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

#include <LRSplineFields3Dmx.h>

Inheritance diagram for LRSplineFields3Dmx:

Collaboration diagram for LRSplineFields3Dmx:

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Public Member Functions
	LRSplineFields3Dmx (const ASMu3Dmx patch, const RealArray &v, char basis=123, const char name=nullptr)
	The constructor sets the number of space dimensions and fields. More...

virtual	~LRSplineFields3Dmx ()
	Empty destructor.

bool	valueNode (size_t node, Vector &vals) const
	Computes the value in a given node/control point. More...

bool	valueCoor (const Vec4 &x, Vector &vals) const
	Computes the value at a given global coordinate. More...

bool	valueFE (const ItgPoint &x, Vector &vals) const
	Computes the value at a given local 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 ASMu3Dmx *	vol
	Patch description.

std::set< int >	bases
	Bases to use.

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 mixed vector field at a given point in parametrical or physical coordinates.

Constructor & Destructor Documentation

◆ LRSplineFields3Dmx()

LRSplineFields3Dmx::LRSplineFields3Dmx	(	const ASMu3Dmx *	patch,
		const RealArray &	v,
		char	basis = `123`,
		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]	name	Name of spline field

References bases, utl::vector< T >::begin(), ASMu3Dmx::getNoFields(), ASMu3Dmx::getNoNodes(), Fields::nf, Fields::nno, utl::vector< T >::resize(), and Fields::values.

Member Function Documentation

◆ gradFE()

bool LRSplineFields3Dmx::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 bases, LRSplineField::evalBasis(), LRSplineField::evalMapping(), ASMu3Dmx::getBasis(), ASMu3Dmx::getNoFields(), ASMu3Dmx::getNoNodes(), ASMmxBase::itgBasis, utl::matrix< T >::multiply(), utl::matrix< T >::resize(), Fields::values, and vol.

◆ hessianFE()

bool LRSplineFields3Dmx::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 bases, LRSplineField::evalBasis(), LRSplineField::evalMapping(), ASMu3Dmx::getBasis(), ASMu3Dmx::getNoFields(), ASMu3Dmx::getNoNodes(), ASMmxBase::itgBasis, utl::matrix3d< T >::multiply(), utl::matrix3d< T >::resize(), Fields::values, and vol.

◆ valueCoor()

bool LRSplineFields3Dmx::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 LRSplineFields3Dmx::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 bases, utl::vector< T >::begin(), utl::vector< T >::dot(), ASMu3Dmx::getBasis(), ASMu3Dmx::getNoNodes(), utl::vector< T >::resize(), ItgPoint::u, ItgPoint::v, Fields::values, vol, and ItgPoint::w.

Referenced by valueCoor().

◆ valueNode()

bool LRSplineFields3Dmx::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.

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

src/ASM/LR/LRSplineFields3Dmx.h
src/ASM/LR/LRSplineFields3Dmx.C

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ LRSplineFields3Dmx()

Member Function Documentation

◆ gradFE()

◆ hessianFE()

◆ valueCoor()

◆ valueFE()

◆ valueNode()