1 /*---------------------------------------------------------------------------*\
3 \\ / F ield | foam-extend: Open Source CFD
4 \\ / O peration | Version: 3.2
5 \\ / A nd | Web: http://www.foam-extend.org
6 \\/ M anipulation | For copyright notice see file Copyright
7 -------------------------------------------------------------------------------
9 This file is part of foam-extend.
11 foam-extend is free software: you can redistribute it and/or modify it
12 under the terms of the GNU General Public License as published by the
13 Free Software Foundation, either version 3 of the License, or (at your
14 option) any later version.
16 foam-extend is distributed in the hope that it will be useful, but
17 WITHOUT ANY WARRANTY; without even the implied warranty of
18 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
19 General Public License for more details.
21 You should have received a copy of the GNU General Public License
22 along with foam-extend. If not, see <http://www.gnu.org/licenses/>.
28 Fourth-order Kaps-Rentrop scheme with adjustive time-step size
29 Numerical Recipes in C, Secn 16.6 page 739-742
30 Alternative reference in Numerical Recipes in C++
35 \*---------------------------------------------------------------------------*/
40 #include "ODESolver.H"
42 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
47 /*---------------------------------------------------------------------------*\
48 Class KRR4 Declaration
49 \*---------------------------------------------------------------------------*/
57 mutable scalarField yTemp_;
58 mutable scalarField dydxTemp_;
59 mutable scalarField g1_;
60 mutable scalarField g2_;
61 mutable scalarField g3_;
62 mutable scalarField g4_;
63 mutable scalarField yErr_;
64 mutable scalarField dfdx_;
65 mutable scalarSquareMatrix dfdy_;
66 mutable scalarSquareMatrix a_;
67 mutable labelList pivotIndices_;
69 static const int maxtry = 40;
71 static const scalar safety, grow, pgrow, shrink, pshrink, errcon;
76 c21, c31, c32, c41, c42, c43,
85 //- Runtime type information
91 //- Construct from ODE
109 const scalarField& yScale,
117 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
119 } // End namespace Foam
121 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
125 // ************************************************************************* //