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WallDiscretization< X, Diag, OffDiag > Class Template Reference

#include <WallDiscretization.h>

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Public Types

typedef NumTypeTraits< X >
::T_Scalar 		T_Scalar
 
typedef CRMatrix< Diag,
OffDiag, X > 		CCMatrix
 
typedef CCMatrix::DiagArray DiagArray
 
typedef CCMatrix::PairWiseAssembler CCAssembler
 
typedef Gradient< X > XGrad
 
typedef Array< int > IntArray
 
typedef Array< X > XArray
 
typedef Array< T_Scalar > TArray
 
typedef Vector< T_Scalar, 3 > VectorT3
 
typedef Array< VectorT3 > VectorT3Array
 
typedef Array< XGrad > GradArray
 

Public Member Functions

 WallDiscretization (const MeshList &meshes, const GeomFields &geomFields, Field &varField, Field &energyField, Field &densityField, Field &wallstressField, Field &parallelvelocityField, Field &tauwallField, Field &diffusivityField, Field &muField, const Field &varGradientField, const T_Scalar thickness=0.0)
 
FlowModelOptions< double > & getOptions ()
 
void discretize (const Mesh &mesh, MultiFieldMatrix &mfmatrix, MultiField &xField, MultiField &rField)
 
- Public Member Functions inherited from Discretization
 Discretization (const MeshList &meshes)
 
virtual ~Discretization ()
 
 DEFINE_TYPENAME ("Discretization")
 

Private Attributes

const MeshList _meshes
 
const GeomFields & _geomFields
 
Field & _varField
 
Field & _energyField
 
Field & _densityField
 
Field & _wallstressField
 
Field & _parallelvelocityField
 
Field & _tauwallField
 
Field & _diffusivityField
 
Field & _muField
 
const Field & _varGradientField
 
FlowModelOptions< double > _options
 
const T_Scalar _thickness
 

Additional Inherited Members

- Protected Attributes inherited from Discretization
const MeshList & _meshes
 

Detailed Description

template<class X, class Diag, class OffDiag>
class WallDiscretization< X, Diag, OffDiag >

Definition at line 32 of file WallDiscretization.h.

Member Typedef Documentation

template<class X , class Diag , class OffDiag >
typedef CCMatrix::PairWiseAssembler WallDiscretization< X, Diag, OffDiag >::CCAssembler

Definition at line 39 of file WallDiscretization.h.

template<class X , class Diag , class OffDiag >
typedef CRMatrix<Diag,OffDiag,X> WallDiscretization< X, Diag, OffDiag >::CCMatrix

Definition at line 37 of file WallDiscretization.h.

template<class X , class Diag , class OffDiag >
typedef CCMatrix::DiagArray WallDiscretization< X, Diag, OffDiag >::DiagArray

Definition at line 38 of file WallDiscretization.h.

template<class X , class Diag , class OffDiag >
typedef Array<XGrad> WallDiscretization< X, Diag, OffDiag >::GradArray

Definition at line 49 of file WallDiscretization.h.

template<class X , class Diag , class OffDiag >
typedef Array<int> WallDiscretization< X, Diag, OffDiag >::IntArray

Definition at line 42 of file WallDiscretization.h.

template<class X , class Diag , class OffDiag >
typedef NumTypeTraits<X>::T_Scalar WallDiscretization< X, Diag, OffDiag >::T_Scalar

Definition at line 35 of file WallDiscretization.h.

template<class X , class Diag , class OffDiag >
typedef Array<T_Scalar> WallDiscretization< X, Diag, OffDiag >::TArray

Definition at line 45 of file WallDiscretization.h.

template<class X , class Diag , class OffDiag >
typedef Vector<T_Scalar,3> WallDiscretization< X, Diag, OffDiag >::VectorT3

Definition at line 46 of file WallDiscretization.h.

template<class X , class Diag , class OffDiag >
typedef Array<VectorT3> WallDiscretization< X, Diag, OffDiag >::VectorT3Array

Definition at line 47 of file WallDiscretization.h.

template<class X , class Diag , class OffDiag >
typedef Array<X> WallDiscretization< X, Diag, OffDiag >::XArray

Definition at line 44 of file WallDiscretization.h.

template<class X , class Diag , class OffDiag >
typedef Gradient<X> WallDiscretization< X, Diag, OffDiag >::XGrad

Definition at line 41 of file WallDiscretization.h.

