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Statistical Turbulence Modelling For Fluid Dynamics - Demystified: An Introductory Text For Graduate Engineering Students [Pehme köide]

(Imperial College London, Uk)
  • Formaat: Paperback / softback, 424 pages
  • Ilmumisaeg: 06-Oct-2015
  • Kirjastus: Imperial College Press
  • ISBN-10: 1783266619
  • ISBN-13: 9781783266616
Teised raamatud teemal:
  • Formaat: Paperback / softback, 424 pages
  • Ilmumisaeg: 06-Oct-2015
  • Kirjastus: Imperial College Press
  • ISBN-10: 1783266619
  • ISBN-13: 9781783266616
Teised raamatud teemal:
This book is intended for self-study or as a companion of lectures delivered to post-graduate students on the subject of the computational prediction of complex turbulent flows. There are several books in the extensive literature on turbulence that deal, in statistical terms, with the phenomenon itself, as well its many manifestations in the context of fluid dynamics. Statistical Turbulence Modelling for Fluid Dynamics — Demystified differs from these and focuses on the physical interpretation of a broad range of mathematical models used to represent the time-averaged effects of turbulence in computational prediction schemes for fluid flow and related transport processes in engineering and the natural environment. It dispenses with complex mathematical manipulations and instead gives physical and phenomenological explanations. This approach allows students to gain a 'feel' for the physical fabric represented by the mathematical structure that describes the effects of turbulence and the models embedded in most of the software currently used in practical fluid-flow predictions, thus counteracting the ill-informed black-box approach to turbulence modelling. This is done by taking readers through the physical arguments underpinning exact concepts, the rationale of approximations of processes that cannot be retained in their exact form, and essential calibration steps to which the resulting models are subjected by reference to theoretically established behaviour of, and experimental data for, key canonical flows.
Foreword: What is this Book About, and for Whom? vii
1 Statistical Viewpoint of Turbulence --- Motivation and Rationale
1(6)
2 What Makes Turbulence Tick?
7(26)
2.1 Eddies, vortices and their scales
7(13)
2.2 A semblance of order and organisation
20(5)
2.3 Forcing turbulence --- a first look
25(5)
2.4 Summary and lessons
30(3)
3 Reynolds-Averaging
33(16)
3.1 Decomposition and time-integration
33(4)
3.2 The Reynolds-averaged Navier--Stokes (RANS) equations for steady flow
37(2)
3.3 The Reynolds-averaged Navier--Stokes equations for unsteady flow (URANS)
39(6)
3.4 Spatial averaging and statistical homogeneity
45(1)
3.5 Summary and lessons
46(3)
4 Fundamentals of Stress/Strain Interactions
49(16)
4.1 A rational framework for describing the Reynolds stresses
50(4)
4.2 The case of simple shear
54(3)
4.3 Manifestations of stress anisotropy
57(4)
4.4 Summary and lessons
61(4)
5 Fundamentals of Near-Wall Interaction
65(14)
5.1 Turbulence in the viscous sublayer
66(5)
5.2 Turbulence processes in the `buffer layer'
71(2)
5.3 The velocity distribution in the near-wall region
73(3)
5.4 Summary and lessons
76(3)
6 Fundamentals of Scalar-Flux/Scalar-Gradient Interactions
79(8)
6.1 The exact equations for the turbulent fluxes
80(1)
6.2 Some key interactions
81(5)
6.3 Summary and lessons
86(1)
7 The Eddy Viscosity
87(28)
7.1 Conceptual foundation
87(5)
7.2 Quantification of the eddy viscosity --- a first attempt
92(5)
7.3 The turbulent-velocity scale
97(5)
7.4 The turbulent length scale
