Class for mixed spline-based finite element vector fields in 2D. More...

#include <SplineFields2Dmx.h>

Inheritance diagram for SplineFields2Dmx:

Collaboration diagram for SplineFields2Dmx:

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Public Member Functions
	SplineFields2Dmx (const ASMs2Dmx patch, const RealArray &v, char basis=12, const char name=nullptr)
	The constructor sets the number of space dimensions and fields. More...

virtual	~SplineFields2Dmx ()
	Empty destructor.

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

virtual 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 ASMs2Dmx *	surf
	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 mixed spline-based finite element vector fields in 2D.

This class implements the methods required to evaluate a 2D mixed spline vector field at a given point in parametrical or physical coordinates.

Constructor & Destructor Documentation

◆ SplineFields2Dmx()

SplineFields2Dmx::SplineFields2Dmx	(	const ASMs2Dmx *	patch,
		const RealArray &	v,
		char	basis = `12`,
		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	Bases to use from patch
[in]	name	Name of spline field

References bases, utl::vector< T >::begin(), ASMs2Dmx::getNoFields(), ASMs2Dmx::getNoNodes(), Fields::nf, Fields::nno, utl::vector< T >::resize(), and Fields::values.

Member Function Documentation

◆ gradFE()

bool SplineFields2Dmx::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, utl::vector< T >::begin(), SplineField::evalBasis(), SplineField::evalMapping(), utl::gather(), ASMs2Dmx::getBasis(), ASMs2Dmx::getNoFields(), ASMs2Dmx::getNoNodes(), ASMbase::getNoSpaceDim(), ASMmxBase::itgBasis, utl::matrix< T >::multiply(), utl::matrix< T >::resize(), surf, ASMs2Dmx::usePiola(), and Fields::values.

◆ hessianFE()

bool SplineFields2Dmx::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, utl::vector< T >::begin(), SplineField::evalBasis(), SplineField::evalMapping(), utl::gather(), ASMs2Dmx::getBasis(), ASMs2Dmx::getNoFields(), ASMs2Dmx::getNoNodes(), ASMbase::getNoSpaceDim(), ASMmxBase::itgBasis, utl::matrix3d< T >::multiply(), utl::matrix3d< T >::resize(), surf, ASMs2Dmx::usePiola(), and Fields::values.

◆ valueCoor()

bool SplineFields2Dmx::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 ASMs2Dmx::getBasis(), ASMmxBase::itgBasis, surf, Vec4::u, valueFE(), Vec3::x, Vec3::y, and Vec3::z.

◆ valueFE()

bool SplineFields2Dmx::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(), ASMs2Dmx::evalSolutionPiola(), utl::gather(), ASMs2Dmx::getBasis(), ASMs2Dmx::getNoNodes(), utl::matrix< T >::multiply(), utl::vector< T >::resize(), ASMs2D::scatterInd(), surf, ItgPoint::u, ASMs2Dmx::usePiola(), ItgPoint::v, and Fields::values.

Referenced by valueCoor().

◆ valueNode()

bool SplineFields2Dmx::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/SplineFields2Dmx.h
src/ASM/SplineFields2Dmx.C

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ SplineFields2Dmx()

Member Function Documentation

◆ gradFE()

◆ hessianFE()

◆ valueCoor()

◆ valueFE()

◆ valueNode()