AbstractLinearParabolicPdeSystemForCoupledOdeSystem< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > Class Template Reference

#include <AbstractLinearParabolicPdeSystemForCoupledOdeSystem.hpp>

List of all members.

Public Member Functions
virtual double	ComputeDuDtCoefficientFunction (const ChastePoint< SPACE_DIM > &rX, unsigned pdeIndex)=0
virtual double	ComputeSourceTerm (const ChastePoint< SPACE_DIM > &rX, c_vector< double, PROBLEM_DIM > &rU, std::vector< double > &rOdeSolution, unsigned pdeIndex)=0
virtual double	ComputeSourceTermAtNode (const Node< SPACE_DIM > &rNode, c_vector< double, PROBLEM_DIM > &rU, std::vector< double > &rOdeSolution, unsigned pdeIndex)
virtual c_matrix< double, SPACE_DIM, SPACE_DIM >	ComputeDiffusionTerm (const ChastePoint< SPACE_DIM > &rX, unsigned pdeIndex, Element< ELEMENT_DIM, SPACE_DIM > *pElement=NULL)=0
virtual	~AbstractLinearParabolicPdeSystemForCoupledOdeSystem ()

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Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM, unsigned PROBLEM_DIM = 1>
class AbstractLinearParabolicPdeSystemForCoupledOdeSystem< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >

AbstractLinearParabolicPdeSystemForCoupledOdeSystem class.

A system of parabolic PDEs, which may be coupled via their source terms:

d/dt (u_i) = div (D(x) grad (u_i)) + f_i (x, u_0, ..., u_{p-1}, v_0, ..., v_{q-1}), i=0,...,p-1.

Here p denotes the size of the PDE system and each source term f_i may be nonlinear. The variables v_0, ..., v_{q-1} are assumed to satisfy a coupled ODE system of the form

d/dt (v_j) = g_j(x, u_0, ..., u_{p-1}, v_0, ..., v_{q-1}), j=0,...,q-1.

Such systems may be solved using LinearParabolicPdeSystemWithCoupledOdeSystemSolver.

Definition at line 53 of file AbstractLinearParabolicPdeSystemForCoupledOdeSystem.hpp.

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Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM, unsigned PROBLEM_DIM = 1>

virtual AbstractLinearParabolicPdeSystemForCoupledOdeSystem< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::~AbstractLinearParabolicPdeSystemForCoupledOdeSystem

(

)

[inline, virtual]

Destructor.

Definition at line 96 of file AbstractLinearParabolicPdeSystemForCoupledOdeSystem.hpp.

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Member Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM, unsigned PROBLEM_DIM = 1>

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

Compute diffusion term D_i(x) at a point in space. The diffusion tensor should be symmetric and positive definite.

Parameters:

	rX	The point x at which the diffusion term D_i is computed
	pdeIndex	the index of the PDE, denoted by i above
	pElement	The mesh element that x is contained in (optional)

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM, unsigned PROBLEM_DIM = 1>

virtual double AbstractLinearParabolicPdeSystemForCoupledOdeSystem< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::ComputeDuDtCoefficientFunction	(	const ChastePoint< SPACE_DIM > &	rX,
		unsigned	pdeIndex
	)			[pure virtual]

Compute the function c_i(x).

Parameters:

	rX	the point x at which the function c_i is computed
	pdeIndex	the index of the PDE, denoted by i above

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM, unsigned PROBLEM_DIM = 1>

virtual double AbstractLinearParabolicPdeSystemForCoupledOdeSystem< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::ComputeSourceTerm	(	const ChastePoint< SPACE_DIM > &	rX,
		c_vector< double, PROBLEM_DIM > &	rU,
		std::vector< double > &	rOdeSolution,
		unsigned	pdeIndex
	)			[pure virtual]

Compute the source term f_i(x, u_1, u_2, ..., u_p) at a point in space.

Parameters:

	rX	the point x at which the nonlinear source term is computed
	rU	the vector of dependent variables (u_1, u_2, ..., u_p) at the point x
	rOdeSolution	the ODE system state vector (v_1, ..., v_q) at the point x (if an ODE system is present)
	pdeIndex	the index of the PDE, denoted by i above

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

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>

double AbstractLinearParabolicPdeSystemForCoupledOdeSystem< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::ComputeSourceTermAtNode	(	const Node< SPACE_DIM > &	rNode,
		c_vector< double, PROBLEM_DIM > &	rU,
		std::vector< double > &	rOdeSolution,
		unsigned	pdeIndex
	)			[inline, virtual]

Compute source term f_i(x, u_1, u_2, ..., u_p) at a node.

Parameters:

	rNode	the node at which the nonlinear source term f_i is computed
	rU	the vector of dependent variables (u_1, u_2, ..., u_p) at the node
	rOdeSolution	the ODE system state vector (v_1, ..., v_q) at the node (if an ODE system is present)
	pdeIndex	the index of the PDE, denoted by i above

Definition at line 105 of file AbstractLinearParabolicPdeSystemForCoupledOdeSystem.hpp.

References AbstractLinearParabolicPdeSystemForCoupledOdeSystem< ELEMENT_DIM, SPACE_DIM, PROBLEM_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/AbstractLinearParabolicPdeSystemForCoupledOdeSystem.hpp