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Поиск по указателям |
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Pope S.B. — Turbulent Flows |
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Предметный указатель |
Fourier transform 678-682
Fourier transform of convolution 681
Fourier transform of delta function 680
Fourier transform of derivatives 679
Fourier transform, cosine transform 680
Fourier transform, definition 678
Fourier transform, discrete see Discrete Fourier transform
Fourier transform, fast see FFT
Fourier transform, inverse 678
Fourier transform, table of pairs 679 710
Fourier — Stieltjes integral 690
Fox, R. O. 547 553 555
Fractal 166
Fractal, viscous superlayer 171
Frame rotation 30-33
Franklin, J. N. 666
Frederiksen, R. D. 166
Free shear flows 96-181 354
Frequency spectrum see Spectrum
Freymuth, P. 151-153
Friction factor 292 293 293 295 298
Friction law for boundary layer 306
Friction law for channel flow 279 278-279
Friction law for fully rough pipe flow 298
Friction law for laminar boundary layer 301
Friction law for laminar channel flow 267
Friction law for laminar pipe flow 293
Friction law, Prandtl’s for smooth pipes 292 293 294
Friction law, Schultz — Grunow 307
Friction velocity 268 269 280
Frozen turbulence approximation see Taylor’s hypothesis
Fu, S. 425
Fully-developed flow 265
Fureby, C. 639
Fuss, D. 525
Gad-el-hak, M. 308 324
Gagne, Y. 257
Galilean invariance 24 29-30 399 584 657
Galperin, B. 560
Gamma distribution 50 50-51 511
Gamma distribution, model 511-515
Gamma distribution, Moments 51 515
Gamma function 50 515
Gamma function, incomplete 515 575
Gamma function, properties of 701
Gao, F. 551 586
Gardiner, C. W. 715
Gatski, T. B. xxxiv 425 427 453 454
Gaussian see Normal distribution
Gaussian field 75 202 550
Gaussian field, conditional Laplacian 550 551
Gaussian field, conditional scalar dissipation 550 551
Gaussian process 67 72 718 721
Gauss’s theorem 466 653
Gcurts, D. 603 625 629 639
Generalized function 670
Generalized Langevin model 469-479 489-494
Generalized Langevin model for fluctuating velocity 493
Generalized Langevin model for particle system 522
Generalized Langevin model for rapid distortion 542
Generalized Langevin model with anisotropic diffusion 490
Generalized Langevin model with viscous transport 535
Generalized Langevin model, consistency with Kolmogorov hypotheses 490
Generalized Langevin model, constraint on coefficients 469 476 537
Generalized Langevin model, corresponding Reynolds-stress model 475-479
Generalized Langevin model, effect of diffusion 470 470 473
Generalized Langevin model, effect of drift 471 472 473
Generalized Langevin model, pressure-rate-of-strain model 475
Generalized Langevin model, realizability 491-492
Generalized Langevin model, solution for homogeneous turbulence 474
Generalized Langevin model, tendency to joint normality 475
George, W. K. 6 97 98 100 102 105-108 119 127 149 254 308 310
Germano decomposition 583
Germano, M. 584 620 622 625 628
Germano’s identity 621-622
Ghosal, S. 578 625 626 631
Gibson, M. M. 441
Gicquel, L. Y. M. 632
Gillespie, D. T. 715
Gillis, J. C. 321
Girimaji, S. S. 451 454
Givi, P. 547 630 632 638
Gleick, J. 35 37
Glezer, A. 179
GLM see Generalized Langevin model
Godin, P. 386 461
Gosman, A. D. 639
Grtzbach, G. 635
Gradient diffusion hypothesis 92-95 163 362-363
Gradient-diffusion model for dissipation 378 432
