LagrangeFields3D Class Reference

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

#include <LagrangeFields3D.h>

Inheritance diagram for LagrangeFields3D:

Collaboration diagram for LagrangeFields3D:

Public Member Functions
	LagrangeFields3D (const ASMs3DLag *patch, const RealArray &v, char basis=1, const char *name=nullptr)
	The constructor sets the number of space dimensions and fields. More...
virtual	~LagrangeFields3D ()
	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	gradFE (const ItgPoint &x, Matrix &grad) const
	Computes the gradient 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	valueCoor (const Vec4 &x, Vector &vals) const
	Computes the value for a given global coordinate. More...
virtual bool	gradCoor (const Vec4 &x, Matrix &grad) const
	Computes the gradient for a given global coordinate. More...
virtual bool	hessianFE (const ItgPoint &x, Matrix3D &H) const
	Computes the hessian for a given local coordinate. More...

Protected Types
using	IntMat = std::vector< std::vector< int > >
	Convenience type.

Protected Attributes
Matrix	coord
	Matrix of nodel coordinates.
IntMat	mnpc
	Matrix of element nodes.
int	p1
	Element order in first parameter direction.
int	p2
	Element order in second parameter direction.
int	p3
	Element order in third parameter direction.
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 Lagrange-based finite element vector fields in 3D.

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

Constructor & Destructor Documentation

LagrangeFields3D()

LagrangeFields3D::LagrangeFields3D	(	const ASMs3DLag *	patch,
		const RealArray &	v,
		char	basis = 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]	name	Name of field

References utl::vector< T >::begin(), coord, ASMs3DLag::getNodalCoordinates(), ASMbase::getNoElms(), ASMs3D::getNoNodes(), ASMs3DLag::getOrder(), Fields::nelm, Fields::nf, Fields::nno, p1, p2, p3, utl::vector< T >::resize(), and Fields::values.

Member Function Documentation

gradFE()

bool LagrangeFields3D::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 Lagrange::computeBasis(), coord, utl::matrixBase< T >::empty(), ItgPoint::eta, utl::matrix< T >::fillColumn(), utl::matrix< T >::getColumn(), ItgPoint::iel, utl::Jacobian(), mnpc, utl::matrix< T >::multiply(), Fields::nelm, Fields::nf, p1, p2, p3, utl::vector< T >::ptr(), utl::matrix< T >::resize(), Fields::values, ItgPoint::xi, and ItgPoint::zeta.

valueFE()

bool LagrangeFields3D::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 Lagrange::computeBasis(), ItgPoint::eta, ItgPoint::iel, mnpc, Fields::nelm, Fields::nf, p1, p2, p3, utl::vector< T >::resize(), Fields::values, ItgPoint::xi, and ItgPoint::zeta.

valueNode()

bool LagrangeFields3D::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/LagrangeFields3D.h
• src/ASM/LagrangeFields3D.C