AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM > Class Template Reference

#include <AbstractLinearParabolicPde.hpp>

Inheritance diagram for AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >:

Collaboration diagram for AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >:

Public Member Functions
	AbstractLinearParabolicPde ()
virtual	~AbstractLinearParabolicPde ()
virtual double	ComputeDuDtCoefficientFunction (const ChastePoint< SPACE_DIM > &rX)=0
virtual double	ComputeSourceTerm (const ChastePoint< SPACE_DIM > &rX, double u, Element< ELEMENT_DIM, SPACE_DIM > *pElement=nullptr)=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
Public Member Functions inherited from AbstractLinearPde< ELEMENT_DIM, SPACE_DIM >
	AbstractLinearPde ()
virtual	~AbstractLinearPde ()

Private Member Functions
template<class Archive >
void	serialize (Archive &archive, const unsigned int version)

Friends
class	boost::serialization::access

Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_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)

Template Parameters

ELEMENT_DIM	Dimension of the elements.
SPACE_DIM	Dimension of the space. If not specified, it defaults to ELEMENT_DIM.

Definition at line 62 of file AbstractLinearParabolicPde.hpp.

Constructor & Destructor Documentation

AbstractLinearParabolicPde()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::AbstractLinearParabolicPde ( )

inline

Constructor.

Definition at line 85 of file AbstractLinearParabolicPde.hpp.

~AbstractLinearParabolicPde()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

virtual AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::~AbstractLinearParabolicPde ( )

inlinevirtual

Destructor.

Definition at line 92 of file AbstractLinearParabolicPde.hpp.

Member Function Documentation

ComputeDiffusionTerm()

template<unsigned ELEMENT_DIM, unsigned SPACE_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

Returns

computed 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.

ComputeDuDtCoefficientFunction()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

virtual double AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::ComputeDuDtCoefficientFunction ( const ChastePoint< SPACE_DIM > &  rX )

pure virtual

Returns

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

ComputeSourceTerm()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

virtual double AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::ComputeSourceTerm ( const ChastePoint< SPACE_DIM > &  rX, double  u, Element< ELEMENT_DIM, SPACE_DIM > *  pElement = nullptr  )

pure virtual

Returns

computed 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
pElement	the element that we are inside

ComputeSourceTermAtNode()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

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

virtual

Returns

computed 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 135 of file AbstractLinearParabolicPde.hpp.

References Node< SPACE_DIM >::GetPoint().

serialize()

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

template<class Archive >

void AbstractLinearParabolicPde< ELEMENT_DIM, SPACE_DIM >::serialize ( Archive &  archive, const unsigned int  version  )

inlineprivate

Serialize the PDE object.

Parameters

archive	the archive
version	the current version of this class

Definition at line 75 of file AbstractLinearParabolicPde.hpp.

Friends And Related Symbol Documentation

boost::serialization::access

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>

friend class boost::serialization::access

friend

Needed for serialization.

Definition at line 67 of file AbstractLinearParabolicPde.hpp.

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

• pde/src/problem/AbstractLinearParabolicPde.hpp