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 ODESystem. More... | |
virtual | ~RKCK45 () |
Destructor. More... | |
virtual bool | resize () |
Resize the ODE solver. More... | |
virtual 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... | |
virtual 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... | |
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, 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... | |
bool | resize (const label n) |
Resize the ODE solver. 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... | |
template<class Type > | |
static void | resizeField (UList< Type > &f, const label n) |
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... | |
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 Cash-Karp Runge-Kutta ODE solver.
Cash, J. R., & Karp, A. H. (1990). A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides. ACM Transactions on Mathematical Software (TOMS), 16(3), 201-222. Hairer, E., Nørsett, S. P., & Wanner, G. (1993). Solving Ordinary Differential Equations I: Nonstiff Problems, second edition. Springer-Verlag, Berlin.
RKCK45 | ( | const ODESystem & | ode, |
const dictionary & | dict | ||
) |
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inlinevirtual |
Destructor.
Definition at line 102 of file RKCK45.H.
References RKCK45::resize(), RKCK45::solve(), ODESolver::solve(), x, y, and Foam::y0().
TypeName | ( | "RKCK45" | ) |
Runtime type information.
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virtual |
Resize the ODE solver.
Implements ODESolver.
Definition at line 90 of file RKCK45.C.
References ODESolver::n_, adaptiveSolver::resize(), ODESolver::resize(), ODESolver::resizeField(), and RKCK45::solve().
Referenced by RKCK45::~RKCK45().
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virtual |
Solve a single step dx and return the error.
Implements adaptiveSolver.
Definition at line 114 of file RKCK45.C.
References ODESystem::derivatives(), forAll, ODESolver::normalizeError(), and ODESolver::odes_.
Referenced by RKCK45::resize(), and RKCK45::~RKCK45().
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virtual |
Solve the ODE system and the update the state.
Reimplemented from ODESolver.
Definition at line 178 of file RKCK45.C.
References ODESolver::odes_, and adaptiveSolver::solve().