SplineFields2D Class Reference

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

#include <SplineFields2D.h>

Inheritance diagram for SplineFields2D:

Collaboration diagram for SplineFields2D:

Public Member Functions
	SplineFields2D (const ASMs2D *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...
	SplineFields2D (const Go::SplineSurface *srf, const RealArray &v, int ncmp, const char *name=nullptr)
	Construct directly from surface. More...
virtual	~SplineFields2D ()
	Empty destructor.
virtual bool	valueNode (size_t node, Vector &vals) const
	Computes the value in a given node/control point. More...
virtual bool	valueFE (const ItgPoint &x, Vector &vals) const
	Computes the value at a given local coordinate. More...
virtual bool	valueCoor (const Vec4 &x, Vector &vals) const
	Computes the value at a given global coordinate. More...
virtual 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 Go::SplineSurface *	basis
	Spline basis description.
const Go::SplineSurface *	surf
	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.

Private Attributes
unsigned char	nsd
	Number of space dimensions.

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 spline-based finite element vector fields in 2D.

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

Constructor & Destructor Documentation

SplineFields2D() [1/2]

SplineFields2D::SplineFields2D	(	const ASMs2D *	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 in field
[in]	name	Name of spline field

References basis, utl::vector< T >::begin(), ASMbase::getNoFields(), ASMs2D::getNoNodes(), ASMbase::getNoSpaceDim(), Fields::nelm, Fields::nf, Fields::nno, nsd, utl::vector< T >::resize(), and Fields::values.

SplineFields2D() [2/2]

SplineFields2D::SplineFields2D	(	const Go::SplineSurface *	srf,
		const RealArray &	v,
		int	ncmp,
		const char *	name = nullptr
	)

Construct directly from surface.

Parameters

[in]	srf	The spline surface 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, nsd, and Fields::values.

Member Function Documentation

gradFE()

bool SplineFields2D::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, utl::matrixBase< T >::empty(), SplineField::evalBasis(), SplineField::evalMapping(), utl::gather(), utl::matrix< T >::multiply(), Fields::nf, nsd, surf, and Fields::values.

hessianFE()

bool SplineFields2D::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, SplineField::evalBasis(), SplineField::evalMapping(), utl::gather(), utl::matrix3d< T >::multiply(), Fields::nf, nsd, surf, and Fields::values.

valueCoor()

bool SplineFields2D::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 surf, Vec4::u, valueFE(), Vec3::x, Vec3::y, and Vec3::z.

valueFE()

bool SplineFields2D::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::gather(), utl::matrix< T >::multiply(), Fields::nf, ASMs2D::scatterInd(), ItgPoint::u, ItgPoint::v, and Fields::values.

Referenced by valueCoor().

valueNode()

bool SplineFields2D::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/SplineFields2D.h
• src/ASM/SplineFields2D.C