An extrapolation-algorithm, based on the linearly implicit Euler method with step size control and order selection. More...
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... | |
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.
seulex | ( | const ODESystem & | ode, |
const dictionary & | dict | ||
) |
TypeName | ( | "seulex" | ) |
Runtime type information.
|
virtual |
Resize the ODE solver.
Implements ODESolver.
Definition at line 221 of file seulex.C.
References ODESolver::resize().
|
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.