L-stable, stiffly-accurate embedded Rosenbrock ODE solver of order (2)3. More...

Inheritance diagram for rodas23:

Collaboration diagram for rodas23:

[legend]

Public Member Functions
	TypeName ("rodas23")
	Runtime type information. More...

	rodas23 (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	k3_

scalarField	dy_

scalarField	err_

scalarField	dydx_

scalarField	dfdx_

scalarSquareMatrix	dfdy_

scalarSquareMatrix	a_

labelList	pivotIndices_

Static Private Attributes
static const scalar	c3 = 1

static const scalar	d1 = 1.0/2.0

static const scalar	d2 = 3.0/2.0

static const scalar	a31 = 2

static const scalar	a41 = 2

static const scalar	c21 = 4

static const scalar	c31 = 1

static const scalar	c32 = -1

static const scalar	c41 = 1

static const scalar	c42 = -1

static const scalar	c43 = -8.0/3.0

static const scalar	gamma = 1.0/2.0

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, stiffly-accurate embedded Rosenbrock ODE solver of order (2)3.

References:

    Sandu et al,
    "Benchmarking stiff ODE solvers for atmospheric chemistry problems II
     Rosenbrock solvers",
     A. Sandu,
     J.G. Verwer,
     J.G. Blom,
     E.J. Spee,
     G.R. Carmichael,
     F.A. Potra,
     Atmospheric Environment, Volume 31, 1997, Issue 20, Pages 3459-3472

Source files

Definition at line 63 of file rodas23.H.

Constructor & Destructor Documentation

◆ rodas23()

rodas23	(	const ODESystem &	ode,
		const dictionary &	dict
	)

Construct from ODE.

Definition at line 54 of file rodas23.C.

Member Function Documentation

◆ TypeName()

TypeName ( "rodas23" )

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 74 of file rodas23.C.

References 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 154 of file rodas23.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 70 of file rodas23.H.

◆ k2_

scalarField k2_

mutableprivate

Definition at line 71 of file rodas23.H.

◆ k3_

scalarField k3_

mutableprivate

Definition at line 72 of file rodas23.H.

◆ dy_

scalarField dy_

mutableprivate

Definition at line 73 of file rodas23.H.

◆ err_

scalarField err_

mutableprivate

Definition at line 74 of file rodas23.H.

◆ dydx_

scalarField dydx_

mutableprivate

Definition at line 75 of file rodas23.H.

◆ dfdx_

scalarField dfdx_

mutableprivate

Definition at line 76 of file rodas23.H.

◆ dfdy_

scalarSquareMatrix dfdy_

mutableprivate

Definition at line 77 of file rodas23.H.

◆ a_

scalarSquareMatrix a_

mutableprivate

Definition at line 78 of file rodas23.H.

◆ pivotIndices_

labelList pivotIndices_

mutableprivate

Definition at line 79 of file rodas23.H.

◆ c3

const scalar c3 = 1

staticprivate

Definition at line 82 of file rodas23.H.

◆ d1

const scalar d1 = 1.0/2.0

staticprivate

Definition at line 83 of file rodas23.H.

◆ d2

const scalar d2 = 3.0/2.0

staticprivate

Definition at line 83 of file rodas23.H.

◆ a31

const scalar a31 = 2

staticprivate

Definition at line 84 of file rodas23.H.

◆ a41

const scalar a41 = 2

staticprivate

Definition at line 85 of file rodas23.H.

◆ c21

const scalar c21 = 4

staticprivate

Definition at line 86 of file rodas23.H.

◆ c31

const scalar c31 = 1

staticprivate

Definition at line 86 of file rodas23.H.

◆ c32

const scalar c32 = -1

staticprivate

Definition at line 86 of file rodas23.H.

◆ c41

const scalar c41 = 1

staticprivate

Definition at line 87 of file rodas23.H.

◆ c42

const scalar c42 = -1

staticprivate

Definition at line 87 of file rodas23.H.

◆ c43

const scalar c43 = -8.0/3.0

staticprivate

Definition at line 87 of file rodas23.H.

◆ gamma

const scalar gamma = 1.0/2.0

staticprivate

Definition at line 88 of file rodas23.H.

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

src/ODE/ODESolvers/rodas23/rodas23.H
src/ODE/ODESolvers/rodas23/rodas23.C

Public Member Functions

Private Attributes

Static Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ rodas23()

Member Function Documentation

◆ TypeName()

◆ solve() [1/5]

◆ solve() [2/5]

◆ solve() [3/5]

◆ solve() [4/5]

◆ solve() [5/5]

Field Documentation

◆ k1_

◆ k2_

◆ k3_

◆ dy_

◆ err_

◆ dydx_

◆ dfdx_

◆ dfdy_

◆ a_

◆ pivotIndices_

◆ c3

◆ d1

◆ d2

◆ a31

◆ a41

◆ c21

◆ c31

◆ c32

◆ c41

◆ c42

◆ c43

◆ gamma