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Fox R.O. — Computational Models for Turbulent Reacting Flows
Fox R.O. — Computational Models for Turbulent Reacting Flows



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Íàçâàíèå: Computational Models for Turbulent Reacting Flows

Àâòîð: Fox R.O.

Àííîòàöèÿ:

This survey of the current state of the art in computational models for turbulent reacting flows carefully analyzes the strengths and weaknesses of the various techniques described. Rodney Fox focuses on the formulation of practical models as opposed to numerical issues arising from their solution. He develops a theoretical framework based on the one-point, one-time joint probability density function (PDF). The study reveals that all commonly employed models for turbulent reacting flows can be formulated in terms of the joint PDF of the chemical species and enthalpy.


ßçûê: en

Ðóáðèêà: Ôèçèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Èçäàíèå: 1st edition

Ãîä èçäàíèÿ: 2003

Êîëè÷åñòâî ñòðàíèö: 419

Äîáàâëåíà â êàòàëîã: 09.08.2009

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
Scalar correlation, differential diffusion      96 137
Scalar covariance      70 71 90—92 94 96—98 135 136 151 154—156 174 176 179 180 217 219—221 243 251 264 265 267 276—278 280 283 285 325 326 364 381—383
Scalar covariance, chemical source term      90 95 156
Scalar covariance, conditional      208
Scalar covariance, covariance-production term      90 137
Scalar covariance, eigenvector transformation      220
Scalar covariance, joint scalar dissipation rate      90
Scalar covariance, spatial-transport terms      90
Scalar covariance, spectrum      72 363—365
Scalar covariance, transport equation      90 156
Scalar covariance, transport equation, derivation      90—91
Scalar covariance, transport equation, model      135—139
Scalar dissipation rate      86—89 225 228
Scalar dissipation rate in CMC      212
Scalar dissipation rate in flamelet model      201
Scalar dissipation rate in LSR model      322—325
Scalar dissipation rate in multi-environment presumed PDF models      223
Scalar dissipation rate in SR model      367—371
Scalar dissipation rate, conditioned on scalar      23 24 69 204 212—214 236 285
Scalar dissipation rate, conditioned on turbulence frequency      287 322
Scalar dissipation rate, definition      71 85 86
Scalar dissipation rate, equilibrium model      88 126
Scalar dissipation rate, fluctuating      86 205 242
Scalar dissipation rate, non-equilibrium models      127—135
Scalar dissipation rate, Re, Sc, and Da dependence      272
Scalar dissipation rate, relationship to conditional diffusion      275
Scalar dissipation rate, relationship to micromixing time      14—15 62 200
Scalar dissipation rate, relationship to scalar energy spectrum      72
Scalar dissipation rate, relationship to scalar length-scale distribution      240 264 265 271
Scalar dissipation rate, relationship to scalar spectral energy transfer rate      15 62 79 80 89
Scalar dissipation rate, relationship to scalar variance      23
Scalar dissipation rate, spectral model      79 88 89
Scalar dissipation rate, transport equation      86 126—127
Scalar dissipation rate, transport equation, derivation      86
Scalar dissipation rate, transport equation, model      126—127
Scalar flux      18 46 47 71 82—85 89 90 96 97 104 121 125 215 219 226 243 244 251 252 258 275 325 340 354 360
Scalar flux in scalar mean transport equation      81
Scalar flux, conditioning on velocity      263
Scalar flux, consistent models      254 258 259
Scalar flux, Da dependence      152
Scalar flux, definition      44 81
Scalar flux, gradient-diffusion model      85 121—122
Scalar flux, molecular transport term      83
Scalar flux, pressure-diffusion term      83
Scalar flux, pressure-scalar-gradient term      83
Scalar flux, pressure-scrambling term      83 259
Scalar flux, production term      83
Scalar flux, reacting scalars      84
Scalar flux, residual      108
Scalar flux, scalar-flux dissipation      84
Scalar flux, transport equation      83 123—125
Scalar flux, transport equation, derivation      82—84
Scalar flux, transport equation, model      123—125
Scalar mean      7 9 14 18 57 65 66 81—82 89 96 125 151 179 180 208 213 214 262 265 267 379 382
Scalar mean, conditional      207 208 211—213 377
