Shape Class Reference

Represents the shape functions used in the interpolation process. More...

#include <Shape.h>

Inheritance diagram for Shape:

Collaboration diagram for Shape:

Public Member Functions
	Shape ()
	Default constructor.
virtual	~Shape ()
	Default destructor.
virtual void	update (const Vector3d &particle_position, const Vector3d &nodal_position, const Vector3d &cell_dimension, const Vector3d &particle_size)=0
	Update the shape functions and its gradients.
const Vector3d &	getShape () const
	Return the shape function values.
const Vector3d &	getDerivate () const
	Returns the derivates values.
void	setShape (double sx, double sy, double sz)
	Configure the shape function values.
void	setDerivate (double gx, double gy, double gz)
	Configure the nodal shape function derivates.

Private Member Functions
virtual double	computeGradient (double pI_position, double cell_dimension, double lp)=0
	Returns the gradient of the shape function.
virtual double	computeShape (double pI_position, double cell_dimension, double lp)=0
	Returns the shape function value.

Private Attributes
Vector3d	shape
	shape function values
Vector3d	derivate
	shape function gradient values

Detailed Description

Represents the shape functions used in the interpolation process.

Constructor & Destructor Documentation

Shape()

Shape::Shape ( )

inline

Default constructor.

~Shape()

Shape::~Shape ( )

inlinevirtual

Default destructor.

Member Function Documentation

computeGradient()

virtual double Shape::computeGradient ( double pI_position, double cell_dimension, double lp )

privatepure virtual

Returns the gradient of the shape function.

Parameters

[in]	pI_position	Relative position of the particle \(p\) respect to the node: \(x_p-x_I\)
[in]	cell_dimension	Cell dimension in the direction
[in]	lp	Half current particle size

Returns

The gradient of the shape function: \(dS_{Ip}/di\)

Implemented in ShapeGimp, and ShapeLinear.

computeShape()

virtual double Shape::computeShape ( double pI_position, double cell_dimension, double lp )

privatepure virtual

Returns the shape function value.

Parameters

[in]	pI_position	Relative position of the particle \(p\) respect to the node: \(x_p-x_I\)
[in]	cell_dimension	Cell dimension in the direction
[in]	lp	Half current particle size

Returns

The shape function value \(S_{Ip}\)

Implemented in ShapeGimp, and ShapeLinear.

getDerivate()

const Vector3d & Shape::getDerivate ( ) const

inline

Returns the derivates values.

Returns

The derivates of the nodal shape function \(dS_{Ip}/dx, dS_{Ip}/dy, dS_{Ip}/dz\)

getShape()

const Vector3d & Shape::getShape ( ) const

inline

Return the shape function values.

Returns

The nodal shape function value \(S_{Ipx}, S_{Ipy}, S_{Ipy}\)

setDerivate()

void Shape::setDerivate ( double gx, double gy, double gz )

inline

Configure the nodal shape function derivates.

The nodal derivate shape function values: \(dS_{Ip}/dx, dS_{Ip}/dy, dS_{Ip}/dz\)

Parameters

[in]	gx	The nodal derivate shape function value in X
[in]	gy	The nodal derivate shape function value in Y
[in]	gz	The nodal derivate shape function value in Z

setShape()

void Shape::setShape ( double sx, double sy, double sz )

inline

Configure the shape function values.

Nodal shape function values: \(S_{Ipx}, S_{Ipy}, S_{Ipy}\)

Parameters

[in]	sx	The nodal shape function value in X
[in]	sy	The nodal shape function value in Y
[in]	sz	The nodal shape function value in Z

update()

virtual void Shape::update ( const Vector3d & particle_position, const Vector3d & nodal_position, const Vector3d & cell_dimension, const Vector3d & particle_size )

pure virtual

Update the shape functions and its gradients.

Parameters

[in]	particle_position	Particle position
[in]	nodal_position	Nodal position
[in]	cell_dimension	Cell dimension
[in]	particle_size	Particle size

Implemented in ShapeGimp, and ShapeLinear.

Member Data Documentation

derivate

Vector3d Shape::derivate

private

shape function gradient values

shape

Vector3d Shape::shape

private

shape function values

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

• Shape.h