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| Pope S.B. — Turbulent Flows |
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| Предметный указатель |
Correspondence 517 518 614
Corrsin — Kistler equation 89 173
Corrsin, S. 89 94 155-159 163 167 171 174 175 196 197 236 241 246 255 281 327 362
Cost and ease of use of models 338 (see also Appraisal of models)
Courant number 348
Covariance 57
Covariance matrix 712
Covariance of Fourier modes 686 688
Cowling, T. G. 361
CPU time 339
Craft, T. J. 439 434 456
Craya, A. 406
Cross product 654-659 660
Cross stress 583 584 609
Crow, S. C. 360 405 415
Cumulative distribution function see CDF
Curl, R. L. 555
Dahm, W. J. A. 5 166 174
Daly — Harlow model 431 435 446
Daly, B. J. 431
Damping function 434 436 445
Davidov, B. I. 373
de Souza, F. A. 157
Dean, R. B. 278 279 533
Deardorff, J. W. 560 577 603 631
Decay of turbulence see Grid turbulence
Defiltering 604 633
Deiwert, G. S. 339
Dekeyser, I. 165
Delta function 670-677
Delta function, definition 672
Delta function, derivative 674 674
Delta function, distribution 52 51-53
Delta function, multi-dimensional 677
Delta function, normalization condition 673
Delta function, operations 672
Delta function, sifting property 672 677
Delta function, Taylor series 675
Delta function, transformation rule 673
Delta sequence 670 671
Demarcation lengthscale see Lengthscale
Demuren, A. O. 430 448
Determinant of normalized Reynolds stress tensor 396 401 401
Determinant of normalized Reynolds stress tensor, evolution equation 404
Deterministic Lagrangian model 480 492
Devillon, J. C. 547
DFT see discrete Fourier transform
Dibble, R. W. 547
Differential diffusion 552 554
Diffusion process 484 611 713-726
Diffusion process, definition 714-715
Diffusion process, drift and diffusion coefficients 715
Diffusion process, evolution of moments 719-720
Diffusion process, infinitesimal increment 718
Diffusion process, non-differentiability 715
Diffusion process, stationary distribution 716
Diffusion process, vector-valued 722-723
Diffusivity, molecular 21
Diffusivity, turbulent see Turbulent diffusivity
Dilatation 15 18
Dimensional analysis 399
Dimotakis, R E. 5 142 165 174 180
Dirac delta function see Delta function
Direct numerical simulation see DNS
Direction cosines 645
Discrete Fourier Transform 345 571 692-695
Discrete Fourier transform, definition 692 695
Discrete Fourier transform, inverse 695
Discrete Fourier transform, relation to Fourier series 693
Discrete Fourier transform, sampling frequency 694 695
dispersion 494-505
Dispersion from a line source 505 503-505
Dispersion from a point source 498-503
Dispersion, effect of molecular diffusion 495 498 504
Dispersion, Eulerian approach 495
Dispersion, implied turbulent diffusivity 500
Dispersion, Lagrangian approach 497
Dispersion, long-time square-root spreading 499
Dispersion, relation to Lagrangian autocovariance 499
Dispersion, sccording to Langevin equation 500 501 501
Dispersion, short-time linear spreading 499
Dispersion, Taylor’s stochastic model 503
Displacement thickness 299 302 303
Dissipation 124 127-128 budget)
Dissipation at wall 285 287 287 436
Dissipation equation see Dissipation model
Dissipation in isotropic turbulence 134
Dissipation of residual kinetic energy 586
Dissipation range 186 187 188 231 234-238 251 349 351 594
Dissipation spectrum see Spectrum
Dissipation tensor 315 318 318 436-39 budget)
Dissipation tensor, anisotropic model 438 437-438
Dissipation tensor, at wall 320
Dissipation tensor, conditional 467 706
Dissipation tensor, isotropic model 388
Dissipation tensor, near wall 437 438
Dissipation, cumulative 236 237 238
