size_t	getNoNodes () const
	Returns the number of nodal/control points.
const char *	getFieldName () const
	Returns the name of field.
virtual bool	gradCoor (const Vec4 &x, Matrix &grad) const
	Computes the gradient for a given global coordinate. More...

Protected Attributes
const LR::LRSplineVolume *	basis
	Spline basis description.
const LR::LRSplineVolume *	vol
	Spline geometry description.
Protected Attributes inherited from Fields
unsigned char	nf
	Number of field components.
size_t	nelm
	Number of elements/knot-spans.
size_t	nno
	Number of nodes/control points.
std::string	fname
	Name of the field.
Vector	values
	Field values.

Additional Inherited Members
Static Public Member Functions inherited from Fields
static Fields *	create (const ASMbase *pch, const RealArray &v, char basis=1, int nf=0, const char *name=nullptr)
	Creates a dynamically allocated field object. More...
Protected Member Functions inherited from Fields
	Fields (const char *name=nullptr)
	The constructor sets the field name. More...

Detailed Description

Class for LR spline-based finite element vector fields in 3D.

This class implements the methods required to evaluate a 3D LR spline vector field at a given point in parametrical or physical coordinates.

Constructor & Destructor Documentation

LRSplineFields3D() [1/2]

LRSplineFields3D::LRSplineFields3D	(	const ASMu3D *	patch,
		const RealArray &	v,
		char	basis = 1,
		int	nf = 0,
		const char *	name = nullptr
	)

The constructor sets the number of space dimensions and fields.

Parameters

[in]	patch	The spline patch on which the field is to be defined
[in]	v	Array of control point field values
[in]	basis	Basis to use from patch
[in]	nf	Number of components for field
[in]	name	Name of spline field

References basis, utl::vector< T >::begin(), ASMbase::getNoFields(), ASMu3D::getNoNodes(), Fields::nelm, Fields::nf, Fields::nno, utl::vector< T >::resize(), and Fields::values.

LRSplineFields3D() [2/2]

LRSplineFields3D::LRSplineFields3D	(	const LR::LRSplineVolume *	svol,
		const RealArray &	v,
		int	ncmp,
		const char *	name = nullptr
	)

Construct directly from volume.

Parameters

[in]	svol	The spline volume to use
[in]	v	Array of control point field values
[in]	ncmp	Number of field components
[in]	name	Name of spline field

References Fields::nf, and Fields::values.

Member Function Documentation

gradFE()

bool LRSplineFields3D::gradFE ( const ItgPoint &  x, Matrix &  grad  ) const

virtual

Computes the gradient for a given local coordinate.

Parameters

[in]	x	Local coordinate of evaluation point
[out]	grad	Gradient of solution in a given local coordinate

Implements Fields.

References basis, LRSplineField::evalBasis(), LRSplineField::evalMapping(), utl::matrix< T >::multiply(), Fields::nf, utl::matrix< T >::resize(), Fields::values, and vol.

hessianFE()

bool LRSplineFields3D::hessianFE ( const ItgPoint &  x, Matrix3D &  H  ) const

virtual

Computes the hessian for a given local coordinate.

Parameters

[in]	x	Local coordinate of evaluation point
[out]	H	Hessian of solution in a given local coordinate

Reimplemented from Fields.

References basis, LRSplineField::evalBasis(), LRSplineField::evalMapping(), utl::matrix3d< T >::multiply(), Fields::nf, Fields::values, and vol.

valueCoor()

bool LRSplineFields3D::valueCoor ( const Vec4 &  x, Vector &  vals  ) const

virtual

Computes the value at a given global coordinate.

Parameters

[in]	x	Global/physical coordinate for point
[out]	vals	Values in given physical coordinate

Reimplemented from Fields.

References Vec4::u, and valueFE().

valueFE()

bool LRSplineFields3D::valueFE ( const ItgPoint &  x, Vector &  vals  ) const

virtual

Computes the value at a given local coordinate.

Parameters

[in]	x	Local coordinate of evaluation point
[out]	vals	Values in local point in given element

Implements Fields.

References basis, utl::matrix< T >::multiply(), Fields::nf, ItgPoint::u, ItgPoint::v, Fields::values, and ItgPoint::w.

Referenced by valueCoor().

valueNode()

bool LRSplineFields3D::valueNode ( size_t  node, Vector &  vals  ) const

virtual

Computes the value in a given node/control point.

Parameters

[in]	node	Node number
[out]	vals	Node values

Reimplemented from Fields.

References utl::vector< T >::fill(), Fields::nf, Fields::nno, utl::vector< T >::ptr(), utl::vector< T >::resize(), and Fields::values.

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

• src/ASM/LR/LRSplineFields3D.h
• src/ASM/LR/LRSplineFields3D.C