102(8)
7.5 Length-scale transport
110(3)
7.6 Summary and lessons
113(2)
8 One-Equation Eddy-Viscosity Models
115(20)
8.1 Introductory comments
115(2)
8.2 Turbulence-energy-based models
117(5)
8.2.1 The Wolfshtein (1969) model
118(2)
8.2.2 The Norris--Reynolds (1975) model
120(2)
8.3 Eddy-viscosity-transport models
122(10)
8.3.1 The Spalart--Allmaras (1992) model
123(5)
8.3.2 Models combining the k- and ε-equations
128(4)
8.4 Summary and lessons
132(3)
9 Two-Equation Models
135(46)
9.1 Options for length-scale surrogates
135(2)
9.2 The basic k --- ε model
137(12)
9.3 Low-Reynolds-number k --- ε-model extensions
149(12)
9.3.1 The Lam--Bremhorst (1981), Chien (1982) and Launder--Sharma (1974) models
155(4)
9.3.2 The Lien--Leschziner model (1994, 1996)
159(2)
9.4 Alternative k --- φ models
161(15)
9.4.1 The basic k --- ω model
164(5)
9.4.2 Low-Reynolds-number k --- ω-model extensions
169(3)
9.4.3 Hybrid k --- ω/k --- ε modelling --- the SST model
172(4)
9.5 Reductions of two-equation models to one-equation forms
176(3)
9.6 Summary and lessons
179(2)
10 Wall Functions for Linear Eddy-Viscosity Models
181(18)
10.1 The purpose of `wall functions'
181(1)
10.2 Log-law-based wall functions
182(7)
10.3 Eddy-viscosity-based wall functions
189(2)
10.4 Numerical wall functions
191(2)
10.5 More general wall functions
193(2)
10.6 Wall functions for heat transfer
195(1)
10.7 Summary and lessons
196(3)
11 Defects of Linear Eddy-Viscosity Models, Their Sources and (Imperfect) Corrections
199(9)
11.1 The need for corrections
199(3)
11.2 Readability
202(6)
11.3 Curvature
208(19)
11.4 Swirl
214(3)
11.5 Rotation
217(2)
11.6 Body forces --- buoyancy
219(4)
11.7 Length-scale corrections
223(2)
11.8 Summary and lessons
225(2)
12 Reynolds-Stress-Transport Modelling
227(76)
12.1 Rationale and motivation
227(4)
12.2 The exact Reynolds-stress equations
231(3)
12.3 Closure --- some basic rules
234(1)
12.4 Realisability and its implications for modelling
235(4)
12.5 Turbulent transport
239(5)
12.6 Dissipation
244(13)
12.7 Pressure-velocity interaction
257(42)
12.7.1 Basic considerations
257(5)
12.7.2 Modelling of the slow term Φij,1
262(3)
12.7.3 Modelling of the rapid term Φij,2
265(10)
12.7.4 Modelling Φij,1 + Φij,2 collectively
275(5)
12.7.5 Near-wall effects
280(10)
12.7.6 Effects of body forces
290(1)
12.7.7 Elliptic relaxation of pressure-strain correlation
291(8)
12.8 Summary and lessons
299(4)
13 Scalar/Heat-Flux-Transport Modelling
303(12)
13.1 The case for flux-transport closure
303(5)
13.2 Closure of the flux-transport equations
308(4)
13.3 Summary and lessons
312(3)
14 The υ2 - f Model
315(12)
14.1 Relationship to second-moment closure and elliptic relaxation
315(2)
14.2 υ2 - f model formulation and variants
317(9)
14.3 Summary and lessons
326(1)
15 Algebraic Reynolds-Stress and Non-Linear Eddy-Viscosity Models
327(52)
15.1 Rationale and motivation
327(5)
15.2 Explicit algebraic Reynolds-stress models (EARSMs)
332(21)
15.2.1 General formalism
334(4)
15.2.2 The model of Pope (1975)
338(1)
15.2.3 The model of Gatski and Speziale (1993)
339(3)
15.2.4 The model of Wallin and Johansson (2000)
342(6)
15.2.5 Near-wall behaviour
348(4)
15.2.6 Scale-governing equations
352(1)
15.3 Approximations to rigorous EARSMs
353(13)
15.3.1 The Model of Abe et al. (1997, 2003)
354(5)
15.3.2 The Model of Apsley and Leschziner (1998)
359(7)
15.4 Non-linear eddy-viscosity models (NLEVMs)
366(10)
15.4.1 The model of Shih et al. (1995)
367(2)
15.4.2 The model of Craft et al. (1996)
369(7)
15.5 Summary and lessons
376(3)
Appendix: Basic Tensor Algebra and Rules 379(4)
References 383(14)
Index 397