SIBS.H

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/*---------------------------------------------------------------------------*\
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  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
   \\    /   O peration     |
    \\  /    A nd           | Copyright (C) 2011-2013 OpenFOAM Foundation
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License
    This file is part of OpenFOAM.
 
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    under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
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    You should have received a copy of the GNU General Public License
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Class
    Foam::SIBS
 
Description
    Foam::SIBS
 
    Bader, G. and Deuflhard, P.
    "A Semi-Implicit Mid-Point Rule for
     Stiff Systems of Ordinary Differential Equations."
     Numer. Math. 41, 373-398, 1983.
 
SourceFiles
    SIMPR.C
    polyExtrapolate.C
 
\*---------------------------------------------------------------------------*/
 
#ifndef SIBS_H
#define SIBS_H
 
#include "ODESolver.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
 
/*---------------------------------------------------------------------------*\
                           Class SIBS Declaration
\*---------------------------------------------------------------------------*/
 
class SIBS
:
    public ODESolver
{
    // Private data
 
        static const label kMaxX_ = 7, iMaxX_ = kMaxX_ + 1;
        static const label nSeq_[iMaxX_];
 
        static const scalar safe1, safe2, redMax, redMin, scaleMX;
 
        mutable scalarField a_;
        mutable scalarSquareMatrix alpha_;
        mutable scalarRectangularMatrix d_p_;
        mutable scalarField x_p_;
        mutable scalarField err_;
 
        mutable scalarField yTemp_;
        mutable scalarField ySeq_;
        mutable scalarField yErr_;
        mutable scalarField dydx0_;
        mutable scalarField dfdx_;
        mutable scalarSquareMatrix dfdy_;
 
        mutable label first_, kMax_, kOpt_;
        mutable scalar epsOld_, xNew_;
 
 
    // Private Member Functions
 
        void SIMPR
        (
            const scalar xStart,
            const scalarField& y,
            const scalarField& dydx,
            const scalarField& dfdx,
            const scalarSquareMatrix& dfdy,
            const scalar deltaX,
            const label nSteps,
            scalarField& yEnd
        ) const;
 
        void polyExtrapolate
        (
            const label iest,
            const scalar xest,
            const scalarField& yest,
            scalarField& yz,
            scalarField& dy,
            scalarField& x_p,
            scalarRectangularMatrix& d_p
        ) const;
 
 
public:
 
    //- Runtime type information
    TypeName("SIBS");
 
 
    // Constructors
 
        //- Construct from ODE
        SIBS(const ODESystem& ode, const dictionary& dict);
 
 
    // Member Functions
 
        void solve
        (
            scalar& x,
            scalarField& y,
            scalar& dxTry
        ) const;
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //