AbstractLinearParabolicPdeSystemForCoupledOdeSystem< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > Class Template Reference

#include <AbstractLinearParabolicPdeSystemForCoupledOdeSystem.hpp>

Inheritance diagram for AbstractLinearParabolicPdeSystemForCoupledOdeSystem< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >:

Collaboration diagram for AbstractLinearParabolicPdeSystemForCoupledOdeSystem< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >:

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 ()

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 60 of file AbstractLinearParabolicPdeSystemForCoupledOdeSystem.hpp.

Constructor & Destructor Documentation

~AbstractLinearParabolicPdeSystemForCoupledOdeSystem()

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

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

inlinevirtual

Destructor.

Definition at line 111 of file AbstractLinearParabolicPdeSystemForCoupledOdeSystem.hpp.

Member Function Documentation

ComputeDiffusionTerm()

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

Returns

computed 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)

Referenced by LinearParabolicPdeSystemWithCoupledOdeSystemSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::ComputeMatrixTerm().

ComputeDuDtCoefficientFunction()

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

Returns

computed 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

Referenced by LinearParabolicPdeSystemWithCoupledOdeSystemSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::ComputeMatrixTerm(), and LinearParabolicPdeSystemWithCoupledOdeSystemSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::ComputeVectorTerm().

ComputeSourceTerm()

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

Returns

computed 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 LinearParabolicPdeSystemWithCoupledOdeSystemSolver< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::ComputeVectorTerm().

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  )

virtual

Returns

computed 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 120 of file AbstractLinearParabolicPdeSystemForCoupledOdeSystem.hpp.

References Node< SPACE_DIM >::GetPoint().

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

• pde/src/problem/AbstractLinearParabolicPdeSystemForCoupledOdeSystem.hpp