AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM > Class Template Reference

#include <AbstractLinearParabolicPde.hpp>

List of all members.

Public Member Functions
virtual double	ComputeDuDtCoefficientFunction (const ChastePoint< SPACE_DIM > &rX)=0
virtual double	ComputeSourceTerm (const ChastePoint< SPACE_DIM > &rX, double u)=0
virtual double	ComputeSourceTermAtNode (const Node< SPACE_DIM > &rNode, double u)
virtual c_matrix< double, SPACE_DIM, SPACE_DIM >	ComputeDiffusionTerm (const ChastePoint< SPACE_DIM > &rX, Element< ELEMENT_DIM, SPACE_DIM > *pElement=NULL)=0
virtual	~AbstractLinearParabolicPde ()

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Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM>
class AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >

AbstractLinearParabolicPde class.

A general PDE of the form: c(x) du/dt = Grad.(DiffusionTerm(x)*Grad(u))+LinearSourceTerm(x)+NonlinearSourceTerm(x, u)

Definition at line 46 of file AbstractLinearParabolicPde.hpp.

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Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM>

virtual AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::~AbstractLinearParabolicPde

(

)

[inline, virtual]

Destructor.

Definition at line 85 of file AbstractLinearParabolicPde.hpp.

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Member Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM>

virtual c_matrix<double, SPACE_DIM, SPACE_DIM> AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::ComputeDiffusionTerm	(	const ChastePoint< SPACE_DIM > &	rX,
		Element< ELEMENT_DIM, SPACE_DIM > *	pElement = NULL
	)			[pure virtual]

Compute diffusion term. The diffusion tensor should be symmetric and positive definite.

Parameters:

	rX	The point in space at which the diffusion term is computed.
	pElement	The mesh element that x is contained in (optional).

Returns:

A matrix.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM>

virtual double AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::ComputeDuDtCoefficientFunction

(

const ChastePoint< SPACE_DIM > &

rX

)

[pure virtual]

The function c(x) in "c(x) du/dt = Grad.(DiffusionTerm(x)*Grad(u))+LinearSourceTerm(x)+NonlinearSourceTerm(x, u)"

Parameters:

rX

the point in space at which the function c is computed

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM>

virtual double AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::ComputeSourceTerm	(	const ChastePoint< SPACE_DIM > &	rX,
		double	u
	)			[pure virtual]

Compute source term.

Parameters:

	rX	the point in space at which the nonlinear source term is computed
	u	the value of the dependent variable at the point

Referenced by AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::ComputeSourceTermAtNode().

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

double AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::ComputeSourceTermAtNode	(	const Node< SPACE_DIM > &	rNode,
		double	u
	)			[inline, virtual]

Compute source term at a node.

Parameters:

	rNode	the node at which the nonlinear source term is computed
	u	the value of the dependent variable at the node

Definition at line 97 of file AbstractLinearParabolicPde.hpp.

References AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::ComputeSourceTerm(), and Node< SPACE_DIM >::GetPoint().

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

• pde/src/problem/AbstractLinearParabolicPde.hpp