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

#include <SplineField2D.h>

Inheritance diagram for SplineField2D:

Collaboration diagram for SplineField2D:

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Public Member Functions
	SplineField2D (const ASMs2D patch, const RealArray &v, char basis=1, char cmp=1, const char name=nullptr)
	The constructor sets the number of space dimensions and fields. More...

	SplineField2D (const Go::SplineSurface srf, const RealArray &v, const char name=nullptr)
	Construct directly from surface. More...

virtual	~SplineField2D ()
	Empty destructor.

virtual double	valueNode (size_t node) const
	Computes the value in a given node/control point. More...

virtual double	valueFE (const ItgPoint &x) const
	Computes the value at a given local coordinate. More...

virtual double	valueCoor (const Vec4 &x) const
	Computes the value at a given global coordinate. More...

virtual bool	valueGrid (RealArray &val, const int *npe) const
	Computes the value at a grid of visualization points. More...

virtual bool	gradFE (const ItgPoint &x, Vector &grad) const
	Computes the gradient for a given local coordinate. More...

virtual bool	hessianFE (const ItgPoint &x, Matrix &H) const
	Computes the hessian for a given local coordinate. More...

Public Member Functions inherited from FieldBase
virtual	~FieldBase ()
	Empty destructor.

size_t	getNoElm () const
	Returns the number of elements.

size_t	getNoNodes () const
	Returns the number of nodal/control points.

Public Member Functions inherited from Field
virtual	~Field ()
	Empty destructor.

const char *	getFieldName () const
	Returns the name of field.

virtual bool	gradCoor (const Vec4 &x, Vector &grad) const
	Computes the gradient for a given global/physical coordinate. More...

Protected Attributes
const Go::SplineSurface *	basis
	Spline basis description.

const Go::SplineSurface *	surf
	Spline geometry description.

Protected Attributes inherited from FieldBase
size_t	nelm
	Number of elements/knot-spans.

size_t	nno
	Number of nodes/control points.

Vector	values
	Nodal field values.

Protected Attributes inherited from Field
std::string	fname
	Name of the field.

Private Attributes
unsigned char	nsd
	Number of space dimensions.

Additional Inherited Members
Static Public Member Functions inherited from Field
static Field *	create (const ASMbase pch, const RealArray &v, char basis=1, char cmp=1, const char name=nullptr)
	Creates a dynamically allocated field object. More...

Protected Member Functions inherited from FieldBase
	FieldBase (const char *name=nullptr)
	The constructor sets the field name. More...

Protected Member Functions inherited from Field
	Field (const char *name=nullptr)
	The constructor sets the field name. More...

Detailed Description

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

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

Constructor & Destructor Documentation

◆ SplineField2D() [1/2]

SplineField2D::SplineField2D	(	const ASMs2D *	patch,
		const RealArray &	v,
		char	basis = `1`,
		char	cmp = `1`,
		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]	cmp	Component to use from source field. Pass 0 to use vector as-is.
[in]	name	Name of spline field

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

◆ SplineField2D() [2/2]

SplineField2D::SplineField2D	(	const Go::SplineSurface *	srf,
		const RealArray &	v,
		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]	name	Name of spline field

References FieldBase::values.

Member Function Documentation

◆ gradFE()

bool SplineField2D::gradFE	(	const ItgPoint &	x,
		Vector &	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 Field.

References basis, SplineField::evalBasis(), SplineField::evalMapping(), utl::gather(), utl::matrix< T >::multiply(), nsd, surf, and FieldBase::values.

◆ hessianFE()

bool SplineField2D::hessianFE	(	const ItgPoint &	x,
		Matrix &	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 Field.

References basis, SplineField::evalBasis(), SplineField::evalMapping(), utl::gather(), utl::matrix3d< T >::multiply(), nsd, utl::matrix< T >::resize(), surf, and FieldBase::values.

◆ valueCoor()

double SplineField2D::valueCoor ( const Vec4 & x ) const

virtual

Computes the value at a given global coordinate.

Parameters

[in] x Global/physical coordinate for point

Reimplemented from Field.

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

◆ valueFE()

double SplineField2D::valueFE ( const ItgPoint & x ) const

virtual

Computes the value at a given local coordinate.

Parameters

[in] x Local coordinate of evaluation point

Implements Field.

References basis, utl::vector< T >::dot(), utl::gather(), ASMs2D::scatterInd(), ItgPoint::u, ItgPoint::v, and FieldBase::values.

Referenced by valueCoor().

◆ valueGrid()

bool SplineField2D::valueGrid	(	RealArray &	val,
		const int *	npe
	)		const

virtual

Computes the value at a grid of visualization points.

Parameters

[out]	val	Field values at the visualization points
[in]	npe	Number of visualization nodes over each knot span

Reimplemented from Field.

References basis, utl::vector< T >::dot(), utl::gather(), ASMs2D::scatterInd(), and FieldBase::values.

◆ valueNode()

double SplineField2D::valueNode ( size_t node ) const

virtual

Computes the value in a given node/control point.

Parameters

[in] node Node number

Implements Field.

References FieldBase::nno, and FieldBase::values.

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

src/ASM/SplineField2D.h
src/ASM/SplineField2D.C

Public Member Functions

Protected Attributes

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ SplineField2D() [1/2]

◆ SplineField2D() [2/2]

Member Function Documentation

◆ gradFE()

◆ hessianFE()

◆ valueCoor()

◆ valueFE()

◆ valueGrid()

◆ valueNode()