Turbulence in Fluids

1. Front Matter

   Pages i-xxxviii

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2. Introduction to Turbulence in Fluid Mechanics

   Pages 1-23

3. Basic Fluid Dynamics

   Pages 25-72

4. Transition to Turbulence

   Pages 73-119

5. Shear Flow Turbulence

   Pages 121-154

6. Fourier Analysis of Homogeneous Turbulence

   Pages 155-185

7. Isotropic Turbulence: Phenomenology and Simulations

   Pages 187-235

8. Analytical Theories and Stochastic Models

   Pages 237-310

9. Two-Dimensional Turbulence

   Pages 311-348

10. Beyond Two-Dimensional Turbulence in GFD

    Pages 349-392

11. Statistical Thermodynamics of Turbulence

    Pages 393-402

12. Statistical Predictability Theory

    Pages 403-418

13. Large-Eddy Simulations

    Pages 419-453

14. Towards “Real World Turbulence”

    Pages 455-507

15. Back Matter

    Pages 509-563

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Turbulence is a dangerous topic which is often at the origin of serious ?ghts in the scienti?c meetings devoted to it since it represents extremely di?erent points of view, all of which have in common their complexity, as well as an inability to solve the problem. It is even di?cult to agree on what exactly is the problem to be solved. Extremely schematically, two opposing points of view had been adv- ated during these last thirty years: the ?rst one was “statistical”, and tried to model the evolution of averaged quantities of the ?ow. This community, which had followed the glorious trail of Taylor and Kolmogorov, believed in the phenomenology of cascades, and strongly disputed the possibility of any coherence or order associated to turbulence. On the other bank of the river standed the “coherence among chaos” community, which considered turbulence from a purely deterministic point of view, by studying either the behaviour of dynamical systems, or the stability of ?ows in various situations. To this community were also associated the experimentalists and computer simulators who sought to identify coherent vortices in ?ows. Situation is more complex now, and the existence of these two camps is less clear. In fact a third point of view pushed by people from the physics community has emerged, with the concepts of renormalization group theory, multifractality, mixing, and Lagrangian approaches.

• Analysis
• Large Eddy Simulation
• computer-aided design (CAD)
• fluid dynamics
• fluid mechanics
• mechanics
• simulation
• fluid- and aerodynamics

From the reviews of the fourth edition:

"Turbulence in Fluids contains a wealth of information, and its author is a top-tier scientist. … The book is logically ordered and contains a comprehensive list of 738 references. … Lesieur’s monograph is recommended for those who already know quite a bit about turbulence, for the theoretically inclined, and in particular for those interested in homogeneous turbulence and geophysical flows and their numerical simulation." (Mohamed Gad-El-Hak, Siam Review, Vol. 51 (1), 2009)

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