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>
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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>
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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)
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM, unsigned PROBLEM_DIM = 1>
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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
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM = ELEMENT_DIM, unsigned PROBLEM_DIM = 1>
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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
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, unsigned PROBLEM_DIM>
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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().
The documentation for this class was generated from the following file:
- pde/src/problem/AbstractLinearParabolicPdeSystemForCoupledOdeSystem.hpp
