4/5th Order Dormand–Prince Runge-Kutta ODE solver. More...
Public Member Functions | |
| TypeName ("RKDP45") | |
| Runtime type information. More... | |
| RKDP45 (const ODESystem &ode, const dictionary &dict) | |
| Construct from ODESystem. More... | |
| virtual | ~RKDP45 () |
| Destructor. More... | |
| virtual bool | resize () |
| Resize the ODE solver. More... | |
| virtual scalar | solve (const scalar x0, const scalarField &y0, const label li, const scalarField &dydx0, const scalar dx, scalarField &y) const |
| Solve a single step dx and return the error. More... | |
| virtual void | solve (scalar &x, scalarField &y, const label li, scalar &dxTry) const |
| Solve the ODE system and the update the state. More... | |
| virtual void | solve (scalar &x, scalarField &y, const label li, scalar &dxTry) const |
| Inherit solve from ODESolver. More... | |
| virtual void | solve (scalar &x, scalarField &y, const label li, stepState &step) const |
| Inherit solve from ODESolver. More... | |
| virtual void | solve (const scalar xStart, const scalar xEnd, scalarField &y, const label li, scalar &dxEst) const |
| Inherit solve from ODESolver. 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... | |
| ODESolver (const ODESolver &)=delete | |
| Disallow default bitwise copy construction. More... | |
| virtual | ~ODESolver () |
| Destructor. More... | |
| label | nEqns () const |
| Return the number of equations to solve. More... | |
| scalarField & | absTol () |
| Return access to the absolute tolerance field. More... | |
| scalarField & | relTol () |
| Return access to the relative tolerance field. More... | |
| template<class Type > | |
| void | resizeField (UList< Type > &f) const |
| void | resizeMatrix (scalarSquareMatrix &m) const |
| virtual void | solve (scalar &x, scalarField &y, const label li, stepState &step) const |
| Solve the ODE system from the current state xStart, y. More... | |
| virtual void | solve (const scalar xStart, const scalar xEnd, scalarField &y, const label li, scalar &dxEst) const |
| Solve the ODE system from the current state xStart, y. More... | |
| void | operator= (const ODESolver &)=delete |
| Disallow default bitwise assignment. More... | |
| Public Member Functions inherited from adaptiveSolver | |
| adaptiveSolver (const ODESystem &ode, const dictionary &dict) | |
| Construct from ODESystem. More... | |
| virtual | ~adaptiveSolver () |
| Destructor. More... | |
| bool | resize (const label n) |
| Resize the ODE solver. More... | |
| void | solve (const ODESystem &ode, scalar &x, scalarField &y, const label li, 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... | |
| template<class Type > | |
| static void | resizeField (UList< Type > &f, const label n) |
| Protected Member Functions inherited from ODESolver | |
| scalar | normaliseError (const scalarField &y0, const scalarField &y, const scalarField &err) const |
| Return the normalised scalar error. More... | |
| Protected Attributes inherited from ODESolver | |
| const ODESystem & | odes_ |
| Reference to ODESystem. More... | |
| const label | maxN_ |
| Maximum size of the ODESystem. More... | |
| label | n_ |
| Size of the ODESystem (adjustable) 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 Dormand–Prince Runge-Kutta ODE solver.
References:
Dormand, J. R., & Prince, P. J. (1980).
A family of embedded Runge-Kutta formulae.
Journal of computational and applied mathematics, 6(1), 19-26.
Hairer, E., Nørsett, S. P., & Wanner, G. (1993).
Solving Ordinary Differential Equations I: Nonstiff Problems,
second edition.
Springer-Verlag, Berlin.
| RKDP45 | ( | const ODESystem & | ode, |
| const dictionary & | dict | ||
| ) |
| TypeName | ( | "RKDP45" | ) |
Runtime type information.
|
virtual |
Resize the ODE solver.
Implements ODESolver.
Definition at line 95 of file RKDP45.C.
References ODESolver::resize(), and adaptiveSolver::resize().
|
virtual |
Solve a single step dx and return the error.
Implements adaptiveSolver.
Definition at line 118 of file RKDP45.C.
References Foam::constant::physicoChemical::c2, forAll, y, and Foam::y0().
|
virtual |
| void solve |
Inherit solve from ODESolver.
Definition at line 190 of file ODESolver.C.
| void solve |
Inherit solve from ODESolver.
Definition at line 204 of file ODESolver.C.
| void solve |
Inherit solve from ODESolver.
Definition at line 215 of file ODESolver.C.
1.9.1 