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Modélisation spectrale de la turbulence inhomogène anisotrope

Abstract : This work concerns the development of a model for anisotropic and inhomogeneous turbulence by means of a spectral statistical approach. The basic unknown of this new model is the spectrum of the Reynolds stress tensor, a quantity which depends on space and time variables as well as on the wave vector module. The theoretical base of this work was provided by A. Laporta (1995), who expanded about homogeneity the equations for the two point velocity correlations, and on the work of S. Parpais (1996) for the modelling part of the complex terms involved in this kind of approach.
In this thesis, a numerical model was proposed that can be used in complex geometries. It should be noted that this model is based on quasi-normal assumptions intended to represent the energy cascade towards the small scales and therefore does not require, like usual turbulence models, the use of a transport equation for the dissipation of the turbulent kinetic energy. The spectral information provided by this new model was used to scrutinize some properties of turbulence. The model allows to characterize situations of turbulence desequilibrium in flows such as that around an airfoil with incidence. The spectral desequilibrium is characterized by comparisons with the Kolmogorov (1941) theory leading to a distribution of energy proportional to k?5/3, for wave numbers k in the inertial range. The spectral analysis enables to propose relevant one-point quantities to highlight these non-equilibrium states, thus opening new modelling frontiers.
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Contributor : Hatem Touil <>
Submitted on : Monday, April 25, 2005 - 8:46:24 AM
Last modification on : Wednesday, July 8, 2020 - 12:42:05 PM
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  • HAL Id : tel-00009081, version 1

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Hatem Touil. Modélisation spectrale de la turbulence inhomogène anisotrope. Dynamique des Fluides [physics.flu-dyn]. Ecole Centrale de Lyon, 2002. Français. ⟨tel-00009081⟩

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