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limitedCubic.H
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5  \\ / A nd | Copyright (C) 2011-2018 OpenFOAM Foundation
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23 
24 Class
25  Foam::limitedCubicLimiter
26 
27 Description
28  Class with limiter function which returns the limiter for the
29  TVD limited centred-cubic differencing scheme based on r obtained from
30  the LimiterFunc class.
31 
32  Used in conjunction with the template class LimitedScheme.
33 
34 SourceFiles
35  limitedCubic.C
36 
37 \*---------------------------------------------------------------------------*/
38 
39 #ifndef limitedCubic_H
40 #define limitedCubic_H
41 
42 #include "vector.H"
43 
44 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
45 
46 namespace Foam
47 {
48 
49 /*---------------------------------------------------------------------------*\
50  Class limitedCubicLimiter Declaration
51 \*---------------------------------------------------------------------------*/
52 
53 template<class LimiterFunc>
55 :
56  public LimiterFunc
57 {
58  scalar k_;
59  scalar twoByk_;
60 
61 public:
62 
64  :
65  k_(readScalar(is))
66  {
67  if (k_ < 0 || k_ > 1)
68  {
70  << "coefficient = " << k_
71  << " should be >= 0 and <= 1"
72  << exit(FatalIOError);
73  }
74 
75  // Avoid the /0 when k_ = 0
76  twoByk_ = 2.0/max(k_, small);
77  }
78 
79  scalar limiter
80  (
81  const scalar cdWeight,
82  const scalar faceFlux,
83  const typename LimiterFunc::phiType& phiP,
84  const typename LimiterFunc::phiType& phiN,
85  const typename LimiterFunc::gradPhiType& gradcP,
86  const typename LimiterFunc::gradPhiType& gradcN,
87  const vector& d
88  ) const
89  {
90  scalar twor = twoByk_*LimiterFunc::r
91  (
92  faceFlux, phiP, phiN, gradcP, gradcN, d
93  );
94 
95  scalar phiU;
96 
97  if (faceFlux > 0)
98  {
99  phiU = phiP;
100  }
101  else
102  {
103  phiU = phiN;
104  }
105 
106  // Calculate the face value using cubic interpolation
107  scalar phif =
108  cdWeight*(phiP - 0.25*(d & gradcN))
109  + (1 - cdWeight)*(phiN + 0.25*(d & gradcP));
110 
111  scalar phiCD = cdWeight*phiP + (1 - cdWeight)*phiN;
112 
113  // Calculate the effective limiter for the cubic interpolation
114  scalar cubicLimiter = (phif - phiU)/stabilise(phiCD - phiU, small);
115 
116  /*
117  if (twor < 0.05)
118  {
119  cubicLimiter = twor;
120  }
121 
122  return max(min(cubicLimiter, 2), 0);
123  */
124 
125  // Limit the limiter to obey the TVD constraint
126  return max(min(min(twor, cubicLimiter), 2), 0);
127  }
128 };
129 
130 
131 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
132 
133 } // End namespace Foam
134 
135 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
136 
137 #endif
138 
139 // ************************************************************************* //
errorManipArg< error, int > exit(error &err, const int errNo=1)
Definition: errorManip.H:124
dimensioned< Type > max(const dimensioned< Type > &, const dimensioned< Type > &)
An Istream is an abstract base class for all input systems (streams, files, token lists etc)...
Definition: Istream.H:57
bool readScalar(const char *buf, doubleScalar &s)
Read whole of buf as a scalar. Return true if successful.
Definition: doubleScalar.H:75
Class with limiter function which returns the limiter for the TVD limited centred-cubic differencing ...
Definition: limitedCubic.H:53
dimensioned< Type > min(const dimensioned< Type > &, const dimensioned< Type > &)
tmp< DimensionedField< scalar, GeoMesh > > stabilise(const DimensionedField< scalar, GeoMesh > &dsf, const dimensioned< scalar > &ds)
#define FatalIOErrorInFunction(ios)
Report an error message using Foam::FatalIOError.
Definition: error.H:331
limitedCubicLimiter(Istream &is)
Definition: limitedCubic.H:62
scalar limiter(const scalar cdWeight, const scalar faceFlux, const typename LimiterFunc::phiType &phiP, const typename LimiterFunc::phiType &phiN, const typename LimiterFunc::gradPhiType &gradcP, const typename LimiterFunc::gradPhiType &gradcN, const vector &d) const
Definition: limitedCubic.H:79
Namespace for OpenFOAM.
IOerror FatalIOError