Gradient-diffusion model for PDF of composition 546
Gradient-diffusion model for Reynolds stress 431-432
Gradient-diffusion model for turbulent kinetic energy 371
Graham, I. M. R. 433
Gravity 16
Grid filter 619
Grid turbulence 159 158-161 241
Grid turbulence, decay law 160-161
Grid turbulence, decay law, relation to 376
Grid turbulence, final period see Final period of decay
Grinstein, F. F. 633 638
Guckenheimer, J. 37
Gutmark, E. 135
Hrdle, W. 525
Hadi, I. 432
Hairpin vortex 325 326 327
Hancock, P. E. 433
handedness 28 655-658
Hanjali — Launder model see HL model
Hanjali, K. 287 373 382 383 425 426 431 432 438 458 461
Haritonidis, J. H. 325
Harlow, F. H. 373 431
Haworth — Pope model 477
Haworth, D. C. 427 477 506 560 627 638
Head, M. R. 266 279 280 321 325-327
Heaviside function 676 675-677
Heisenberg, W. 253
Helicity 30 657 658
Helmholtz equation 445
Helmholtz theorem 22
Henbest, S. 326
Herring, H. J. 431
Heskestad, G. 135 136
Hinze, J. O. 8 201 203 250
HL model 425-426
Hockney, R. W. 516
Hoffmann, P H. 321
Hollingsworth, D. 4 101
Holmes, P. xviii 37 325 326 328 330 331
Holst, T. L. 339
Homogeneous turbulence 76
Homogeneous turbulent shear flow 94 154-158 415 424 424 544
Homogeneous turbulent shear flow, mean velocity gradients 158
Homogeneous turbulent shear flow, PDFs 173 174 175
Homogeneous turbulent shear flow, production-to-dissipation ratio 157
Homogeneous turbulent shear flow, rapid distortion 419-420
Homogeneous turbulent shear flow, Reynolds stress 156 157
Hopfinger, E. J. 257
Horseshoe vortex 325
Howarth, L. 196 201
Hsu, A. T. 514 547 556
Huang, G. P. 305
Huffman, G. D. 305
Hunt, J. C. R. 415 421 422 433 494 503
Hussain, F. 328 332
Hussaini, M. Y. 638
Hussein, H. J. 6 97 98 100 102 105-108 IIV 127 254
Hyperviscosity 352
I.i.d. 61
Ideal flow 17
| Imberger, J. 494
Impermeability condition 17 18 283 433 439 538 634
Impossible event 34
Incident properties 530 530 532-534 539
Incomplete gamma function 515 575
Independence 59 63
Independent and identically distributed see i.i.d.
Inertial subrange 186 187 188 238-239
Inertial subrange, scaling of residual quantities 588 589
Inner layer 272 275 276
Integral lengthscale 77 109 109 197 346
Integral lengthscale, longitudinal 197
Integral lengthscale, longitudinal, relation to L 244 245
Integral lengthscale, longitudinal, relation to spectrum 226 228
Integral lengthscale, transverse 197
Integral timescale 69 721
Integral timescale, Lagrangian see Lagrangian integral timescale
Integral timescale, relation to spectrum 71
Integrity basis 453 453
Intermittency 168 171 167-173
Intermittency factor 168 169
Intermittency factor in boundary layer 302
Intermittency factor in mixing layer 172
Intermittency function 168 168
Intermittency, conditional statistics 168-170 173
Intermittency, non-turbulent velocity fluctuations 173 172-173
Intermittency, PDF model 509 513 523
Internal intermittency 258-260 509 589
Invariance, extended Galilean 30
Invariance, frame rotation (lack of) 30
Invariance, frame rotation in two-dimensional flows 32
Invariance, Galilean see Galilean invariance
Invariance, reflectional 27
Invariance, rotation of axes 27
Invariance, time reversal 28
Invariance, translational 27
Inviscid fluid 17
IP model 423 (see also LRR-IP model Lagrangian
Irrotational flow 23 89 167
Isoscalar surface 166
Isotropic stress 88
Isotropic tensor 662
Isotropic tensor, fourth-order 133
Isotropic tensor, second-order 662