Constructor & Destructor Documentation

template<class X , class Diag , class OffDiag >
WallDiscretization< X, Diag, OffDiag >::WallDiscretization ( const MeshList &  meshes,
const GeomFields &  geomFields,
Field &  varField,
Field &  energyField,
Field &  densityField,
Field &  wallstressField,
Field &  parallelvelocityField,
Field &  tauwallField,
Field &  diffusivityField,
Field &  muField,
const Field &  varGradientField,
const T_Scalar  thickness = 0.0 
)
inline

Definition at line 52 of file WallDiscretization.h.

63  :
64 
65  Discretization(meshes),
66  _geomFields(geomFields),
67  _varField(varField),
68  _energyField(energyField),
69  _densityField(densityField),
70  _wallstressField(wallstressField),
71  _parallelvelocityField(parallelvelocityField),
72  _tauwallField(tauwallField),
73  _diffusivityField(diffusivityField),
74  _muField(muField),
75  _varGradientField(varGradientField),
76  _thickness(thickness)
77 
78  {}
WallDiscretization::_thickness
const T_Scalar _thickness
Definition: WallDiscretization.h:288
Discretization::Discretization
Discretization(const MeshList &meshes)
Definition: Discretization.cpp:8
WallDiscretization::_varGradientField
const Field & _varGradientField
Definition: WallDiscretization.h:286
WallDiscretization::_geomFields
const GeomFields & _geomFields
Definition: WallDiscretization.h:277

Member Function Documentation

template<class X , class Diag , class OffDiag >
void WallDiscretization< X, Diag, OffDiag >::discretize ( const Mesh &  mesh,
MultiFieldMatrix &  mfmatrix,
MultiField &  xField,
MultiField &  rField 
)
inlinevirtual

Implements Discretization.

Definition at line 82 of file WallDiscretization.h.

References WallDiscretization< X, Diag, OffDiag >::_densityField, WallDiscretization< X, Diag, OffDiag >::_diffusivityField, WallDiscretization< X, Diag, OffDiag >::_energyField, WallDiscretization< X, Diag, OffDiag >::_geomFields, WallDiscretization< X, Diag, OffDiag >::_muField, WallDiscretization< X, Diag, OffDiag >::_options, WallDiscretization< X, Diag, OffDiag >::_parallelvelocityField, WallDiscretization< X, Diag, OffDiag >::_tauwallField, WallDiscretization< X, Diag, OffDiag >::_varField, WallDiscretization< X, Diag, OffDiag >::_varGradientField, WallDiscretization< X, Diag, OffDiag >::_wallstressField, GeomFields::area, GeomFields::areaMag, FlowModelOptions< T >::cmu, GeomFields::coordinate, dot(), FlowModelOptions< T >::emp, Mesh::getAllFaceGroups(), Mesh::getCells(), CRMatrix< T_Diag, T_OffDiag, X >::PairWiseAssembler::getCoeff10(), StorageSite::getCount(), CRMatrix< T_Diag, T_OffDiag, X >::getDiag(), Mesh::getFaceCells(), MultiFieldMatrix::getMatrix(), CRMatrix< T_Diag, T_OffDiag, X >::getPairWiseAssembler(), FaceGroup::groupType, harmonicAvg(), GeomFields::ibType, Mesh::IBTYPE_BOUNDARY, Mesh::IBTYPE_FLUID, FaceGroup::site, sqrt(), FlowModelOptions< T >::vk, and GeomFields::volume.

