Chaste  Release::2018.1
AbstractLinearParabolicPdeSystemForCoupledOdeSystem< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM > Class Template Referenceabstract

#include <AbstractLinearParabolicPdeSystemForCoupledOdeSystem.hpp>

+ 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

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

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
rXThe point x at which the diffusion term D_i is computed
pdeIndexthe index of the PDE, denoted by i above
pElementThe 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
Returns
computed function c_i(x).
Parameters
rXthe point x at which the function c_i is computed
pdeIndexthe 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
Returns
computed source term f_i(x, u_1, u_2, ..., u_p) at a point in space.
Parameters
rXthe point x at which the nonlinear source term is computed
rUthe vector of dependent variables (u_1, u_2, ..., u_p) at the point x
rOdeSolutionthe ODE system state vector (v_1, ..., v_q) at the point x (if an ODE system is present)
pdeIndexthe index of the PDE, denoted by i above
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
rNodethe node at which the nonlinear source term f_i is computed
rUthe vector of dependent variables (u_1, u_2, ..., u_p) at the node
rOdeSolutionthe ODE system state vector (v_1, ..., v_q) at the node (if an ODE system is present)
pdeIndexthe index of the PDE, denoted by i above

Definition at line 120 of file AbstractLinearParabolicPdeSystemForCoupledOdeSystem.hpp.

References Node< SPACE_DIM >::GetPoint().


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