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

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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 ()=default
 Destructor. More...
 
virtual bool resize ()
 Resize the ODE solver. More...
 
virtual void solve (scalar &x, scalarField &y, 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...
 
virtual ~ODESolver ()=default
 Destructor. More...
 
label nEqns () const
 Return the number of equations to solve. More...
 
scalarFieldabsTol ()
 Return access to the absolute tolerance field. More...
 
scalarFieldrelTol ()
 Return access to the relative tolerance field. More...
 
virtual bool resize ()=0
 Resize the ODE solver. More...
 
template<class Type >
void resizeField (UList< Type > &f) const
 
void resizeMatrix (scalarSquareMatrix &m) const
 
virtual void solve (scalar &x, scalarField &y, scalar &dxTry) const
 Solve the ODE system as far as possible up to dxTry. More...
 
virtual void solve (scalar &x, scalarField &y, stepState &step) const
 Solve the ODE system as far as possible up to 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...
 

Additional Inherited Members

- Static Public Member Functions inherited from ODESolver
static autoPtr< ODESolverNew (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 &)=delete
 No copy construct. More...
 
void operator= (const ODESolver &)=delete
 No copy assignment. More...
 
- Protected Attributes inherited from ODESolver
const ODESystemodes_
 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 65 of file seulex.H.

Constructor & Destructor Documentation

◆ seulex()

seulex ( const ODESystem ode,
const dictionary dict 
)

Construct from ODESystem.

Definition at line 53 of file seulex.C.

References k, and Foam::min().

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◆ ~seulex()

virtual ~seulex ( )
virtualdefault

Destructor.

Member Function Documentation

◆ TypeName()

TypeName ( "seulex"  )

Runtime type information.

◆ resize()

bool resize ( )
virtual

Resize the ODE solver.

Implements ODESolver.

Definition at line 217 of file seulex.C.

References ODESolver::resize().

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◆ solve()

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

Solve the ODE system and the update the state.

Reimplemented from ODESolver.

Definition at line 240 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.

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