85  {
86 
87 
88  const StorageSite& cells = mesh.getCells();
89 
90  const MultiField::ArrayIndex cVarIndex(&_varField,&cells);
91  CCMatrix& matrix = dynamic_cast<CCMatrix&>(mfmatrix.getMatrix(cVarIndex,
92  cVarIndex));
93 
94  const VectorT3Array& cellCentroid =
95  dynamic_cast<const VectorT3Array&>(_geomFields.coordinate[cells]);
96 
97  const IntArray& ibType = dynamic_cast<const IntArray&>(_geomFields.ibType[cells]);
98  const TArray& cellVolume =
99  dynamic_cast<const TArray&>(_geomFields.volume[cells]);
100 
101 
102  const TArray & rhoCell =
103  dynamic_cast<const TArray&>(_densityField[cells]);
104 
105  const TArray & kCell =
106  dynamic_cast<const TArray&>(_energyField[cells]);
107 
108  const TArray & muCell=
109  dynamic_cast<const TArray&>(_muField[cells]);
110 
111 
112  const VectorT3Array& U =
113  dynamic_cast<const VectorT3Array&>(_varField[cells]);
114 
115  VectorT3Array& Up =
116  dynamic_cast<VectorT3Array&>(_parallelvelocityField[cells]);
117 
118  const TArray& diffCell =
119  dynamic_cast<const TArray&>(_diffusivityField[cells]);
120 
121  const GradArray& xGradCell =
122  dynamic_cast<const GradArray&>(_varGradientField[cells]);
123 
124  const XArray& xCell = dynamic_cast<const XArray&>(xField[cVarIndex]);
125  XArray& rCell = dynamic_cast<XArray&>(rField[cVarIndex]);
126 
127 
128 
129 foreach(const FaceGroupPtr fgPtr, mesh.getAllFaceGroups())
130  {
131  const FaceGroup& fg = *fgPtr;
132  const StorageSite& faces = fg.site;
133  if (fg.groupType =="wall")
134  {
135  const TArray& faceAreaMag =
136  dynamic_cast<const TArray &>(_geomFields.areaMag[faces]);
137 
138  const VectorT3Array& faceArea=
139  dynamic_cast<const VectorT3Array&>(_geomFields.area[faces]);
140 
141  const VectorT3Array& faceCentroid =
142  dynamic_cast<const VectorT3Array&>(_geomFields.coordinate[faces]);
143 
144 
145 
146  VectorT3Array& tauCell =
147  dynamic_cast<VectorT3Array&>(_wallstressField[faces]);
148 
149  //tau parallel to the wall in direction of flow
150 
151  VectorT3Array& TauWallCell =
152  dynamic_cast<VectorT3Array&>(_tauwallField[faces]);
153 
154  const CRConnectivity& faceCells = mesh.getFaceCells(faces);
155 
156  CCAssembler& assembler = matrix.getPairWiseAssembler(faceCells);
157 
158  DiagArray& diag = matrix.getDiag();
159 
160  const int nFaces = faces.getCount();
161 
162  T_Scalar vonk = _options.vk; //vonKarman
163  T_Scalar Emp = _options.emp; //Empirical constant
164  T_Scalar Cmu = _options.cmu; //Cmu constant of k-e model
165  T_Scalar onefourth(0.25);
166  T_Scalar eleven(11.225);
167 
168  for(int f=0; f<nFaces; f++)
169  {
170 
171  T_Scalar ystar = 0; T_Scalar wallMetric =0;
172  const int c0 = faceCells(f,0);
173  const int c1 = faceCells(f,1);
174  VectorT3 n = faceArea[f]/faceAreaMag[f];
175 
176  T_Scalar vol0 = cellVolume[c0];
177  T_Scalar vol1 = cellVolume[c1];
178  //Computation of Diffusion flux
179 
180  VectorT3 ds = cellCentroid[c1]-cellCentroid[c0];
181 
182  // for ib faces ignore the solid cell and use the face centroid for diff metric
183  if (((ibType[c0] == Mesh::IBTYPE_FLUID)
184  && (ibType[c1] == Mesh::IBTYPE_BOUNDARY)) ||
185  ((ibType[c1] == Mesh::IBTYPE_FLUID)
186  && (ibType[c0] == Mesh::IBTYPE_BOUNDARY)))
187  {
188  if (ibType[c0] == Mesh::IBTYPE_FLUID)
189  {
190  vol1 = 0.;
191  ds = faceCentroid[f]-cellCentroid[c0];
192  }
193  else
194  {
195  vol0 = 0.;
196  ds = cellCentroid[c1]-faceCentroid[f];
197  }
198  }
199  //cout << "ds" << ds << endl;
200 
201  T_Scalar faceDiffusivity(1.0);
202  if (vol0 == 0.)
203  faceDiffusivity = diffCell[c1];
204  else if (vol1 == 0.)
205  faceDiffusivity = diffCell[c0];
206  else
207  faceDiffusivity = harmonicAvg(diffCell[c0],diffCell[c1]);
208  const T_Scalar diffMetric = faceAreaMag[f]*faceAreaMag[f]/dot(faceArea[f],ds);
209  const T_Scalar diffCoeff = faceDiffusivity*diffMetric;
210  const VectorT3 secondaryCoeff = faceDiffusivity*(faceArea[f]-ds*diffMetric);
211 
212  const XGrad gradF = (xGradCell[c0]*vol0+xGradCell[c1]*vol1)/(vol0+vol1);
