An extrapolation-algorithm, based on the linearly implicit Euler method with step size control and order selection. More...

Inheritance diagram for seulex:

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Collaboration diagram for seulex:

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

	seulex (const ODESystem &ode, const dictionary &dict)
	Construct from ODESystem. More...

virtual	~seulex ()
	Destructor. More...

virtual bool	resize ()
	Resize the ODE solver. More...

virtual void	solve (scalar &x, scalarField &y, const label li, stepState &step) 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...

	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, scalar &dxTry) 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...

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...

Detailed Description

An extrapolation-algorithm, based on the linearly implicit Euler method with step size control and order selection.

Reference:

    Hairer, E., Nørsett, S. P., & Wanner, G. (1996).
    Solving Ordinary Differential Equations II:
    Stiff and Differential-Algebraic Problems, second edition",
    Springer-Verlag, Berlin.

Source files

Definition at line 59 of file seulex.H.

Constructor & Destructor Documentation

◆ seulex()

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

Construct from ODESystem.

Definition at line 50 of file seulex.C.

References k.

◆ ~seulex()

virtual ~seulex ( )

inlinevirtual

Destructor.

Definition at line 139 of file seulex.H.

Member Function Documentation

◆ TypeName()

TypeName ( "seulex" )

Runtime type information.

◆ resize()

bool resize ( )

virtual

Resize the ODE solver.

Implements ODESolver.

Definition at line 221 of file seulex.C.

References ODESolver::resize().

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◆ solve()

void solve	(	scalar &	x,
		scalarField &	y,
		const label	li,
		stepState &	step
	)		const

virtual

Solve the ODE system and the update the state.

Reimplemented from ODESolver.

Definition at line 246 of file seulex.C.

References ODESolver::stepState::dxDid, ODESolver::stepState::dxTry, Foam::endl(), ODESolver::stepState::first, forAll, ODESolver::stepState::forward, k, ODESolver::stepState::last, Foam::log10(), Foam::mag(), Foam::max(), Foam::min(), Foam::pow(), ODESolver::stepState::prevReject, ODESolver::stepState::reject, Foam::sqr(), Foam::sqrt(), success, WarningInFunction, x, and y.