Scalar mean, estimated      301 331
Scalar mean, location-conditioned      297
Scalar mean, transport equation      81 120
Scalar mean, transport equation, derivation      81—82
Scalar mean, transport equation, model      120
Scalar variance      7 14 18 65 67 69 71 84—86 89 155 197 200 223 225—227 242 265 271 378 379
Scalar variance in LSR model      325
Scalar variance in scalar dissipation range      88
Scalar variance in SR model      127 130 131 134 136 364
Scalar variance, conditional      324 325
Scalar variance, definition      15 65
Scalar variance, intensity of segregation      66
Scalar variance, relationship to micromixing time      15 62
Scalar variance, relationship to scalar energy spectrum      71 72
Scalar variance, relationship to Taylor microscale      70
Scalar variance, residual      109
Scalar variance, scalar dissipation rate      85
Scalar variance, scalar variance flux      85
Scalar variance, scalar-variance-production term      85
Scalar variance, transport equation      85 125—126
Scalar variance, transport equation, derivation      84—86
Scalar variance, transport equation, model      125
Scalar vectors, conserved-constant      159 160 171
Scalar vectors, conserved-scalar      148 149 158
Scalar vectors, conserved-variable      159—162 166 168 171 172
Scalar vectors, mixture-fraction      141 156 157 161—179 181 183 193 201 207 211 212 216 221 222 232—234 282—284
Scalar vectors, reacting-scalar      148 149 156
Scalar vectors, reaction-progress      156 166 167 171 207 209 212 214 221 233 284 286
Scalar-conditioned velocity fluctuations      250—251
Scalar-to-velocity length-scale ratio      61 77
Schmidt number, molecular      57
Schmidt number, SGS      109
Schmidt number, turbulent      122
Schmidt number, two scalars      94 135
SGS fields      see "LES residual"
Simple chemistry      148 180—193 209 216
Simple chemistry, competitive-consecutive reactions      184—188
Simple chemistry, one-step reaction      182—184
Simple chemistry, parallel reactions      189—193
Simple chemistry, reaction-progress variables      181—182
Singular value decomposition      145 147 148 150 151 157 159 161 169 170 172 315
Singular value decomposition, definition      147
Singular value decomposition, orthogonal matrices      147
Singular value decomposition, singular values      147
SLM      see "Conditional acceleration models"
Spectral transport      41—43 78—80 118 272 367
Spectral transport, scalar      78—80
Spectral transport, scalar, cospectral transfer function      78
Spectral transport, scalar, relationship to scalar dissipation rate      79
Spectral transport, scalar, spectral energy transfer rates      79
Spectral transport, scalar, spectral transfer function      78
Spectral transport, scalar, transport equation      363—365
Spectral transport, velocity      41—43
Spectral transport, velocity, characteristic time scale      42
Spectral transport, velocity, relationship to turbulent dissipation rate      42
Spectral transport, velocity, spectral energy transfer rate      42
Spectral transport, velocity, spectral transfer function      41
SR model      127—135
SR model, derivation      365—371
SR model, differential diffusion      135
SR model, multi-variate      135—139
SR model, multi-variate, covariance      136
SR model, multi-variate, covariance-dissipation-production term      136
SR model, multi-variate, decaying scalars      138—139
SR model, multi-variate, dissipation transfer rate      136
SR model, multi-variate, joint scalar dissipation rate      136
SR model, multi-variate, mean scalar gradients      137—138
SR model, relationship to LSR model      322
SR model, scalar dissipation rate      131
SR model, scalar energies      129
SR model, scalar variance      131
SR model, scalar-variance production      130
SR model, spectral transfer rates      132—134
SR model, wavenumber bands      129
Stochastic differential equations      251 276 278 288 298 301—304 308 329 340 355
Stochastic differential equations for notional particles      288 292—294
Stochastic differential equations in Lagrangian PDF methods      287
Stochastic differential equations, Eulerian correspondence      290 293
Stochastic differential equations, FP model      279
Stochastic differential equations, Lagrangian correspondence      293
