4/5th Order Cash-Karp Runge-Kutta ODE solver. More...
Public Member Functions | |
| TypeName ("RKCK45") | |
| Runtime type information. More... | |
| RKCK45 (const ODESystem &ode, const dictionary &dict) | |
| Construct from ODE. More... | |
| scalar | solve (const scalar x0, const scalarField &y0, const scalarField &dydx0, const scalar dx, scalarField &y) const |
| Solve a single step dx and return the error. More... | |
| void | solve (scalar &x, scalarField &y, scalar &dxTry) const |
| Solve the ODE system and the update the state. More... | |
 Public Member Functions inherited from ODESolver | |
| TypeName ("ODESolver") | |
| Runtime type information. More... | |
| declareRunTimeSelectionTable (autoPtr, ODESolver, dictionary,(const ODESystem &ode, const dictionary &dict),(ode, dict)) | |
| ODESolver (const ODESystem &ode, const dictionary &dict) | |
| Construct for given ODESystem. More... | |
| ODESolver (const ODESystem &ode, const scalarField &absTol, const scalarField &relTol) | |
| Construct for given ODESystem specifying tolerances. More... | |
| virtual | ~ODESolver () |
| Destructor. More... | |
| scalarField & | absTol () |
| scalarField & | relTol () |
| virtual void | solve (scalar &x, scalarField &y, stepState &step) const |
| Solve the ODE system as far as possible upto dxTry. More... | |
| virtual void | solve (const scalar xStart, const scalar xEnd, scalarField &y, scalar &dxEst) const |
| Solve the ODE system from xStart to xEnd, update the state. More... | |
| Public Member Functions inherited from adaptiveSolver | |
| adaptiveSolver (const ODESystem &ode, const dictionary &dict) | |
| Construct from ODESystem. More... | |
| virtual | ~adaptiveSolver () |
| Destructor. More... | |
| void | solve (const ODESystem &ode, scalar &x, scalarField &y, scalar &dxTry) const |
| Solve the ODE system and the update the state. More... | |
Additional Inherited Members | |
| Static Public Member Functions inherited from ODESolver | |
| static autoPtr< ODESolver > | New (const ODESystem &ode, const dictionary &dict) |
| Select null constructed. More... | |
| Protected Member Functions inherited from ODESolver | |
| scalar | normalizeError (const scalarField &y0, const scalarField &y, const scalarField &err) const |
| Return the nomalized scalar error. More... | |
| ODESolver (const ODESolver &) | |
| Disallow default bitwise copy construct. More... | |
| void | operator= (const ODESolver &) |
| Disallow default bitwise assignment. More... | |
| Protected Attributes inherited from ODESolver | |
| const ODESystem & | odes_ |
| Reference to ODESystem. More... | |
| label | n_ |
| Size of the ODESystem. More... | |
| scalarField | absTol_ |
| Absolute convergence tolerance per step. More... | |
| scalarField | relTol_ |
| Relative convergence tolerance per step. More... | |
| label | maxSteps_ |
| The maximum number of sub-steps allowed for the integration step. More... | |
4/5th Order Cash-Karp Runge-Kutta ODE solver.
"A variable order Runge-Kutta method for initial value problems
with rapidly varying right-hand sides"
Cash, J.R.,
Karp, A.H.
ACM Transactions on Mathematical Software, vol. 16, 1990, pp. 201–222.
"Solving Ordinary Differential Equations I: Nonstiff Problems,
second edition",
Hairer, E.,
Nørsett, S.,
Wanner, G.,
Springer-Verlag, Berlin. 1993, ISBN 3-540-56670-8.
| RKCK45 | ( | const ODESystem & | ode, |
| const dictionary & | dict | ||
| ) |
Construct from ODE.
Definition at line 74 of file RKCK45.C.
References RKCK45::solve().
| TypeName | ( | "RKCK45" | ) |
Runtime type information.
|
virtual |
Solve a single step dx and return the error.
Implements adaptiveSolver.
Definition at line 91 of file RKCK45.C.
References ODESystem::derivatives(), forAll, ODESolver::normalizeError(), and ODESolver::odes_.
Referenced by RKCK45::RKCK45().
|
virtual |
Solve the ODE system and the update the state.
Reimplemented from ODESolver.
Definition at line 155 of file RKCK45.C.
References ODESolver::odes_, and adaptiveSolver::solve().
1.8.11