New trends in turbulence. Turbulence: nouveaux aspects

1. Front Matter

   Pages i-xxxvii

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2. The Century of Turbulence Theory: The Main Achievements and Unsolved Problems

   • A. Yaglom

   Pages 1-52

3. Measures of Anisotropy and the Universal Properties of Turbulence

   • S. Kurien, K. R. Sreenivasan

   Pages 53-111

4. Large-Eddy Simulations of Turbulence

   • O. Métais

   Pages 113-186

5. Statistical Turbulence Modelling for the Computation of Physically Complex Flows

   • M. A. Leschziner

   Pages 187-258

6. Computational Aeroacoustics

   • R. Mankbadi

   Pages 259-317

7. The Topology of Turbulence

   • H. K. Moffatt

   Pages 319-340

8. Burgulence

   • U. Frisch, J. Bec

   Pages 341-383

9. Two-Dimensional Turbulence

   • J. Sommeria

   Pages 385-447

10. Analysing and Computing Turbulent Flows Using Wavelets

    • M. Farge, K. Schneider

    Pages 449-504

11. Lagrangian Description of Turbulence

    • G. Falkovich, K. Gawedzki, M. Vergassola

    Pages 505-554

The phenomenon of turbulence in fluid mechanics has been known for many centuries. Indeed, it was for instance discussed by the Latin poet Lucretius who described in "de natura rerum" how a small perturbation ("clinamen") could be at the origin of the development of a turbulent order in an initially laminar river made of randomly agitated atoms. More recently, Leonardo da Vinci drew vortices. Analogous vortices were sketched by the Japonese school of artists called Utagawa in the 19th century, which certainly influenced van Gogh in "The Starry Night". However, and notwithstanding decisive contributions made by Benard, Reynolds, Prandtl, von Karman, Richardson and Kolmogorov, the problem is still wide open: there is no exact derivation of the famous so called Kolmogorov k 5'3 cascade towards small scales, nor of the value of the transitional Reynolds number for turbulence in a pipe. Besides these fundamental aspects, turbulence is associated with essential practical questions in hydraulics, aerodynamics (drag reduction for cars, trains and planes), combustion (improvement of engine efficiency and pollution reduction), acoustics (the reduction of turbulence induced noise is an essential issue for plane reactors), environmental and climate studies (remember the huge damage caused by severe storms in Europe at the end of 1999), and astrophysics (Jupiter's Great Red Spot and solar granulation are manifestations of turbulence). Therefore, there is an urgent need to develop models that allow us to predict and control turbulence effects.

• Aeroacoustics
• Burger's Equation
• Large-Eddy Simulations
• Mixing
• Rotating Flows
• Turbulence
• Wavelet
• Wavelet Techniques
• convection
• fluid dynamics
• modeling
• simulation

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