Turbulence in Fluids

1. Front Matter

   Pages i-xv

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2. Introduction to Turbulence in Fluid Mechanics

   • Marcel Lesieur

   Pages 1-18

3. Basic Fluid Dynamics

   • Marcel Lesieur

   Pages 19-48

4. Transition to Turbulence

   • Marcel Lesieur

   Pages 49-88

5. The Fourier Space

   • Marcel Lesieur

   Pages 89-99

6. Kinematics of Homogeneous Turbulence

   • Marcel Lesieur

   Pages 101-117

7. Phenomenological Theories

   • Marcel Lesieur

   Pages 119-159

8. Analytical Theories And Stochastic Models

   • Marcel Lesieur

   Pages 161-204

9. Diffusion of Passive Scalars

   • Marcel Lesieur

   Pages 205-241

10. Two-Dimensional and Quasi-Geostrophic Turbulence

    • Marcel Lesieur

    Pages 243-293

11. Absolute Equilibrium Ensembles

    • Marcel Lesieur

    Pages 295-304

12. The Statistical Predictability Theory

    • Marcel Lesieur

    Pages 305-315

13. Large Eddy Simulations

    • Marcel Lesieur

    Pages 317-336

14. Towards “Real World Turbulence”

    • Marcel Lesieur

    Pages 337-366

15. Back Matter

    Pages 367-412

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Turbulence is a dangerous topic which is often at the origin of serious fights in the scientific meetings devoted to it since it represents extremely different points of view, all of which have in common their complexity, as well as an inability to solve the problem. It is even difficult to agree on what exactly is the problem to be solved. Extremely schematically, two opposing points of view have been advocated during these last ten years: the first one is "statistical", and tries to model the evolution of averaged quantities of the flow. This com­ has followed the glorious trail of Taylor and Kolmogorov, munity, which believes in the phenomenology of cascades, and strongly disputes the possibility of any coherence or order associated to turbulence. On the other bank of the river stands the "coherence among chaos" community, which considers turbulence from a purely deterministic po­ int of view, by studying either the behaviour of dynamical systems, or the stability of flows in various situations. To this community are also associated the experimentalists who seek to identify coherent structures in shear flows.

• turbulence

• National Polytechnic Institute, School of Hydraulics and Mechanics, Grenoble, France

  Marcel Lesieur

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