Dissipation, instantaneous 259
Dissipation, log-normal distribution 261 262
Dissipation, model transport equation 375-382 432-33
Dissipation, model transport equation, in final period 376
Dissipation, model transport equation, modifications 382 432
Dissipation, model transport equation, near wall 436
Dissipation, numerical 632
Dissipation, range see Dissipation range
Dissipation, relation to mixing length 370
Dissipation, relation to pseudo-dissipation 132-133
Dissipation, relation to spectrum 216 219 221 222
Dissipation, relation to Taylor microscale 199
Dissipation, scaling 127
Dissipation, spectrum see Spectrum dissipation
Dissipation, tensor see Dissipation tensor
Dissipative heating 128
Distance from wall 386 438 445
Divergence theorem 653; see also Gauss’s theorem
DNS 336 344-357
DNS, backward-facing step 355 356
DNS, channel flow 353-354
DNS, channel flow, grid spacing 354
DNS, channel flow, number of modes 354
DNS, computational cost 349 350 346-351 355 356 356
DNS, computational cost, dependence on Reynolds number 348 350 354
DNS, computational cost, for different scales 349 351
DNS, forcing 352
DNS, free shear flows 354
DNS, homogeneous turbulence 344-353
DNS, homogeneous turbulence, box size 346 347
DNS, homogeneous turbulence, grid spacing 347
DNS, homogeneous turbulence, high-wavenumber resolution 346
DNS, homogeneous turbulence, low-wavenumber resolution 346 347
DNS, homogeneous turbulence, number of modes 347 348 349
DNS, homogeneous turbulent shear flow 346
DNS, time step 348 350
Domaradzki, J. A. 217 255
Doolen, G. D. 352
Dopazo, C. 545 547 554 555 704
Dot product 645 651
Double-delta-function PDF 51 52 52 549
Dowling, D. R. 165 166 174
Drag reduction 323 332
Dreeben, T. D. 445 447 530-534 537 538 540
Driver, D. M. 356
Durbin, P. A. 427 430 432 434 436 445 447 448 461 469 490 492
Durst, F. 81 355
Dynamic model 619-627 634 635
Dynamic model, application to channel flow 623-625
Dynamic model, clipping 624
Dynamic model, in laminar flow 623
Dynamic model, Lagrangian 625-626
Dynamic model, localized 625
| Dynamic model, near-wall variation of residual stress tensor 624
Dynamic model, physical basis 626-627
Dynamic model, scale-dependent 627
Dynamic model, Smagorinsky coefficient 622-623
Dynamic procedure 628 630
Dynamical models 331
Eastwood, J. W. 516
Eckelmann, H. 325
Eddy 183
Eddy viscosity see Turbulent viscosity
Eddy viscosity, residual see Residual eddy viscosity
Eddy, characteristic scales 183 187
Effective diffusivity 93
Effective viscosity 93
Ejection 323 324 324 325
El Tahry, S. H. 506
Elliptic relaxation,  model 447
Elliptic relaxation, PDF method 537
Elliptic relaxation, Reynolds-stress model 445-447
Energy budget see Turbulent kinetic energy
Energy cascade 188 182-188 249-254
Energy cascade, timescale 252
Energy-containing range 187 187 188 231 240 249 351
Energy-spectrum function 78 188-189 221-223 229 see
Energy-spectrum function, balance equation 251 250-252
Energy-spectrum function, filtered 576
Energy-spectrum function, model 232 233
Energy-spectrum function, relation to dissipation 222
Energy-spectrum function, relation to kinetic energy 222
Energy-spectrum function, relation to one-dimensional spectra 226-228
Energy-transfer rate 185 187 188 217 251 250-253 255
Energy-transfer rate, models 253
Ensemble average 61 79 80 82
Enstrophy 23 30
Entrainment 102 143 145 170 171 171 380 509 513
Equilibrium range see Universal equilibrium range
Erd lyi, A. 680
Escudier, M. P. 308
Estimation of means 80 523-525 598 602
Eswaran, V. 549 550
Eubank, R. L. 525
Euler equations 17 27
Eulerian approach 12
Eulerian approach, dispersion 495
