Large-Eddy Simulations of Turbulence is an ideal introduction for people new to LES [large-eddy simulation], direct numerical simulation and Reynolds-averaged Navier-Stokes simulation, and as a reference for researchers. Of particular interest in the text are the detailed discussion, in Chapter 2, of vorticity, pressure, and the velocity gradient tensor, quantities useful for probing the results of a simulation, particularly when looking for coherent vortices and coherent structures. Chapters 4 and 5 feature an in-depth discussion of spectral subgrid-scale modeling. Although physical-space models are generally more readily applied, spectral models give insight into the requirements and limitations in subgrid-scale modeling and backscattering. A third special feature is the detailed discussion in Chapter 7, of large-eddy simulation of compressible flows previously only available in articles scattered throughout the literature. This will be of interest to those dealing with supersonic flows, combustion, astrophysics, and other related topics.
Author(s): M. Lesieur, O. Métais, P. Comte
Publisher: Cambridge University Press
Year: 2005
Language: English
Pages: 232
Cover......Page 1
About......Page 2
Large-Eddy Simulations of Turbulence......Page 4
0521781248......Page 5
Contents......Page 6
Preface......Page 10
1.1 Book’s scope ......Page 14
1.2 Basic principles of fluid dynamics ......Page 17
1.2.2 Balance of forces ......Page 18
1.2.3 Thermodynamic equation ......Page 19
1.2.4 Vorticity ......Page 22
1.3.1 Formalism ......Page 23
1.3.2 Kolmogorov k^{-5/3} energy spectrum......Page 25
1.3.3 Kolmogorov dissipative scale and wavenumber ......Page 26
1.3.4 Integral scale and Taylor microscale ......Page 27
1.5 A brief history of LES ......Page 28
1.6 LES and determinism ......Page 30
1.7 The place of LES in turbulence modeling ......Page 32
2.1 Vorticity dynamics ......Page 34
2.2.1 Definition ......Page 35
2.2.3 The Q-criterion ......Page 36
2.2.4 The λ_2-criterion......Page 38
2.3 Vortex identification ......Page 39
2.3.1 Isotropic turbulence ......Page 40
2.3.2 Backward-facing step ......Page 46
2.4 Coherent structures ......Page 49
2.5 Animations ......Page 50
3.1 LES equations for a flow of constant density ......Page 52
3.2 LES Boussinesq equations in a rotating frame ......Page 54
3.3 Eddy viscosity and diffusivity assumption ......Page 55
3.3.1 Smagorinsky’s model ......Page 57
3.3.2 Dynamic Smagorinsky model ......Page 59
4.1 Spectral eddy viscosity and diffusivity ......Page 63
4.2 EDQNM theory ......Page 64
4.3 EDQNM plateau-peak model ......Page 68
4.3.1 Spectral-dynamic model ......Page 71
4.3.2 Spectral random backscatter ......Page 72
4.5.1 Heisenberg’s eddy viscosity ......Page 74
4.5.2 RNG analysis ......Page 75
4.6 Anterior spectral LES of isotropic turbulence ......Page 76
4.6.1 Double filtering in Fourier space ......Page 77
4.7 EDQNM infrared backscatter and self-similarity ......Page 78
4.7.1 Finite-box size effects ......Page 87
4.8 Recent LES studies of decaying isotropic turbulence ......Page 89
4.8.1 Ultraviolet pressure ......Page 93
5.1.1 Plateau-peak model ......Page 94
5.1.2 Spectral-dynamic model ......Page 97
5.2.1 Wall units ......Page 98
5.2.3 Spectral DNS and LES ......Page 99
5.2.4 Channel pdfs ......Page 104
6.1.1 Formalism ......Page 110
6.1.3 Structure-function versus Smagorinsky models ......Page 112
6.1.5 SF model, transition, and wall flows ......Page 113
6.2.1 Formalism ......Page 114
6.3 Filtered structure-function model ......Page 115
6.4 Temporal mixing layer ......Page 116
6.5 Spatial mixing layer ......Page 117
6.6 Round jet ......Page 120
6.6.1 The natural jet ......Page 123
6.6.2 The forced jet ......Page 125
6.7 Backstep ......Page 130
6.8 New models ......Page 132
6.8.1 Dynamic structure-function model ......Page 134
6.8.2 Generalized hyperviscosities ......Page 135
6.8.3 Hyperviscosity ......Page 136
6.8.5 Other approaches ......Page 137
6.9 Animations ......Page 138
7 LES of compressible turbulence ......Page 140
7.1.1 Compressible Navier-Stokes equations ......Page 141
7.1.2 Compressible filtered equations ......Page 142
7.1.3 Compressible LES equations ......Page 145
7.2.1 Convective Mach number ......Page 147
7.2.2 Temporal mixing layer ......Page 148
7.2.3 Spatial mixing layer ......Page 153
7.2.4 Compressible round jets ......Page 156
7.3.1 LES of spatially developing boundary layers ......Page 162
7.3.2 Boundary layer on spanwise cavities ......Page 168
7.3.3 Obstacle with a wall effect ......Page 174
7.4 Drag reduction by riblets ......Page 176
7.5 Transonic flow past a rectangular cavity ......Page 180
7.6 European space shuttle Hermes......Page 181
7.7 Heat exchanges in ducts ......Page 187
7.7.1 Straight ducts of square section ......Page 188
7.7.2 Ducts with riblets ......Page 190
7.7.3 Spatially growing turbulence through a straight duct ......Page 191
7.7.4 Curved ducts of square section ......Page 194
7.8 Animations ......Page 196
8 Geophysical fluid dynamics ......Page 198
8.1.2 Earth atmosphere ......Page 199
8.1.3 Oceanic circulation ......Page 201
8.2 Effects of spanwise rotation on shear flows of constant density ......Page 203
8.2.1 Rotating channel ......Page 204
8.2.2 Rotating free-shear layers ......Page 206
8.3.1 Eady model ......Page 210
8.3.2 Baroclinic jet ......Page 211
8.4 Animations ......Page 216
Bibliography ......Page 218
