L-stable embedded Rosenbrock ODE solver of order (2)3. More...

Inheritance diagram for Rosenbrock23:

Collaboration diagram for Rosenbrock23:

Public Member Functions
	TypeName ("Rosenbrock23")
	Runtime type information. More...

	Rosenbrock23 (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...

Detailed Description

L-stable embedded Rosenbrock ODE solver of order (2)3.

References:

    Sandu et al,
    "Benchmarking stiff ODE solvers for atmospheric chemistry problems II
     Rosenbrock solvers",
     A. Sandu,
     J.G. Verwer,
     J.G. Blom,
     E.J. Spee,
     G.R. Carmichael,
     F.A. Potra,
     Atmospheric Environment, Volume 31, 1997, Issue 20, Pages 3459-3472

Source files

Definition at line 63 of file Rosenbrock23.H.