Public Member Functions | List of all members
SIBS Class Reference

Foam::SIBS. More...

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Public Member Functions

 TypeName ("SIBS")
 Runtime type information. More...
 
 SIBS (const ODESystem &ode, const dictionary &dict)
 Construct from ODE. More...
 
void solve (scalar &x, scalarField &y, scalar &dxTry) const
 Solve the ODE system as far as possible upto dxTry. 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...
 
scalarFieldabsTol ()
 
scalarFieldrelTol ()
 
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...
 

Additional Inherited Members

- Static Public Member Functions inherited from ODESolver
static autoPtr< ODESolverNew (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 ODESystemodes_
 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

Foam::SIBS.

Bader, G. and Deuflhard, P. "A Semi-Implicit Mid-Point Rule for Stiff Systems of Ordinary Differential Equations." Numer. Math. 41, 373-398, 1983.

Source files

Definition at line 54 of file SIBS.H.

Constructor & Destructor Documentation

SIBS ( const ODESystem ode,
const dictionary dict 
)

Construct from ODE.

Definition at line 49 of file SIBS.C.

References SIBS::solve().

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Member Function Documentation

TypeName ( "SIBS"  )

Runtime type information.

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

Solve the ODE system as far as possible upto dxTry.

adjusting the step as necessary to provide a solution within the specified tolerance. Update the state and return an estimate for the next step in dxTry

Reimplemented from ODESolver.

Definition at line 72 of file SIBS.C.

References ODESolver::absTol_, ODESystem::derivatives(), Foam::exit(), Foam::FatalError, FatalErrorInFunction, Foam::constant::universal::h, ODESystem::jacobian(), k, Foam::mag(), Foam::max(), Foam::min(), ODESolver::n_, ODESolver::odes_, Foam::pow(), ODESolver::relTol_, Foam::sqr(), and y.

Referenced by SIBS::SIBS().

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