LaakkonenDaughterSizeDistribution.C
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25 
28 #include "breakupModel.H"
29 
30 // * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
31 
32 namespace Foam
33 {
34 namespace diameterModels
35 {
36 namespace daughterSizeDistributionModels
37 {
40  (
44  );
45 }
46 }
47 }
48 
49 
50 // * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
51 
54 (
55  const breakupModel& breakup,
56  const dictionary& dict
57 )
58 :
60  C4_(dimensionedScalar::lookupOrDefault("C4", dict, dimless, 18.25))
61 {}
62 
63 
64 // * * * * * * * * * * * * * * * * Destructor * * * * * * * * * * * * * * * //
65 
68 {}
69 
70 
71 // * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
72 
76 (
77  const dimensionedScalar& xk,
78  const dimensionedScalar& v,
79  const dimensionedScalar& bndr,
81 ) const
82 {
83  return
84  (4.0/3.0 + C4_/3)
85  *(
86  pow(xk, -C4_ - 3)*pow(xk - v, C4_)*(v - xk)
87  *(
88  (C4_ + 1)*(C4_ + 2)*(C4_ + 3)*pow3(v)
89  - (C4_ + 1)*(C4_ + 2)*(bndr*(C4_ + 4) - 3*xk)*sqr(v)
90  - 2*v*xk*(C4_ + 1)*(bndr*(C4_ + 4) - 3*xk)
91  - 2*bndr*C4_*sqr(xk)
92  + 6*pow3(xk)
93  - 8*bndr*sqr(xk)
94  )
95  )/(2*range*(C4_ + 4));
96 }
97 
98 
102 (
103  const label i,
104  const label k
105 ) const
106 {
107  const dimensionedScalar& x0 = breakup_.popBal().sizeGroups()[0].x();
108  dimensionedScalar xi = breakup_.popBal().sizeGroups()[i].x() - x0;
109  dimensionedScalar xk = breakup_.popBal().sizeGroups()[k].x() - x0;
110  const UPtrList<sizeGroup>& sizeGroups = breakup_.popBal().sizeGroups();
111 
112  if (i == 0)
113  {
114  dimensionedScalar xii = sizeGroups[i+1].x() - x0;
115 
116  if (k == 0)
117  {
118  return 1;
119  }
120 
121  return
122  antiderivative(xk, xi, xii, (xii-xi))
123  - antiderivative(xk, xii, xii, (xii-xi));
124  }
125  else if (i == k)
126  {
127  dimensionedScalar x = sizeGroups[i-1].x() - x0;
128 
129  return
130  antiderivative(xk, xi, x, (xi-x))
131  - antiderivative(xk, x, x, (xi-x));
132  }
133  else
134  {
135  dimensionedScalar x = sizeGroups[i-1].x() - x0;
136  dimensionedScalar xii = sizeGroups[i+1].x() - x0;
137 
138  return
139  antiderivative(xk, xi, xii, (xii-xi))
140  - antiderivative(xk, xii, xii, (xii-xi))
141  + antiderivative(xk, xi, x, (xi-x))
142  - antiderivative(xk, x, x, (xi-x));
143  }
144 }
145 
146 
147 // ************************************************************************* //
scalar range
label k
Macros for easy insertion into run-time selection tables.
A templated 1D list of pointers to objects of type <T>, where the size of the array is known and used...
Definition: UPtrList.H:66
Base class for breakup models which provide a total breakup rate and a separate daughter size distrib...
Definition: breakupModel.H:56
Base class for daughter size distribution models. Currently only supports field-independent formulati...
Daughter size distribution model of Laakkonen et al. (2007). Note that the diameters in the original ...
dimensionedScalar antiderivative(const dimensionedScalar &xk, const dimensionedScalar &v, const dimensionedScalar &bndr, const dimensionedScalar range) const
Calculate antiderivative.
virtual dimensionedScalar calcNik(const label i, const label k) const
Calculate contribution to sizeGroup i due to breakup in sizeGroup k.
A list of keyword definitions, which are a keyword followed by any number of values (e....
Definition: dictionary.H:160
addToRunTimeSelectionTable(daughterSizeDistributionModel, LaakkonenDaughterSizeDistribution, dictionary)
defineTypeNameAndDebug(LaakkonenDaughterSizeDistribution, 0)
Namespace for OpenFOAM.
intWM_LABEL_SIZE_t label
A label is an int32_t or int64_t as specified by the pre-processor macro WM_LABEL_SIZE.
Definition: label.H:59
dimensionedSymmTensor sqr(const dimensionedVector &dv)
dimensionedScalar pow3(const dimensionedScalar &ds)
const dimensionSet dimless
dimensionedScalar pow(const dimensionedScalar &ds, const dimensionedScalar &expt)
dictionary dict