#include <UniformSourceParabolicPde.hpp>

Inheritance diagram for UniformSourceParabolicPde< DIM >:

Collaboration diagram for UniformSourceParabolicPde< DIM >:

Public Member Functions
	UniformSourceParabolicPde (double constantSourceCoefficient=0.0, double linearSourceCoefficient=0.0, double diffusionCoefficient=1.0, double duDtCoefficient=1.0)

double	GetConstantCoefficient () const

double	GetLinearCoefficient () const

double	GetDiffusionCoefficient () const

double	GetDuDtCoefficient () const

double	ComputeSourceTerm (const ChastePoint< DIM > &rX, double u, Element< DIM, DIM > *pElement=nullptr) override

c_matrix< double, DIM, DIM >	ComputeDiffusionTerm (const ChastePoint< DIM > &rX, Element< DIM, DIM > *pElement=nullptr) override

double	ComputeDuDtCoefficientFunction (const ChastePoint< DIM > &rX) override

Public Member Functions inherited from AbstractLinearParabolicPde< DIM, DIM >
	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)=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)

Private Attributes
double	mConstantSourceCoefficient

double	mLinearSourceCoefficient

double	mDiffusionCoefficient

double	mDuDtCoefficient

Friends
class	TestCellBasedParabolicPdes

class	boost::serialization::access

Detailed Description

template<unsigned DIM>
class UniformSourceParabolicPde< DIM >

A parabolic PDE to be solved numerically using the finite element method, for coupling to a cell-based simulation.

The PDE takes the form

c*du/dt = D Grad.(Grad(u)) + a*u + b,

where the scalars c, a, b and D are specified by the members mDuDtCoefficient, mConstantSourceCoefficient, mLinearSourceCoefficient, and mDiffusionCoefficient respectively whose values must be set in the constructor.

Thus, there is no direct coupling between the cell-based simulation and the terms of the PDE; here, the cell population just defines the spatial domain on which to solve the PDE.

Definition at line 60 of file UniformSourceParabolicPde.hpp.

Constructor & Destructor Documentation

◆ UniformSourceParabolicPde()

template<unsigned DIM>

UniformSourceParabolicPde< DIM >::UniformSourceParabolicPde	(	double	constantSourceCoefficient = `0.0`,
		double	linearSourceCoefficient = `0.0`,
		double	diffusionCoefficient = `1.0`,
		double	duDtCoefficient = `1.0`
	)

Constructor.

Parameters

constantSourceCoefficient	the constant source term coefficient (defaults to 0.0)
linearSourceCoefficient	the linear source term coefficient (defaults to 0.0)
diffusionCoefficient	the rate of diffusion (defaults to 1.0)
duDtCoefficient	rate of reaction (defaults to 1.0)

Definition at line 39 of file UniformSourceParabolicPde.cpp.

Member Function Documentation

◆ ComputeDiffusionTerm()

template<unsigned DIM>

c_matrix< double, DIM, DIM > UniformSourceParabolicPde< DIM >::ComputeDiffusionTerm	(	const ChastePoint< DIM > &	rX,
		Element< DIM, DIM > *	pElement = `nullptr`
	)