L-stable embedded Rosenbrock ODE solver of order (1)2. More...

Inheritance diagram for Rosenbrock12:

Collaboration diagram for Rosenbrock12:

[legend]

Public Member Functions
	TypeName ("Rosenbrock12")
	Runtime type information. More...

	Rosenbrock12 (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 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...

scalarField &	absTol ()

scalarField &	relTol ()

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...

Public Member Functions inherited from adaptiveSolver
	adaptiveSolver (const ODESystem &ode, const dictionary &dict)
	Construct from ODESystem. More...

virtual	~adaptiveSolver ()
	Destructor. More...

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

Private Attributes
scalarField	k1_

scalarField	k2_

scalarField	err_

scalarField	dydx_

scalarField	dfdx_

scalarSquareMatrix	dfdy_

scalarSquareMatrix	a_

labelList	pivotIndices_

Static Private Attributes
static const scalar	a21 = 1.0/gamma

static const scalar	c21 = -2.0/gamma

static const scalar	b1 = (3.0/2.0)/gamma

static const scalar	b2 = (1.0/2.0)/gamma

static const scalar	gamma = 1 + 1.0/std::sqrt(2.0)

static const scalar	c2 = 1.0

static const scalar	e1 = b1 - 1.0/gamma

static const scalar	e2 = b2

static const scalar	d1 = gamma

static const scalar	d2 = -gamma

Additional Inherited Members
Static Public Member Functions inherited from ODESolver
static autoPtr< ODESolver >	New (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 ODESystem &	odes_
	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

L-stable embedded Rosenbrock ODE solver of order (1)2.

References:

    "A second-order Rosenbrock method applied to
     photochemical dispersion problems",
    J. G. Verwer,
    E. J. Spee,
    J. G. Blom,
    W. Hundsdorfer,
    Siam Journal on Scientific Computing 01/1999; 20(4):1456-1480.

Source files

Definition at line 60 of file Rosenbrock12.H.

Constructor & Destructor Documentation

◆ Rosenbrock12()

Rosenbrock12	(	const ODESystem &	ode,
		const dictionary &	dict
	)

Construct from ODE.

Definition at line 52 of file Rosenbrock12.C.

Member Function Documentation

◆ TypeName()

TypeName ( "Rosenbrock12" )

Runtime type information.

◆ solve() [1/5]

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

virtual

Solve a single step dx and return the error.

Implements adaptiveSolver.

Definition at line 70 of file Rosenbrock12.C.

References Foam::constant::physicoChemical::c2, forAll, Foam::LUBacksubstitute(), Foam::LUDecompose(), y, and Foam::y0().

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◆ solve() [2/5]

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

virtual

Solve the ODE system and the update the state.

Reimplemented from ODESolver.

Definition at line 127 of file Rosenbrock12.C.

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

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◆ 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

◆ k1_

scalarField k1_

mutableprivate

Definition at line 67 of file Rosenbrock12.H.

◆ k2_

scalarField k2_

mutableprivate

Definition at line 68 of file Rosenbrock12.H.

◆ err_

scalarField err_

mutableprivate

Definition at line 69 of file Rosenbrock12.H.

◆ dydx_

scalarField dydx_

mutableprivate

Definition at line 70 of file Rosenbrock12.H.

◆ dfdx_

scalarField dfdx_

mutableprivate

Definition at line 71 of file Rosenbrock12.H.

◆ dfdy_

scalarSquareMatrix dfdy_

mutableprivate

Definition at line 72 of file Rosenbrock12.H.

◆ a_

scalarSquareMatrix a_

mutableprivate

Definition at line 73 of file Rosenbrock12.H.

◆ pivotIndices_

labelList pivotIndices_

mutableprivate

Definition at line 74 of file Rosenbrock12.H.

◆ a21

const scalar a21 = 1.0/gamma

staticprivate

Definition at line 77 of file Rosenbrock12.H.

◆ c21

const scalar c21 = -2.0/gamma

staticprivate

Definition at line 78 of file Rosenbrock12.H.

◆ b1

const scalar b1 = (3.0/2.0)/gamma

staticprivate

Definition at line 79 of file Rosenbrock12.H.

◆ b2

const scalar b2 = (1.0/2.0)/gamma

staticprivate

Definition at line 79 of file Rosenbrock12.H.

◆ gamma

const scalar gamma = 1 + 1.0/std::sqrt(2.0)

staticprivate

Definition at line 80 of file Rosenbrock12.H.

◆ c2

const scalar c2 = 1.0

staticprivate

Definition at line 81 of file Rosenbrock12.H.

◆ e1

const scalar e1 = b1 - 1.0/gamma

staticprivate

Definition at line 82 of file Rosenbrock12.H.

◆ e2

const scalar e2 = b2

staticprivate

Definition at line 82 of file Rosenbrock12.H.

◆ d1

const scalar d1 = gamma

staticprivate

Definition at line 83 of file Rosenbrock12.H.

◆ d2

const scalar d2 = -gamma

staticprivate

Definition at line 83 of file Rosenbrock12.H.

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

src/ODE/ODESolvers/Rosenbrock12/Rosenbrock12.H
src/ODE/ODESolvers/Rosenbrock12/Rosenbrock12.C

Public Member Functions

Private Attributes

Static Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Rosenbrock12()

Member Function Documentation

◆ TypeName()

◆ solve() [1/5]

◆ solve() [2/5]

◆ solve() [3/5]

◆ solve() [4/5]

◆ solve() [5/5]

Field Documentation

◆ k1_

◆ k2_

◆ err_

◆ dydx_

◆ dfdx_

◆ dfdy_

◆ a_

◆ pivotIndices_

◆ a21

◆ c21

◆ b1

◆ b2

◆ gamma

◆ c2

◆ e1

◆ e2

◆ d1

◆ d2