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limitedCubicV.H

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00001 /*---------------------------------------------------------------------------*\
00002   =========                 |
00003   \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
00004    \\    /   O peration     |
00005     \\  /    A nd           | Copyright (C) 1991-2005 OpenCFD Ltd.
00006      \\/     M anipulation  |
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00009     This file is part of OpenFOAM.
00010 
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00020 
00021     You should have received a copy of the GNU General Public License
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00023     Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
00024 
00025 Class
00026     limitedCubicV
00027 
00028 Description
00029     Class with limiter function which returns the limiter for the
00030     limitedCubicV differencing scheme based on r obtained from the LimiterFunc
00031     class.
00032 
00033     Used in conjunction with the template class LimitedScheme.
00034 
00035 SourceFiles
00036     limitedCubicV.C
00037 
00038 \*---------------------------------------------------------------------------*/
00039 
00040 #ifndef limitedCubicV_H
00041 #define limitedCubicV_H
00042 
00043 #include "vector.H"
00044 
00045 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
00046 
00047 namespace Foam
00048 {
00049 
00050 /*---------------------------------------------------------------------------*\
00051                       Class limitedCubicVLimiter Declaration
00052 \*---------------------------------------------------------------------------*/
00053 
00054 template<class LimiterFunc>
00055 class limitedCubicVLimiter
00056 :
00057     public LimiterFunc
00058 {
00059     scalar k_;
00060     scalar twoByk_;
00061 
00062 public:
00063 
00064     limitedCubicVLimiter(Istream& is)
00065     :
00066         k_(readScalar(is))
00067     {
00068         if (k_ < 0 || k_ > 1)
00069         {
00070             FatalIOErrorIn("GammaWeight(Istream& is)", is)
00071                 << "coefficient = " << k_
00072                 << " should be >= 0 and <= 1"
00073                 << exit(FatalIOError);
00074         }
00075 
00076         // Avoid the /0 when k_ = 0
00077         twoByk_ = 2.0/max(k_, SMALL);
00078     }
00079 
00080     scalar limiter
00081     (
00082         const scalar cdWeight,
00083         const scalar faceFlux,
00084         const typename LimiterFunc::phiType& phiP,
00085         const typename LimiterFunc::phiType& phiN,
00086         const typename LimiterFunc::gradPhiType& gradcP,
00087         const typename LimiterFunc::gradPhiType& gradcN,
00088         const vector& d
00089     ) const
00090     {
00091         scalar twor = twoByk_*LimiterFunc::r
00092         (
00093             cdWeight, faceFlux, phiP, phiN, gradcP, gradcN, d
00094         );
00095 
00096         vector fV = cdWeight*phiP + (1.0 - cdWeight)*phiN;
00097 
00098         scalar fVphiP = fV & phiP;
00099         scalar fVphiN = fV & phiN;
00100 
00101         scalar fVphiU;
00102 
00103         if (faceFlux > 0)
00104         {
00105             fVphiU = fVphiP;
00106         }
00107         else
00108         {
00109             fVphiU = fVphiN;
00110         }
00111 
00112         // Calculate the face value using cubic interpolation
00113         scalar fVphif = 
00114             cdWeight*(fVphiP - 0.25*(fV & (d & gradcN)))
00115           + (1 - cdWeight)*(fVphiN + 0.25*(fV & (d & gradcP)));
00116 
00117         scalar fVphiCD = cdWeight*fVphiP + (1 - cdWeight)*fVphiN;
00118 
00119         // Calculate the effective limiter for the cubic interpolation
00120         scalar cubicLimiter =
00121             (fVphif - fVphiU)/stabilise(fVphiCD - fVphiU, SMALL);
00122 
00123         // Limit the limiter to obey the TVD constraint
00124         return max(min(min(twor, cubicLimiter), 2), 0);
00125     }
00126 };
00127 
00128 
00129 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
00130 
00131 } // End namespace Foam
00132 
00133 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
00134 
00135 #endif
00136 
00137 // ************************************************************************* //
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