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Wilcox D. Turbulence modeling for CFD
Wilcox D.  Turbulence modeling for CFD









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: Turbulence modeling for CFD

: Wilcox D.

: en

: / / /

:

ed2k: ed2k stats

: 1994

: 460

: 20.02.2005

: | | ID
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Algebraic models      2364
Algebraic models, Baldwin Lomax      8 5253 53ff 78 81 133 136 160 195 197 207 209 352 365 368
Algebraic models, Cebeci Smith      8 30 5051 53ff 78 133 136 195 197 212 256f 352 365 368
Algebraic models, Prandtl eddy viscosity      31 48 53 69
Algebraic models, Prandtl mixing length      2 6 8 23 2744 47 77 95 100 352 354359
Algebraic Stress Model      221223 233 243 266
Aliasing      319
ASM      see Algebraic Stress Model
Asymptotic, consistency      73 133 138146 150153 247 259
Asymptotic, expansion (defined)      338
Asymptotic, sequence (defined)      338
Autocorrelation      91 316 329
Averaging, ensemble      1112
Averaging, Favre      172174
Averaging, phase      14 20
Averaging, Reynolds      1114
Averaging, spatial      1112
Averaging, time      11
Backscatter      327
Backward-facing step      161163 221 261263 266 321 328
Boundary-layer applications, compressible, flat-plate      81 195198
Boundary-layer applications, compressible, nonadiabatic      201202 255256
Boundary-layer applications, compressible, rough-wall      201203
Boundary-layer applications, compressible, separated      203209 263266
Boundary-layer applications, compressible, variable-pressure      198201
Boundary-layer applications, incompressible, curved-wall      215217 253255
Boundary-layer applications, incompressible, flat-plate      59 81 133136 142 253
Boundary-layer applications, incompressible, mass transfer      131132 136138
Boundary-layer applications, incompressible, rough-wall      128130
Boundary-layer applications, incompressible, separated      6164 6668 8182 160
Boundary-layer applications, incompressible, spinning-cylinder      256257
Boundary-layer applications, incompressible, transitional      155159
Boundary-layer applications, incompressible, unsteady      256261
Boundary-layer applications, incompressible, variable-pressure      5961 6667 78 8182 136 142146 253
Boussinesq approximation (defined)      23
Butterfly effect      329
Cascading      45 314 316 320 327
CFL condition (defined)      293
CFL number (defined)      293
Channel flow      5359 94 132134 154156 248250 364370
Channel flow, rotating      249
Channel flow, skin friction formula      56
Clauser defect law      48 105 111
Common part      106 345
Complete model      7 73 83 99 163
Completely-rough surface      129130
Convective Mach number      186
Convergence, grid      304305
Convergence, iteration      303304
Correlation (defined)      15
Correlation, auto      see Autocorrelation
Correlation, single-point      90 227
Correlation, two-point      90 227
Cross-term stress      325
Curved-wall flow      see Boundary-layer applications
Defect layer      4446 48 110121 127 142 375
Delta formulation      298
Displacement thickness (defined)      197
Dissipating eddies      4 85 89 146 233 314 318 320 323
Dissipation (defined)      75
Dissipation, dilatation      184
Dissipation, Favre-averaged      179
Dissipation, incompressible      74
Dissipation, solenoidal      184
Dissipation, tensor      224
Distinguished limit      343
Drastic surgery      75 89 90 231 233
Dynamic SGS model      327
Dynamical system      328330
echo effect      see Pressure-echo effect
Eddy shock      183 185
Eddy turnover time      315 320
Energy spectral density      316
Energy-bearing eddies      86 89 233 238 314 316
Enstrophy      86
Entrainment      100 281 284
Equilibrium parameter (defined)      10
Equilibrium turbulence      2930 63 77
Ergodic hypothesis      12
Escudier defect law      48
Far wake      3238 95ff 242 279 355356
Far wake, spreading rate (defined)      99
Fast Fourier transform (FFT)      320
Filter      323325
Filter, function      324
Filter, Gaussian      324
Filter, volume-average box      323
Filter, width      323
Flux Jacobian matrix      298
Fouriers law      175
Friction velocity (defined)      46 190
Gradient-diffusion approximation      76
Grid insensitivity      see Convergence grid
Half-equation models      6567
Half-equation models, Hung      64 66
Half-equation models, Johnson King      6567 78 160
Half-equation models, Shang Hankey      63
Heat transfer      6364 158 172 182 195 197198 200201 204205 207210 215 321322 328
Heat-flux vector, laminar      see Fouriers law
Heat-flux vector, turbulent      181