213 
214  const X dFluxSecondary = gradF*secondaryCoeff;
215 
216  const X dFlux = diffCoeff*(xCell[c1]-xCell[c0]) + dFluxSecondary;
217 
218  const T_Scalar yp = ds[0]*n[0] + ds[1]*n[1] + ds[2]*n[2];
219 
220  ystar = (rhoCell[c0]*sqrt(kCell[c0])*pow(Cmu,onefourth)*yp)/muCell[c0];
221 
222  T_Scalar v_dot_n = U[c0][0]*n[0] + U[c0][1]*n[1] + U[c0][2]*n[2];
223 
224  for (int i=0; i<3; i++)
225  {
226  Up[c0][i] = U[c0][i] - v_dot_n*n[i];
227 
228 
229  if (ystar > eleven)
230  {
231  wallMetric = (vonk*rhoCell[c0]*pow(Cmu,onefourth)*sqrt(kCell[c0]))/log(Emp*ystar);
232 
233  }
234 
235  else
236  {
237 
238  wallMetric = muCell[c0]/yp;
239 
240  }
241 
242  tauCell[f][i] = Up[c0][i]*wallMetric;
243 
244  T_Scalar tau_dot_n = tauCell[f][0]*n[0]+ tauCell[f][1]*n[1]+ tauCell[f][2]*n[2];
245 
246  TauWallCell[f][i] = tauCell[f][i] - tau_dot_n*n[i];
247 
248  }
249  // T_Scalar wFlux = TauWallCell[f][0]*faceArea[f][0]+TauWallCell[f][1]*faceArea[f][1]+TauWallCell[f][2]*faceArea[f][2];
250 
251  // cout << "flux" << TauWallCell[f]-dFlux << endl;
252 
253 
254  X flux = TauWallCell[f]-dFlux ;
255 
256  rCell[c0] += flux;
257  rCell[c1] -= flux;
258 
259 
260  rCell[c0] += dFlux;
261  rCell[c1] -= dFlux;
262 
263  //diag[c0] +=diffCoeff;
264  //assembler.getCoeff01(f) -=diffCoeff;
265 
266  T_Scalar wallCoeff = wallMetric- diffCoeff;
267 
268  diag[c1] -=wallCoeff;
269  assembler.getCoeff10(f) +=wallCoeff;
270 
271  }
272  }
273  }
274 }
MultiFieldMatrix::getMatrix
Matrix & getMatrix(const Index &rowIndex, const Index &colIndex)
Definition: MultiFieldMatrix.cpp:42
FaceGroupPtr
shared_ptr< FaceGroup > FaceGroupPtr
Definition: Mesh.h:46
GeomFields::coordinate
Field coordinate
Definition: GeomFields.h:19
FaceGroup
Definition: Mesh.h:28
Mesh::getAllFaceGroups
const FaceGroupList & getAllFaceGroups() const
Definition: Mesh.h:193
harmonicAvg
T harmonicAvg(const T &x0, const T &x1)
Definition: WallDiscretization.h:21
FlowModelOptions::emp
double emp
Definition: FlowBC.h:85
FlowModelOptions::cmu
double cmu
Definition: FlowBC.h:83
WallDiscretization::GradArray
Array< XGrad > GradArray
Definition: WallDiscretization.h:49
WallDiscretization::T_Scalar
NumTypeTraits< X >::T_Scalar T_Scalar
Definition: WallDiscretization.h:35
FaceGroup::groupType
string groupType
Definition: Mesh.h:42
GeomFields::ibType
Field ibType
Definition: GeomFields.h:38
WallDiscretization::CCAssembler
CCMatrix::PairWiseAssembler CCAssembler
Definition: WallDiscretization.h:39
sqrt
Tangent sqrt(const Tangent &a)
Definition: Tangent.h:317
MultiField::ArrayIndex
pair< const Field *, const StorageSite * > ArrayIndex
Definition: MultiField.h:21
WallDiscretization::_varGradientField
const Field & _varGradientField
Definition: WallDiscretization.h:286
WallDiscretization::_options
FlowModelOptions< double > _options
Definition: WallDiscretization.h:287
Mesh::getCells
const StorageSite & getCells() const
Definition: Mesh.h:109
GeomFields::volume
Field volume
Definition: GeomFields.h:26
Mesh::getFaceCells
const CRConnectivity & getFaceCells(const StorageSite &site) const
Definition: Mesh.cpp:388
WallDiscretization::DiagArray
CCMatrix::DiagArray DiagArray
Definition: WallDiscretization.h:38
WallDiscretization::TArray
Array< T_Scalar > TArray
Definition: WallDiscretization.h:45
StorageSite::getCount
int getCount() const
Definition: StorageSite.h:39
GeomFields::area
Field area
Definition: GeomFields.h:23
FlowModelOptions::vk
double vk
Definition: FlowBC.h:84
GeomFields::areaMag
Field areaMag
Definition: GeomFields.h:25
dot
T dot(const Vector< T, 3 > &a, const Vector< T, 3 > &b)
Definition: Vector.h:253
WallDiscretization::CCMatrix
CRMatrix< Diag, OffDiag, X > CCMatrix
Definition: WallDiscretization.h:37
WallDiscretization::_geomFields
const GeomFields & _geomFields
Definition: WallDiscretization.h:277
FaceGroup::site
StorageSite site
Definition: Mesh.h:40
template<class X , class Diag , class OffDiag >
FlowModelOptions<double>& WallDiscretization< X, Diag, OffDiag >::getOptions ( )
inline