Stochastic differential equations, numerical simulation      344
Stochastic differential equations, numerical simulation, Euler      344
Stochastic differential equations, numerical simulation, multi-step      345
Stochastic differential equations, Wiener process      279
Taylor microscales      33
Taylor microscales, scalar      70
Taylor microscales, velocity      33
Taylor microscales, velocity, longitudinal      33
Taylor microscales, velocity, transverse      33
Ternary mixing      161 see ternary
Time scales, mechanical-to-scalar time-scale ratio      76
Time scales, scalar, micromixing      7 194
Time scales, scalar, mixing      7 58 61 62 67 70 72 76 149 156 240
Time scales, scalar, recirculation      7
Time scales, turbulence      2 36
Time scales, turbulence, eddy turnover      38
Time scales, turbulence, integral      7 11 35
Time scales, turbulence, Kolmogorov      15 35
Time scales, turbulence, Taylor      35
Transport equation, composition PDF      250
Transport equation, joint scalar dissipation rate      93
Transport equation, mean pressure      48
Transport equation, mean velocity      47
Transport equation, pressure      17
Transport equation, Reynolds stresses      49
Transport equation, scalar covariance      90
Transport equation, scalar dissipation rate, inert      86
Transport equation, scalar flux, inert      83
Transport equation, scalar flux, reacting      84
Transport equation, scalar mean, inert      82
Transport equation, scalar mean, reacting      81
Transport equation, scalar variance, inert      85
Transport equation, scalar, reacting      16
Transport equation, turbulent dissipation rate      52
Transport equation, turbulent kinetic energy      51
Transport equation, velocity      16
Transport equation, velocity PDF      255
Transport equation, velocity, composition PDF      248
Transported PDF methods      14 26 44 65 67 81 83 84 91 109 125 140 233 236 239—327
Transported PDF methods, chemical source term      308—321 see
Transported PDF methods, composition PDF      244 see
Transported PDF methods, composition PDF transport equation      249—251
Transported PDF methods, higher-order models      321—327 see
Transported PDF methods, Lagrangian      287—298 see
Transported PDF methods, models for conditional acceleration      254—261 see models"
Transported PDF methods, models for conditional diffusion      261—287 see models"
Transported PDF methods, overview      241—244
Transported PDF methods, particle-held estimation      298—308 see
Transported PDF methods, relationship to RANS models      252—254
Transported PDF methods, simulation codes      328—362 see
Transported PDF methods, velocity, composition PDF      242—243 see composition
Transported PDF methods, velocity, composition PDF transport equation      244—249
Transported PDF simulations      see "PDF simulation codes"
Turbulence frequency      329 331 341 346 355 356 359 361
Turbulence frequency, definition      116
Turbulence frequency, fluctuating      321
Turbulence frequency, PDF models      321—322
Turbulence frequency, PDF models, gamma-distribution      321
Turbulence frequency, PDF models, log-normal      321
Turbulence frequency, PDF models, stretched-exponential      322
Turbulence frequency, RANS model      116
Turbulence frequency, relationship to LSR model      322
Turbulence frequency, relationship to turbulence time scale      321
Turbulent diffusivity      11 61 85 201 251 331 332 337 340 361
Turbulent diffusivity in LEM      112
Turbulent diffusivity in model for scalar-conditioned velocity fluctuations      251
Turbulent diffusivity in SDE for notional-particle position      294
Turbulent diffusivity, boundary condition      347
Turbulent diffusivity, definition      122
Turbulent diffusivity, relationship to molecular diffusion      122
Turbulent diffusivity, SGS      109 238
Turbulent diffusivity, turbulent Schmidt number      122
Turbulent dissipation rate      7 15 17 18 34 35 38 41 43 51—55 70 89 197 251 272 321
Turbulent dissipation rate in Reynolds-stress models      117
Turbulent dissipation rate in two-equation RANS models      115
Turbulent dissipation rate in two-equation RANS models, derivation      51—53
Turbulent dissipation rate in two-equation RANS models, model      116
Turbulent dissipation rate, definition      38 52
Turbulent dissipation rate, fluctuating      52
