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Turbulence in Fluids

Stochastic and Numerical Modelling

  • Book
  • © 1990

Overview

Authors:
  1. Marcel Lesieur

    1. National Polytechnic Institute, School of Hydraulics and Mechanics, Grenoble, France

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Part of the book series: Fluid Mechanics and Its Applications (FMIA, volume 1)

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Table of contents (13 chapters)

  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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Keywords

About this book

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.

Authors and Affiliations

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

    Marcel Lesieur

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