Definition at line 80 of file WallDiscretization.h.

References WallDiscretization< X, Diag, OffDiag >::_options.

80 {return _options;}
WallDiscretization::_options
FlowModelOptions< double > _options
Definition: WallDiscretization.h:287

Member Data Documentation

template<class X , class Diag , class OffDiag >
Field& WallDiscretization< X, Diag, OffDiag >::_densityField
private

Definition at line 280 of file WallDiscretization.h.

Referenced by WallDiscretization< X, Diag, OffDiag >::discretize().

template<class X , class Diag , class OffDiag >
Field& WallDiscretization< X, Diag, OffDiag >::_diffusivityField
private

Definition at line 284 of file WallDiscretization.h.

Referenced by WallDiscretization< X, Diag, OffDiag >::discretize().

template<class X , class Diag , class OffDiag >
Field& WallDiscretization< X, Diag, OffDiag >::_energyField
private

Definition at line 279 of file WallDiscretization.h.

Referenced by WallDiscretization< X, Diag, OffDiag >::discretize().

template<class X , class Diag , class OffDiag >
const GeomFields& WallDiscretization< X, Diag, OffDiag >::_geomFields
private

Definition at line 277 of file WallDiscretization.h.

Referenced by WallDiscretization< X, Diag, OffDiag >::discretize().

template<class X , class Diag , class OffDiag >
const MeshList WallDiscretization< X, Diag, OffDiag >::_meshes
private

Definition at line 276 of file WallDiscretization.h.

template<class X , class Diag , class OffDiag >
Field& WallDiscretization< X, Diag, OffDiag >::_muField
private

Definition at line 285 of file WallDiscretization.h.

Referenced by WallDiscretization< X, Diag, OffDiag >::discretize().

template<class X , class Diag , class OffDiag >
FlowModelOptions<double> WallDiscretization< X, Diag, OffDiag >::_options
private

Definition at line 287 of file WallDiscretization.h.

Referenced by WallDiscretization< X, Diag, OffDiag >::discretize(), and WallDiscretization< X, Diag, OffDiag >::getOptions().

template<class X , class Diag , class OffDiag >
Field& WallDiscretization< X, Diag, OffDiag >::_parallelvelocityField
private

Definition at line 282 of file WallDiscretization.h.

Referenced by WallDiscretization< X, Diag, OffDiag >::discretize().

template<class X , class Diag , class OffDiag >
Field& WallDiscretization< X, Diag, OffDiag >::_tauwallField
private

Definition at line 283 of file WallDiscretization.h.

Referenced by WallDiscretization< X, Diag, OffDiag >::discretize().

template<class X , class Diag , class OffDiag >
const T_Scalar WallDiscretization< X, Diag, OffDiag >::_thickness
private

Definition at line 288 of file WallDiscretization.h.

template<class X , class Diag , class OffDiag >
Field& WallDiscretization< X, Diag, OffDiag >::_varField
private

Definition at line 278 of file WallDiscretization.h.

Referenced by WallDiscretization< X, Diag, OffDiag >::discretize().

template<class X , class Diag , class OffDiag >
const Field& WallDiscretization< X, Diag, OffDiag >::_varGradientField
private

Definition at line 286 of file WallDiscretization.h.

Referenced by WallDiscretization< X, Diag, OffDiag >::discretize().

template<class X , class Diag , class OffDiag >
Field& WallDiscretization< X, Diag, OffDiag >::_wallstressField
private

Definition at line 281 of file WallDiscretization.h.

Referenced by WallDiscretization< X, Diag, OffDiag >::discretize().

The documentation for this class was generated from the following file: