Euler-implicit integration. More...

Inheritance diagram for Euler< Type >:

Collaboration diagram for Euler< Type >:

Public Member Functions
	TypeName ("Euler")
	Runtime type information. More...

	Euler (const word &phiName, const dictionary &dict)
	Construct from components. More...

	Euler (const Euler &is)
	Copy constructor. More...

virtual autoPtr< IntegrationScheme< Type > >	clone () const
	Construct and return clone. More...

virtual	~Euler ()
	Destructor. More...

virtual IntegrationScheme< Type >::integrationResult	integrate (const Type &phi, const scalar dt, const Type &alphaBeta, const scalar beta) const
	Perform the integration. More...

	TypeName ("Euler")
	Runtime type information. More...

	Euler (const ODESystem &ode, const dictionary &dict)
	Construct from ODE. More...

scalar	solve (const scalar x0, const scalarField &y0, const scalarField &dydx0, const scalar dx, scalarField &y) const
	Solve a single step dx and return the error. More...

void	solve (scalar &x, scalarField &y, scalar &dxTry) const
	Solve the ODE system and the update the state. More...

virtual void	solve (scalar &x, scalarField &y, scalar &dxTry) const
	Inherit solve from ODESolver. More...

virtual void	solve (scalar &x, scalarField &y, stepState &step) const
	Inherit solve from ODESolver. More...

virtual void	solve (const scalar xStart, const scalar xEnd, scalarField &y, scalar &dxEst) const
	Inherit solve from ODESolver. More...

Public Member Functions inherited from IntegrationScheme< Type >
	TypeName ("integrationScheme")
	Runtime type information. More...

	declareRunTimeSelectionTable (autoPtr, IntegrationScheme, dictionary,(const word &phiName, const dictionary &dict),(phiName, dict))
	Declare runtime constructor selection table. More...

	IntegrationScheme (const word &phiName, const dictionary &dict)
	Construct from components. More...

	IntegrationScheme (const IntegrationScheme &is)
	Copy constructor. More...

virtual	~IntegrationScheme ()
	Destructor. More...

Private Attributes
scalarField	err_

Additional Inherited Members
Static Public Member Functions inherited from IntegrationScheme< Type >
static autoPtr< IntegrationScheme >	New (const word &phiName, const dictionary &dict)
	Return a reference to the selected radiation model. More...

Detailed Description

template<class Type>
class Foam::Euler< Type >

Euler-implicit integration.

Euler ODE solver of order (0)1.

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 46 of file Euler.H.

Constructor & Destructor Documentation

◆ Euler() [1/3]

Euler	(	const word &	phiName,
		const dictionary &	dict
	)

Construct from components.

Definition at line 32 of file Euler.C.

◆ Euler() [2/3]

Euler ( const Euler< Type > & is )

Copy constructor.

Definition at line 42 of file Euler.C.

◆ ~Euler()

~Euler

virtual

Destructor.

Definition at line 51 of file Euler.C.

◆ Euler() [3/3]

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

Construct from ODE.

Definition at line 40 of file Euler.C.

Member Function Documentation

◆ TypeName() [1/2]

TypeName ( "Euler< Type >" )

Runtime type information.

◆ clone()

virtual autoPtr<IntegrationScheme<Type> > clone ( ) const

inlinevirtual

Construct and return clone.

Implements IntegrationScheme< Type >.

Definition at line 65 of file Euler.H.

◆ integrate()

Foam::IntegrationScheme< Type >::integrationResult integrate	(	const Type &	phi,
		const scalar	dt,
		const Type &	alphaBeta,
		const scalar	beta
	)		const

virtual

Perform the integration.

Implements IntegrationScheme< Type >.

Definition at line 60 of file Euler.C.

References IntegrationScheme< Type >::integrationResult::average(), beta(), phi, and IntegrationScheme< Type >::integrationResult::value().

Here is the call graph for this function:

◆ TypeName() [2/2]

TypeName ( "Euler< Type >" )

Runtime type information.

◆ solve() [1/5]

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

Solve a single step dx and return the error.

Definition at line 51 of file Euler.C.

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

Here is the call graph for this function:

◆ solve() [2/5]

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

Solve the ODE system and the update the state.

Definition at line 76 of file Euler.C.

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

Here is the call graph for this function:

◆ solve() [3/5]

virtual void solve

inline

Inherit solve from ODESolver.

Definition at line 178 of file ODESolver.H.

◆ solve() [4/5]

void solve

Inherit solve from ODESolver.

Definition at line 86 of file ODESolver.C.

◆ solve() [5/5]

void solve

Inherit solve from ODESolver.

Definition at line 99 of file ODESolver.C.

Field Documentation

◆ err_

scalarField err_

mutableprivate

Definition at line 66 of file Euler.H.

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

src/lagrangian/intermediate/IntegrationScheme/Euler/Euler.H
src/lagrangian/intermediate/IntegrationScheme/Euler/Euler.C

Public Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<class Type> class Foam::Euler< Type >

Constructor & Destructor Documentation

◆ Euler() [1/3]

◆ Euler() [2/3]

◆ ~Euler()

◆ Euler() [3/3]

Member Function Documentation

◆ TypeName() [1/2]

◆ clone()

◆ integrate()

◆ TypeName() [2/2]

◆ solve() [1/5]

◆ solve() [2/5]

◆ solve() [3/5]

◆ solve() [4/5]

◆ solve() [5/5]

Field Documentation

◆ err_

template<class Type>
class Foam::Euler< Type >