Turbulence in Fluids: Stochastic and Numerical Modelling

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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.

Author(s): Marcel Lesieur (auth.)
Series: Fluid Mechanics and Its Applications 1
Edition: 2
Publisher: Springer Netherlands
Year: 1990

Language: English
Pages: 412
Tags: Engineering Fluid Dynamics;Mechanics;Automotive Engineering;Appl.Mathematics/Computational Methods of Engineering

Front Matter....Pages i-xv
Introduction to Turbulence in Fluid Mechanics....Pages 1-18
Basic Fluid Dynamics....Pages 19-48
Transition to Turbulence....Pages 49-88
The Fourier Space....Pages 89-99
Kinematics of Homogeneous Turbulence....Pages 101-117
Phenomenological Theories....Pages 119-159
Analytical Theories And Stochastic Models....Pages 161-204
Diffusion of Passive Scalars....Pages 205-241
Two-Dimensional and Quasi-Geostrophic Turbulence....Pages 243-293
Absolute Equilibrium Ensembles....Pages 295-304
The Statistical Predictability Theory....Pages 305-315
Large Eddy Simulations....Pages 317-336
Towards “Real World Turbulence”....Pages 337-366
Back Matter....Pages 367-412