Public Member Functions | List of all members
Euler Class Reference
Numerics » Ordinary Differential Equation (ODE) solvers

Euler-implicit integration scheme. More...

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Public Member Functions

 TypeName ("Euler")
 
 Euler (const ODESystem &ode, const dictionary &dict)
 
virtual ~Euler ()=default
 
virtual bool resize ()
 
virtual scalar solve (const scalar x0, const scalarField &y0, const scalarField &dydx0, const scalar dx, scalarField &y) const
 
virtual void solve (scalar &x, scalarField &y, scalar &dxTry) const
 
virtual void solve (scalar &x, scalarField &y, scalar &dxTry) const
 
virtual void solve (scalar &x, scalarField &y, stepState &step) const
 
virtual void solve (const scalar xStart, const scalar xEnd, scalarField &y, scalar &dxEst) const
 
- Public Member Functions inherited from ODESolver
 TypeName ("ODESolver")
 
 declareRunTimeSelectionTable (autoPtr, ODESolver, dictionary,(const ODESystem &ode, const dictionary &dict),(ode, dict))
 
 ODESolver (const ODESystem &ode, const dictionary &dict)
 
 ODESolver (const ODESystem &ode, const scalarField &absTol, const scalarField &relTol)
 
virtual ~ODESolver ()=default
 
label nEqns () const
 
scalarField & absTol ()
 
scalarField & relTol ()
 
template<class Type >
void resizeField (UList< Type > &f) const
 
void resizeMatrix (scalarSquareMatrix &m) const
 
virtual void solve (scalar &x, scalarField &y, stepState &step) const
 
virtual void solve (const scalar xStart, const scalar xEnd, scalarField &y, scalar &dxEst) const
 
- Public Member Functions inherited from adaptiveSolver
 adaptiveSolver (const ODESystem &ode, const dictionary &dict)
 
virtual ~adaptiveSolver ()=default
 
bool resize (const label n)
 
void solve (const ODESystem &ode, scalar &x, scalarField &y, scalar &dxTry) const
 

Additional Inherited Members

- Static Public Member Functions inherited from ODESolver
static autoPtr< ODESolver > New (const ODESystem &ode, const dictionary &dict)
 
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
 
 ODESolver (const ODESolver &)=delete
 
void operator= (const ODESolver &)=delete
 
- Protected Attributes inherited from ODESolver
const ODESystem & odes_
 
const label maxN_
 
label n_
 
scalarField absTol_
 
scalarField relTol_
 
label maxSteps_
 

Detailed Description

Euler-implicit integration scheme.

Euler ODE solver of order (0)1.

\[ \Delta \phi = (A - B \phi^n) \frac{\Delta t}{1 + B \Delta t} \]

The method calculates the new state from:

\[ y_{n+1} = y_n + \delta_x f \]

The error is estimated directly from the change in the solution, i.e. the difference between the 0th and 1st order solutions:

\[ err_{n+1} = y_{n+1} - y_n \]

Source files

Definition at line 61 of file Euler.H.

Constructor & Destructor Documentation

◆ Euler()

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

Definition at line 36 of file Euler.C.

◆ ~Euler()

virtual ~Euler ( )
virtualdefault

Member Function Documentation

◆ TypeName()

TypeName ( "Euler"  )

◆ resize()

bool resize ( )
virtual

Implements ODESolver.

Definition at line 46 of file Euler.C.

References adaptiveSolver::resize(), and ODESolver::resize().

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◆ solve() [1/5]

Foam::scalar solve ( const scalar  x0,
const scalarField &  y0,
const scalarField &  dydx0,
const scalar  dx,
scalarField &  y 
) const
virtual

Implements adaptiveSolver.

Definition at line 62 of file Euler.C.

References forAll, y, and Foam::y0().

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◆ solve() [2/5]

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

Reimplemented from ODESolver.

Definition at line 87 of file Euler.C.

References adaptiveSolver::solve(), x, and y.

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◆ solve() [3/5]

void solve

Definition at line 110 of file ODESolver.C.

◆ solve() [4/5]

void solve

Definition at line 123 of file ODESolver.C.

◆ solve() [5/5]

void solve

Definition at line 136 of file ODESolver.C.

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

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