Isotropic tensor, sixth-order 205
Isotropic turbulence 76 159
Isotropization of production model see IP model
Isotropy of small-scale motions 184 254
Isotropy of small-scale motions, criteria for 246
Ito calculus 718
Ito transformation 722
Jaberi, F. A. 547 630 632 638
Jacobi polynomials 354
Jacobian 15 481 496 534
Jakirli, S. 432 438
Janicka, J. 555
Jansen, K. 560 627 638
Jayesh 507 511 513 514 544
Jeong, J. 328
jet see Round jet plane
Jimenez, J. 357 604 627
JM model 425-426 427
Johansson, A. V. 433
Johnston, J. P. 321
Joint normal distribution 61-65
Joint normal distribution, characteristic function 712
Joint normal distribution, conditional mean 63
Joint normal distribution, conditional PDF 63
Joint normal distribution, conditional variance 63
Joint normal distribution, marginal PDF 63
Joint normal distribution, standardized 65
Joint PDF see PDF joint
Joint random variables 54-60
Joint random variables, characteristic function 711
Jones and Musonge model see JM model
Jones, W. P. 373 425 427 434-436 443 547
Jovic, S. 356
Jump process 67
Juneja, A. 554
Krmn constant see von Krmn constant
Krmn — Howarth equation 201-206
Kachanov, Y. S. 300
Kailasnath, P. 260 262
Kakhi, M. 547
Kanniche, M. 448
Kaplan, R. E. 328
Karlin, S. 715
Karnik, U. 157
Kassinos, S. C. 422 540 541
Katz, J. 603 628
Kebede, W. 437
Keefe, L. R. 330
Kellogg, O. D. 20
Kellogg, R. M. 255
Kernel estimation 523-529
Kernel function 11 523 525
Kibens, V. 327
Kim, H. T. 324
Kim, J. 157 268-270 273 274 277 282-285 303 328 339 346 353 355 356 371 395 429 435 439 532 540 560 599 600 603
Kim, S. K. 398 399 402 403
Kinematic viscosity see Viscosity
Kinetic energy of filtered velocity field 585
Kinetic energy of filtered velocity field, conservation equation 585
Kinetic energy of filtered velocity field, dissipation 585 586
Kinetic energy, filtered 585
Kinetic energy, Fourier modes 215-219
Kinetic energy, instantaneous 122-124
Kinetic energy, mean flow 122 124
Kinetic energy, turbulent see Turbulent kinetic energy
Kinetic theory 361
Kistler, A. L. 89 171 327
Klebanoff, P. S. 302 303 305 307
Kline, S. J. 323 324 461
Knecht, P. 308 310
Knight, D. 633
Knowns 370
Knudsen number 11 363
Koh, R. C. Y. 494
Kolbe, R. L. 633 638
Kolbe, W. 555
Kollmann, W. 555
Kolmogorov constant, 486 504
Kolmogorov constant, 231 239
Kolmogorov constant, 231 239
Kolmogorov constant, 194 193-195
Kolmogorov constant, , relation to skewness 204
Kolmogorov constant, C 189 231
Kolmogorov constant, relations among C, , , and 232
Kolmogorov constant, relations between C, , , 232
Kolmogorov equation 204
Kolmogorov four-fifths law 204 260
Kolmogorov hypotheses 182-191
Kolmogorov hypotheses, refined 260-262 509
Kolmogorov hypotheses, shortcomings 254-258
Kolmogorov hypotheses, statement of 190
Kolmogorov hypotheses, velocity structure functions 193 194 260-261
Kolmogorov hypotheses, velocity structure functions, Lagrangian 486 490
Kolmogorov scales 128-129 171 185
Kolmogorov scales at wall 287
Kolmogorov scales, in log-law region 290
Kolmogorov scales, relation to other scaLles 200
Kolmogorov scales, Reynolds-number dependence 129 186
Kolmogorov spectrum see Spectrum
Kolmogorov, A. N. 184 191 204 258-261 369 383
Kosly, G. 552
Koseff, J. R. 625 629
Kovasznay, L. S. G. 327 385
Krai, L. D. 461
Kraichnan, R. H. 233 352 551 560 611
Kramers — Moyal equation 715
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