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Intermittence en Turbulence pleinement développée et en Dynamique non linéaire

Abstract : This thesis is divided into two parts. In the first one is studied a model of hydrodynamic turbulence which consists of a set of stochastic differential equations. At first, one presents the solutions of this system calculated in the semiclassical approximation, then those obtained through a Monte-Carlo-type method adapted to the problem, in the case where the forcing is supposed to be statistically homogeneous and isotropic. These solutions are shown to be in good agreement with results of experiments and direct numerical simulations of the Navier-Stokes equation. Subsequently, are presented the system solutions as a shear is applied to the flow.

The second part is devoted to the study of the transition to spatiotemporal chaos through intermittency in a real hydrodynamic system. First this transition is studied quantitatively, then a spatiotemporal intermittency model is applied to the experiment boundary conditions. As the real system, the solutions of this model present, for certain values of the parameters it depends on, a bistability regime near threshold between spatiotemporal intermittency and a regime in which disorder arises on the boundaries only.
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https://tel.archives-ouvertes.fr/tel-00011134
Contributor : Aurore Naso <>
Submitted on : Wednesday, November 30, 2005 - 11:14:36 AM
Last modification on : Monday, November 16, 2020 - 1:10:06 PM
Long-term archiving on: : Friday, April 2, 2010 - 10:48:15 PM

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  • HAL Id : tel-00011134, version 1

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Aurore Naso. Intermittence en Turbulence pleinement développée et en Dynamique non linéaire. Dynamique des Fluides [physics.flu-dyn]. Université Nice Sophia Antipolis, 2005. Français. ⟨tel-00011134⟩

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