Eulerian approach, PDF methods 479 479
Eulerian fields 12
Expectation 41
Exponential distribution 44 45
Fabris, G. 162 163
Falco, R. E. 327
Fatica, M. 577
Ferziger, J. H. 346 382 602 603 628 629 635 638 639
FFT 345 692 695
Fiedler, H. E. 98 99 108-110 140 172 173 177 321 510
Filter 563 (see also Filtering)
Filter width of anisotropic filters 576
Filter width, effective for double filtering 620
Filter width, ratio 623
Filter, anisotropic 576
Filter, band-pass 620 621 621
Filter, box 563 564 576
Filter, Cauchy 580 591
Filter, cell average 576
Filter, functions, table of 563
Filter, Gaussian 563 564 576 580
Filter, Gaussian inversion 616
Filter, grid 619
Filter, homogeneous 562
Filter, implicit numerical 631-634
Filter, isotropic 576
Filter, moments 567
Filter, non-iiniform 577
Filter, normalization condition 561
Filter, Pao 580 591
Filter, projection 567 568
Filter, sharp spectral 563 564 566 576 580 605
Filter, sharp spectral, width 572
Filter, Smagorinsky 590-594
Filter, test 619
Filter, transfer function 565 565 590 592
Filter, transfer function, table of 563
Filtered density function 584 630 631
Filtered spectrum see Spectrum
Filtered velocity 558 564
Filtered velocity from DNS 613 613
Filtered velocity near-wall variation 600
Filtered velocity, conservation equations 581-582
Filtered velocity, Fourier series 605
Filtered velocity, kinetic energy 585
Filtered velocity, Taylor-series approximation 596
Filtered, residual 562 564 565 567
Filtering 558 561-578
Filtering for channel flow 577
Filtering in one dimension 562-575
Filtering in three dimensions 575-578
Filtering in three dimensions with one- and two-dimensional filters 578
Filtering near boundaries 577
Filtering, commutation with differentiation 562
Filtering, commutation with mean 562
Filtering, definition of filtered velocity 561
Filtering, discrete implementation 577
Filtering, double 567 619-621
Final period of decay 160 205 213
Final period of decay, dissipation equation 376
Fischer, H. B. 494
Flannery, W. S. 383
Flatness see Kurtosis
Flight time 130
flops 339 340
Fluctuating velocity 83
Fluctuating velocity, continuity equation 83
Fluctuating velocity, momentum conservation equation 126
Fluctuating velocity, PDF see PDF of fluctuating velocity
Fluctuation 41
Fluid particle 12
Fluid particle, acceleration 14 16
Fluid particle, path 13
Fluid particle, PDF see PDF Lagrangian
Fluid particle, position 12 481
Fluid particle, trajectory 12 496
Fluid particle, velocity 14 481
Fluid system 516 518
Fokker — Planck equation 484 485 716
Fokker — Planck equation for particle system 519
Fokker — Planck equation for vector-valued process 723
Fokker — Planck equation from GLM 491
Fokker — Planck equation from GLM with viscous transport 536
Fokker — Planck equation, solution for OU process 720
Fokker — Planck equation, stationary solution 716
Forcing 352 484
Forward scatter 610 611
Foster, I. 340
Fourier coefficients 684
Fourier coefficients of pressure 213
Fourier coefficients of random process 686
Fourier coefficients of two-point velocity correlation 215
Fourier coefficients of velocity 210
Fourier coefficients of velocity, covariance 215 217
Fourier coefficients of velocity, evolution equation 214
Fourier coefficients of velocity, kinetic energy 216
Fourier coefficients of vorticity 211
Fourier coefficients, conjugate symmetry 209 210 684
Fourier coefficients, covariance 688
Fourier coefficients, operator 209 685
Fourier modes 77 208 209 684
Fourier modes, amplitude 685
Fourier modes, orthonormality 208
Fourier modes, phase 685
Fourier modes, time-dependent 407 407-408
Fourier series 684
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