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Titlebook: New trends in turbulence. Turbulence: nouveaux aspects; Les Houches Session M. Lesieur,A. Yaglom,F. David Book 2001 Springer-Verlag Berlin

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Large-Eddy Simulations of Turbulence,ative scale . .. It is well known from the statistical theory of turbulence that . ./. . scales like . . ., where . . is the large-scale Reynolds number .’. ./. based upon the rms velocity fluctuation .. Therefore, the total number of degrees of freedom necessary to represent the whole span of scale
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Statistical Turbulence Modelling for the Computation of Physically Complex Flows, model used often dictate the method’s predictive accuracy and breadth of applicability. While Large Eddy Simulation is beginning to be applied to practical flows, modelling will continue to be the dominant approach for complex industrial applications for many years to come. This article discusses t
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The Topology of Turbulence,ondissipative) circumstances, are constant in time, . invariants of the flow. The simplest example occurs for two-dimensional incompressible inviscid flow for which the vorticity field . satisfies the equation . Here . = .,0) is the velocity field with .. Equation (1.1) tells us that the vorticity a
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Burgulence,tisfied if . = 1. The word “burgulence”, as we use it here, is a contraction of “Burgers” and “turbulence”. It means “the study of random solutions to the Burgers equation”. The randomness may arise because random initial conditions . . = - ∇ψ. are given or because a random driving force . = - ∇. is
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Two-Dimensional Turbulence, possible, and the problem is still worse for two-dimensional (2D) turbulence. It can be said that turbulence is a flow which is disordered in time and space. The following properties more precisely characterize turbulence, see for instance Lesieur [.].
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Analysing and Computing Turbulent Flows Using Wavelets,re nonlinear instabilities are dominant. The wavelet-based techniques we have been developing during the last decade are explained and the main results are presented. After introducing the continuous and discrete wavelet transforms we present classical and wavelet-based statistical diagnostics to st
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Lagrangian Description of Turbulence,tistical integrals of motion for systems far from equilibrium. We present the description of turbulence from a Lagrangian viewpoint that is based on the motion of fluid particles. Section 1 describes the statistics of one, two and many-particle configurations. Section 2 describes the statistics of t
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0924-8099 o recent progress on the computational and experimental leveThe 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 or
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