analytical.C
Go to the documentation of this file.
1 /*---------------------------------------------------------------------------*\
2  ========= |
3  \\ / F ield | OpenFOAM: The Open Source CFD Toolbox
4  \\ / O peration |
5  \\ / A nd | www.openfoam.com
6  \\/ M anipulation |
7 -------------------------------------------------------------------------------
8  Copyright (C) 2011-2017 OpenFOAM Foundation
9 -------------------------------------------------------------------------------
10 License
11  This file is part of OpenFOAM.
12 
13  OpenFOAM is free software: you can redistribute it and/or modify it
14  under the terms of the GNU General Public License as published by
15  the Free Software Foundation, either version 3 of the License, or
16  (at your option) any later version.
17 
18  OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
19  ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
20  FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
21  for more details.
22 
23  You should have received a copy of the GNU General Public License
24  along with OpenFOAM. If not, see <http://www.gnu.org/licenses/>.
25 
26 \*---------------------------------------------------------------------------*/
27 
28 #include "analytical.H"
30 
31 // * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
32 
33 namespace Foam
34 {
35 namespace integrationSchemes
36 {
39 }
40 }
41 
42 // * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
43 
45 {}
46 
47 
48 // * * * * * * * * * * * * * * * * Destructor * * * * * * * * * * * * * * * //
49 
51 {}
52 
53 
54 // * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
55 
57 (
58  const scalar dt,
59  const scalar Beta
60 ) const
61 {
62  return
63  mag(Beta*dt) > SMALL
64  ? (1 - exp(- Beta*dt))/Beta
65  : dt;
66 }
67 
68 
70 (
71  const scalar dt,
72  const scalar Beta
73 ) const
74 {
75  return
76  mag(Beta*dt) > SMALL
77  ? dt/Beta - (1 - exp(- Beta*dt))/sqr(Beta)
78  : sqr(dt);
79 }
80 
81 
82 // ************************************************************************* //
Foam::integrationSchemes::analytical
Analytical integration scheme.
Definition: analytical.H:53
Foam::word
A class for handling words, derived from Foam::string.
Definition: word.H:62
Foam::integrationSchemes::analytical::~analytical
virtual ~analytical()
Destructor.
Definition: analytical.C:50
Foam::exp
dimensionedScalar exp(const dimensionedScalar &ds)
Definition: dimensionedScalar.C:261
Foam::integrationSchemes::addToRunTimeSelectionTable
addToRunTimeSelectionTable(integrationScheme, analytical, word)
Foam::integrationScheme
Base for a set of schemes which integrate simple ODEs which arise from semi-implcit rate expressions.
Definition: integrationScheme.H:90
Foam::integrationSchemes::defineTypeNameAndDebug
defineTypeNameAndDebug(analytical, 0)
addToRunTimeSelectionTable.H
Macros for easy insertion into run-time selection tables.
Foam
Namespace for OpenFOAM.
Definition: atmBoundaryLayer.C:33
Foam::integrationSchemes::analytical::dtEff
virtual scalar dtEff(const scalar dt, const scalar Beta) const
Return the integration effective time step.
Definition: analytical.C:57
analytical.H
Foam::integrationSchemes::analytical::analytical
analytical()
Construct.
Definition: analytical.C:44
Foam::sqr
dimensionedSymmTensor sqr(const dimensionedVector &dv)
Definition: dimensionedSymmTensor.C:51
Foam::mag
dimensioned< typename typeOfMag< Type >::type > mag(const dimensioned< Type > &dt)
Foam::integrationSchemes::analytical::sumDtEff
virtual scalar sumDtEff(const scalar dt, const scalar Beta) const
Return the integral of the effective time step.
Definition: analytical.C:70