Homogeneous turbulence      12 184 218 235242
Homogeneous turbulence, anisotropic      236
Homogeneous turbulence, isotropic      93 235 326
Homogeneous turbulence, rotating      218 234 242
Homogeneous turbulence, sheared      235 240
Homogeneous turbulence, strained      235 240 321
Hypothesis of local isotropy      224 233 314
Incomplete model      6 23 37 67 68 73 163
Inertial subrange      316
Inhomogeneous turbulence      12 184 227
Inner expansion (defined)      342
Integral scale, length      90 314
Integral scale, time      91
Intermittency      49
Invariant modeling      224
Jet, plane      4144 95ff 242 359360
Jet, radial      103 359360
Jet, round      4144 95ff 242 359360
Jet, spreading rate (defined)      99
Karmans constant (defined)      47
Klebanoff intermittency function      4952
Knudsen number (defined)      27
Kolmogorov -5/3 law      316
Kolmogorov scales (defined)      314
kurtosis      186
Law of the wake      117
Law of the wall (defined), classical      47
Law of the wall with suction      71
Law of the wall, compressible      189195
Law of the wall, curved-wall      217
Leonard stress      325
Levy Lees variables      429
Locally homogeneous      227
Log layer      4446 48 51 9394 105110 122 171 189 195 197 217 235 244 322
Mass transfer      see Boundary-layer applications
Matching (defined)      344
Mean free path      23 25 27
Mixing layer      3841 95ff 242 321 357358
Mixing layer, compressible      172 183189 195
Mixing layer, curved      242243
Mixing layer, spreading rate (defined)      99
Mixing-length hypothesis      6 23 2730
Momentum-integral equation      113
Morkovins hypothesis      172
Navier Stokes equation, Favre-averaged      176
Navier Stokes equation, filtered      325
Navier Stokes equation, Reynolds-averaged      16
Navier Stokes operator      17 88 166
Nonstationary turbulence      14
Oldroyd derivative      219220
One-equation models      7783
One-equation models, Baldwin Barth      8 79 8182 160 197
One-equation models, Bradshaw Ferriss Atwell      8 7879 94
One-equation models, Goldberg      8 78 81
One-equation models, Nee Kovasznay      78
One-equation models, Prandtl Emmons Glushko      6 7479 327
One-equation models, Spalart Allmaras      8 7981 281
Outer expansion (defined)      341
Overlap region (defined)      344
Perfect-gas law      175 423
Permutation tensor (defined)      334
Phase-space portrait      239
Pipe flow      4 5359 132135 154157 248251 364370
Pipe flow, skin friction formula      56
Popes modification      102 104 359
Prandtl number, laminar      175 328 423
Prandtl number, turbulent      182 357 423
Pressure diffusion      7576 182183
Pressure dilatation      179 182183
Pressure work      179 183
Pressure-echo effect      229230 235 248249
Pressure-strain correlation      222 224 226231 233 235 243
Pressure-strain correlation, rapid (defined)      226
Pressure-strain correlation, slow (defined)      226
Pressure-strain redistribution      see Pressure-strain correlation
Production (defined)      75
Pseudo-spectral method      320 323
Rapid pressure strain      see Pressure-strain correlation
Rapid pressure-strain models, Launder Reece Rodi      229
Rapid pressure-strain models, Lumley      230
Rapid pressure-strain models, Speziale Sarkar Gatski      230
Realizability      220 224 229
Realization      321
Resolvable scale      324325
Return to isotropy      214 220 222 228 239
Reynolds-stress (defined)      16
Reynolds-stress, anisotropy tensor      225
Reynolds-stress, equation      19 179
Reynolds-stress, tensor invariants      230
Reynolds analogy      181
Richardson extrapolation      304305
Richardson number      217
Rodis ASM approximation      221
Rossby number      252
Rotating channel flow      see Channel flow rotating
Rotation tensor (defined)      218
Round-jet/plane-jet anomaly      102 104 242243
Rubel Melnik transformation      277 281282 286 351 353 371372
Second viscosity, eddy      181
Second viscosity, molecular      175
Second-moment closure models      see Second-order closure models
Second-order closure models      223235
Second-order closure models, Daly Harlow      9 228
Second-order closure models, Donaldson      9 224225 228
Second-order closure models, Fu Launder Tselepidakis      231 241
Second-order closure models, Gibson Launder      229 252
Second-order closure models, Gibson Younis      261262
Second-order closure models, Hanjalic Launder      253254
Second-order closure models, Launder Reece Rodi      9 226 231232 235ff.
Second-order closure models, Mellor Herring      225
Second-order closure models, Shih Lumley      231 241
Second-order closure models, Wilcox multiscale      232235 235ff 277 352 364365 368 371 373 391 408409 412 424
