Rosenbrock12.H

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License
    This file is part of OpenFOAM.
 
    OpenFOAM is free software: you can redistribute it and/or modify it
    under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.
 
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Class
    Foam::Rosenbrock12
 
Description
    L-stable embedded Rosenbrock ODE solver of order (1)2.
 
    References:
    \verbatim
        "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.
    \endverbatim
 
SourceFiles
    Rosenbrock12.C
 
\*---------------------------------------------------------------------------*/
 
#ifndef Rosenbrock12_H
#define Rosenbrock12_H
 
#include "ODESolver.H"
#include "adaptiveSolver.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
 
/*---------------------------------------------------------------------------*\
                           Class Rosenbrock12 Declaration
\*---------------------------------------------------------------------------*/
 
class Rosenbrock12
:
    public ODESolver,
    public adaptiveSolver
{
    // Private data
 
        mutable scalarField k1_;
        mutable scalarField k2_;
        mutable scalarField err_;
        mutable scalarField dydx_;
        mutable scalarField dfdx_;
        mutable scalarSquareMatrix dfdy_;
        mutable scalarSquareMatrix a_;
        mutable labelList pivotIndices_;
 
        static const scalar
            a21,
            c21,
            b1, b2,
            gamma,
            c2,
            e1, e2,
            d1, d2;
 
 
public:
 
    //- Runtime type information
    TypeName("Rosenbrock12");
 
 
    // Constructors
 
        //- Construct from ODE
        Rosenbrock12(const ODESystem& ode, const dictionary& dict);
 
 
    // Member Functions
 
        //- Inherit solve from ODESolver
        using ODESolver::solve;
 
        //- Solve a single step dx and return the error
        scalar solve
        (
            const scalar x0,
            const scalarField& y0,
            const scalarField& dydx0,
            const scalar dx,
            scalarField& y
        ) const;
 
        //- Solve the ODE system and the update the state
        void solve
        (
            scalar& x,
            scalarField& y,
            scalar& dxTry
        ) const;
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //