ODESolver.H

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/*---------------------------------------------------------------------------*\
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  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
   \\    /   O peration     |
    \\  /    A nd           | www.openfoam.com
     \\/     M anipulation  |
-------------------------------------------------------------------------------
    Copyright (C) 2011-2016 OpenFOAM Foundation
    Copyright (C) 2019 OpenCFD Ltd.
-------------------------------------------------------------------------------
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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    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
    for more details.

    You should have received a copy of the GNU General Public License
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Class
    Foam::ODESolver

Group
    grpODESolvers

Description
    Abstract base-class for ODE system solvers

SourceFiles
    ODESolver.C

\*---------------------------------------------------------------------------*/

#ifndef Foam_ODESolver_H
#define Foam_ODESolver_H

#include "ODESystem.H"
#include "typeInfo.H"
#include "autoPtr.H"

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

namespace Foam
{

/*---------------------------------------------------------------------------*\
                         Class ODESolver Declaration
\*---------------------------------------------------------------------------*/

class ODESolver
{
protected:

    // Protected Data

        //- Reference to ODESystem
        const ODESystem& odes_;

        //- Maximum size of the ODESystem
        const label maxN_;

        //- Size of the ODESystem (adjustable)
        mutable label n_;

        //- Absolute convergence tolerance per step
        scalarField absTol_;

        //- Relative convergence tolerance per step
        scalarField relTol_;

        //- The maximum number of sub-steps allowed for the integration step
        label maxSteps_;


    // Protected Member Functions

        //- Return the nomalized scalar error
        scalar normalizeError
        (
            const scalarField& y0,
            const scalarField& y,
            const scalarField& err
        ) const;

        //- No copy construct
        ODESolver(const ODESolver&) = delete;

        //- No copy assignment
        void operator=(const ODESolver&) = delete;


public:

    friend class ODESystem;

    //- Runtime type information
    TypeName("ODESolver");

    class stepState
    {
    public:

        const bool forward;
        scalar dxTry;
        scalar dxDid;
        bool first;
        bool last;
        bool reject;
        bool prevReject;

        stepState(const scalar dx)
        :
            forward(dx > 0 ? true : false),
            dxTry(dx),
            dxDid(0),
            first(true),
            last(false),
            reject(false),
            prevReject(false)
        {}
    };


    // Declare run-time constructor selection table

        declareRunTimeSelectionTable
        (
            autoPtr,
            ODESolver,
            dictionary,
            (const ODESystem& ode, const dictionary& dict),
            (ode, dict)
        );


    // Constructors

        //- Construct for given ODESystem
        ODESolver(const ODESystem& ode, const dictionary& dict);

        //- Construct for given ODESystem specifying tolerances
        ODESolver
        (
            const ODESystem& ode,
            const scalarField& absTol,
            const scalarField& relTol
        );


    // Selectors

        //- Select null constructed
        static autoPtr<ODESolver> New
        (
            const ODESystem& ode,
            const dictionary& dict
        );


    //- Destructor
    virtual ~ODESolver() = default;


    // Member Functions

        //- The number of equations to solve
        label nEqns() const noexcept { return n_; }

        //- Access to the absolute tolerance field
        scalarField& absTol() noexcept { return absTol_; }

        //- Access to the relative tolerance field
        scalarField& relTol() noexcept { return relTol_; }

        //- Resize the ODE solver
        virtual bool resize() = 0;

        template<class Type>
        static inline void resizeField(UList<Type>& f, const label n);

        template<class Type>
        inline void resizeField(UList<Type>& f) const;

        inline void resizeMatrix(scalarSquareMatrix& m) const;

        //- Solve the ODE system as far as possible up to dxTry
        //  adjusting the step as necessary to provide a solution within
        //  the specified tolerance.
        //  Update the state and return an estimate for the next step in dxTry
        virtual void solve
        (
            scalar& x,
            scalarField& y,
            scalar& dxTry
        ) const;

        //- Solve the ODE system as far as possible up to dxTry
        //  adjusting the step as necessary to provide a solution within
        //  the specified tolerance.
        //  Update the state and return an estimate for the next step in dxTry
        virtual void solve
        (
            scalar& x,
            scalarField& y,
            stepState& step
        ) const;

        //- Solve the ODE system from xStart to xEnd, update the state
        //  and return an estimate for the next step in dxTry
        virtual void solve
        (
            const scalar xStart,
            const scalar xEnd,
            scalarField& y,
            scalar& dxEst
        ) const;
};


// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

} // End namespace Foam

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

#include "ODESolverI.H"

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

#endif

// ************************************************************************* //