Second-order closure models, Wilcox Rubesin      225 232 238 256257
Secondary motion      165 214 218 220223 255 266
Self preserving (defined)      30
Self similar      see Self preserving
SGS Reynolds stress      325
Similarity-solution method      3336
Similarity-solution method, existence conditions      35
Single-point correlation      90 227
Singular perturbation problem, defined      339
Slightly-rough surface      278 364 371
Slow pressure strain      see Pressure-strain correlation
Smagorinsky model      326327
Specific dissipation (defined)      8587
Spectral method      319 320 323 324
Spinning, segmented cylinder      256257
Spreading rate (defined), far wake      99
Spreading rate, jet      99
Spreading rate, mixing layer      99
Stability, analysis      293297
Stability, conditional      294
Stability, unconditional      290 291 294
Stanford Olympics, first      60
Stanford Olympics, second      60
Stationary turbulence      11 12 14
Stiffness      273275 303
Strain-rate tensor (defined)      218
Strange Attractor      328329
Stratification      214 218 224 266
Streamline curvature      7 50 110 214 215217 222223 243 253255 412
Subgrid scale (SGS)      323324 326327
Surface mass transfer      see Boundary-layer applications
Surface roughness      see Boundary-layer applications
Taylor microscale      315
Term-by-term modeling      see Drastic surgery
thermal conductivity      175
Transcendentally small (defined)      338
Turbulence Mach number (defined)      184
Turbulence Reynolds number (defined)      139 152
Turbulent transport      76 182 225226
Turbulent/nonturbulent interface      38 40 94 98 118 279286 305 320 354
Two-equation models      8392
Two-equation models, $k-k\tau$, Zeierman Wolfshtein      91 94
Two-equation models, $k-\epsilon$, Chien      139145 154 194 196 198200 261262 278 291 408 428
Two-equation models, $k-\epsilon$, Dutoya Michard      139 142143
Two-equation models, $k-\epsilon$, Fan Lakshminarayana Barnett      139 291 408 428
Two-equation models, $k-\epsilon$, Hassid Poreh      139 142143
Two-equation models, $k-\epsilon$, Hoffmann      139 142143
Two-equation models, $k-\epsilon$, Jones Launder      87 139142 144145 154 198 205 287 291 408 427
Two-equation models, $k-\epsilon$, Lam Bremhorst      139145 154 278 291 408 427
Two-equation models, $k-\epsilon$, Launder Sharma      8789 92ff. 198 204 232 242243 252 291 352 355 357 359 375 408 427
Two-equation models, $k-\epsilon$, Myong Kasagi      139
Two-equation models, $k-\epsilon$, Reynolds      139
Two-equation models, $k-\epsilon$, Rodi      205 207 209
Two-equation models, $k-\epsilon$, Shih-Hsu      139
Two-equation models, $k-\epsilon$, Speziale Abid Anderson      139
Two-equation models, $k-\epsilon$, Yang Shih      139 291 408 428
Two-equation models, $k-\epsilon$, Zhang So Speziale Lai      139 198 201202
Two-equation models, $k-\omega$, Kolmogorov      78 8388 92
Two-equation models, $k-\omega$, Speziale Abid Anderson      85
Two-equation models, $k-\omega$, Wilcox      9 8487 92ff 194 196 198 216 223 260 265 277 352 355 357 359 364365 368 371 373 375 391 408 412 424
Two-equation models, $k-\omega^2$, Saffman      8 84 88 94 123 281 284
Two-equation models, $k-\omega^2$, Saffman Wilcox      9 85 190 203
Two-equation models, $k-\omega^2$, Spalding      8586 124
Two-equation models, $k-\omega^2$, Wilcox Alber      9 8586 183
Two-equation models, $k-\omega^2$, Wilcox Rubesin      9 8586 110 114 123 142144 151 214 219 238 256257 289
Two-equation models, $k-\omega^2$, Wilcox Traci      9 85
Two-equation models, $k-\tau$, Speziale Abid Anderson      92 123124
Two-equation models, $k^{1/2}-\omega$, Coakley      85
Two-equation models, k-kl, Ng-Spalding      91
Two-equation models, k-kl, Rodi Spalding      91
Two-equation models, k-kl, Rotta      83 90
Two-equation models, k-kl, Smith      91
Two-equation models, k-kl, Vollmers Rotta      281
Two-equation models, k-l, Rotta      83
Two-point correlation      90 227
Universal equilibrium theory      314 316
Unsteady flow      14 256261 292 296
Van Driest damping function (defined)      47
Velocity thickness (defined)      50
Viscous sublayer      4446 48 122125 128 130132 142 152 244247 261 277 305 322 373374
Viscous-interface layer      284286 308
Von Neumann stability analysis      see Stability analysis
Vortex stretching      3 4 94 103
Wake      see Far wake
Wake-strength parameter      117120 375
Wall functions      126128 133 142 161f 195 204f 244f 248 255 261ff 275f 305
Wall-reflection effect      see Pressure-echo effect
Weak solution      279284
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