RKCK45 Class Reference

4/5th Order Cash-Karp Runge-Kutta ODE solver. More...

Inheritance diagram for RKCK45:

Collaboration diagram for RKCK45:

Public Member Functions
	TypeName ("RKCK45")
	RKCK45 (const ODESystem &ode, const dictionary &dict)
virtual	~RKCK45 ()=default
virtual bool	resize ()
virtual scalar	solve (const scalar x0, const scalarField &y0, const scalarField &dydx0, const scalar dx, scalarField &y) const
virtual void	solve (scalar &x, scalarField &y, scalar &dxTry) const
virtual void	solve (scalar &x, scalarField &y, scalar &dxTry) const
virtual void	solve (scalar &x, scalarField &y, stepState &step) const
virtual void	solve (const scalar xStart, const scalar xEnd, scalarField &y, scalar &dxEst) const
Public Member Functions inherited from ODESolver
	TypeName ("ODESolver")
	declareRunTimeSelectionTable (autoPtr, ODESolver, dictionary,(const ODESystem &ode, const dictionary &dict),(ode, dict))
	ODESolver (const ODESystem &ode, const dictionary &dict)
	ODESolver (const ODESystem &ode, const scalarField &absTol, const scalarField &relTol)
virtual	~ODESolver ()=default
label	nEqns () const
scalarField &	absTol ()
scalarField &	relTol ()
template<class Type >
void	resizeField (UList< Type > &f) const
void	resizeMatrix (scalarSquareMatrix &m) const
virtual void	solve (scalar &x, scalarField &y, stepState &step) const
virtual void	solve (const scalar xStart, const scalar xEnd, scalarField &y, scalar &dxEst) const
Public Member Functions inherited from adaptiveSolver
	adaptiveSolver (const ODESystem &ode, const dictionary &dict)
virtual	~adaptiveSolver ()=default
bool	resize (const label n)
void	solve (const ODESystem &ode, scalar &x, scalarField &y, scalar &dxTry) const

Additional Inherited Members
Static Public Member Functions inherited from ODESolver
static autoPtr< ODESolver >	New (const ODESystem &ode, const dictionary &dict)
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
	ODESolver (const ODESolver &)=delete
void	operator= (const ODESolver &)=delete
Protected Attributes inherited from ODESolver
const ODESystem &	odes_
const label	maxN_
label	n_
scalarField	absTol_
scalarField	relTol_
label	maxSteps_

Detailed Description

4/5th Order Cash-Karp Runge-Kutta ODE solver.

References:

    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.

Source files

• RKCK45.H
• RKCK45.C

Definition at line 64 of file RKCK45.H.

Constructor & Destructor Documentation

RKCK45()

RKCK45	(	const ODESystem &	ode,
		const dictionary &	dict
	)

Definition at line 70 of file RKCK45.C.

~RKCK45()

virtual ~RKCK45 ( )

virtualdefault

Member Function Documentation

TypeName()

TypeName

(

"RKCK45"

)

resize()

bool resize ( )

virtual

Implements ODESolver.

Definition at line 86 of file RKCK45.C.

References adaptiveSolver::resize(), and ODESolver::resize().

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solve() [1/5]

Foam::scalar solve ( const scalar  x0, const scalarField &  y0, const scalarField &  dydx0, const scalar  dx, scalarField &  y  ) const

virtual

Implements adaptiveSolver.

Definition at line 108 of file RKCK45.C.

References Foam::constant::physicoChemical::c2, forAll, y, and Foam::y0().

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solve() [2/5]

void solve ( scalar &  x, scalarField &  y, scalar &  dxTry  ) const

virtual

Reimplemented from ODESolver.

Definition at line 172 of file RKCK45.C.

References adaptiveSolver::solve(), x, and y.

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solve() [3/5]

void solve

Definition at line 110 of file ODESolver.C.

solve() [4/5]

void solve

Definition at line 123 of file ODESolver.C.

solve() [5/5]

void solve

Definition at line 136 of file ODESolver.C.

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

• src/ODE/ODESolvers/RKCK45/RKCK45.H
• src/ODE/ODESolvers/RKCK45/RKCK45.C