Turbulent dissipation rate, relationship to spectral energy transfer rate      38 42 43
Turbulent dissipation rate, transport equation      52
Turbulent energy dissipation spectrum      see "Energy spectrum energy
Turbulent flow, statistical description      27—55
Turbulent flow, statistical description, homogeneous      27—43
Turbulent flow, statistical description, homogeneous, correlation functions      32—36
Turbulent flow, statistical description, homogeneous, energy spectra      36—43
Turbulent flow, statistical description, homogeneous, one-point PDF      29—32
Turbulent flow, statistical description, inhomogeneous transport equations      44—55
Turbulent kinetic energy      7 17 28 34 35 37 40—42 50 55 251 304 321 361
Turbulent kinetic energy in two-equation models      115
Turbulent kinetic energy, definition      37
Turbulent kinetic energy, dissipation rate      51 see
Turbulent kinetic energy, production term      51
Turbulent kinetic energy, residual      107
Turbulent kinetic energy, spatial transport      51
Turbulent kinetic energy, transport equation, derivation      51
Turbulent kinetic energy, transport equation, model      115
Turbulent mixing, statistical description      56—99
Turbulent mixing, statistical description, differential diffusion      96—99
Turbulent mixing, statistical description, homogeneous      62—80
Turbulent mixing, statistical description, homogeneous, correlation functions      69—71
Turbulent mixing, statistical description, homogeneous, energy spectra      71—80
Turbulent mixing, statistical description, homogeneous, one-point PDF      62—69
Turbulent mixing, statistical description, inhomogeneous transport equations      80—96
Turbulent mixing, statistical description, phenomenological model      56—62
Turbulent transport, models      100—140
Turbulent transport, models, differential diffusion      135—139
Turbulent transport, models, DNS      100—104
Turbulent transport, models, LEM      110—114
Turbulent transport, models, LES      104—110
Turbulent transport, models, non-equilibrium      127—135
Turbulent transport, models, RANS, scalars      120—127
Turbulent transport, models, RANS, velocity      114—120
Turbulent transport, models, transported PDF      140
Turbulent-diffusivity-based models      see "RANS models turbulent-diffusivity-based"
Turbulent-viscosity-based models      see "RANS models turbulent-viscosity-based"
Universal equilibrium range      40
VCIEM model      275 see models"
VCIEM model, Lagrangian      297
Velocity field      16
Velocity field, filtered      105
Velocity field, fluctuating      27
Velocity field, Fourier-transformed      101
Velocity field, Lagrangian      28
Velocity field, mean      17 47
Velocity field, random      27
Velocity field, residual      106
Velocity PDF      29 254—256
Velocity PDF, boundary conditions      260
Velocity PDF, conditional      31
Velocity PDF, definition      29
Velocity PDF, Gaussian      30
Velocity PDF, Lagrangian models      294—296
Velocity PDF, LES      106—108
Velocity PDF, models for conditional acceleration      256 see models"
Velocity PDF, Reynolds stresses      30
Velocity PDF, transport equation      255
Velocity PDF, two-point      32
Velocity, composition PDF      44 62—67 81 84 140 240—244 258 290 321 328 330
Velocity, composition PDF codes      354—361
Velocity, composition PDF codes, advantages and disadvantages      360
Velocity, composition PDF codes, mean conservation equations      355—356
Velocity, composition PDF codes, Monte-Carlo simulation      357—358
Velocity, composition PDF codes, notional-particle representation      356—357
Velocity, composition PDF codes, particle-held estimation and consistency      358—359
Velocity, composition PDF in DQMOM      384
Velocity, composition PDF, conditional acceleration      258 see
Velocity, composition PDF, conditional diffusion      see "Conditional diffusion"
Velocity, composition PDF, definition      62
Velocity, composition PDF, LES      109
Velocity, composition PDF, relationship to composition PDF      242 244
Velocity, composition PDF, transport equation      244—249
Velocity, wavenumber PDF models      261
Viscous-convective sub-range      75 79 80 94 127 128
Viscous-diffusive sub-range      74 80 94
Zone models      10—11
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