A semi-implicit mid-point solver for stiff systems of ordinary differential equations. More...
Public Member Functions | |
TypeName ("SIBS") | |
Runtime type information. More... | |
SIBS (const ODESystem &ode, const dictionary &dict) | |
Construct from ODE system. More... | |
virtual | ~SIBS () |
Destructor. More... | |
virtual bool | resize () |
Resize the ODE solver. More... | |
virtual void | solve (scalar &x, scalarField &y, scalar &dxTry) const |
Solve the ODE system as far as possible up to 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... | |
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, 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< 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 | 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... | |
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... | |
A semi-implicit mid-point solver for stiff systems of ordinary differential equations.
Bader, G., & Deuflhard, P. (1983). A semi-implicit mid-point rule for stiff systems of ordinary differential equations. Numerische Mathematik, 41(3), 373-398.
SIBS | ( | const ODESystem & | ode, |
const dictionary & | dict | ||
) |
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inlinevirtual |
Destructor.
Definition at line 125 of file SIBS.H.
References SIBS::resize(), SIBS::solve(), and x.
TypeName | ( | "SIBS" | ) |
Runtime type information.
|
virtual |
Resize the ODE solver.
Implements ODESolver.
Definition at line 71 of file SIBS.C.
References ODESolver::resize(), ODESolver::resizeField(), ODESolver::resizeMatrix(), and SIBS::solve().
Referenced by SIBS::~SIBS().
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virtual |
Solve the ODE system as far as possible up to 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 92 of file SIBS.C.
References ODESolver::absTol_, ODESystem::derivatives(), Foam::exit(), Foam::FatalError, FatalErrorInFunction, 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::resize(), and SIBS::~SIBS().