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Analyse mathématique et numérique de certains modèles de viscosité turbulente

Abstract : The understanding of turbulent phenomena represents one of the major present problems. Even if the equations which describe these phenomena are well-known (the Navier-Stokes equations), their analytical or numerical resolution is limited to flows in simple geometries and for weak Reynolds numbers. Large Eddy Simulation (LES) is well adapted for the prediction of turbulent flows, without demanding too expensive computational resources. This method consists in computing the large eddies of a turbulent flow, the influence of small ones being taken into account via a turbulence model. Three main objectives determined the orientation of this work: the theoretical study of the Smagorinsky model, the development of subgrid-scale models and the numerical study of the behaviour of some subgrid scale models on two test-problems: the reconnection of perturbed anti-parallel vortex tubes and the isotropic homogeneous turbulence. Based on theoretical results of P. Constantin and Ch. Fefferman, we are interested on a selective variant of the Smagorinsky model and an anisotropic model. We evaluate the strengths and the weaknesses of those models by comparisons with results obtained by direct numerical simulations or using other models (such as the classical Smagorinsky model and a differential type model).
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Contributor : Thèses Imag <>
Submitted on : Wednesday, February 4, 2004 - 9:56:39 AM
Last modification on : Wednesday, March 10, 2021 - 1:50:03 PM
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  • HAL Id : tel-00004466, version 1



Delia Jiroveanu. Analyse mathématique et numérique de certains modèles de viscosité turbulente. Modélisation et simulation. Université Joseph-Fourier - Grenoble I, 2002. Français. ⟨tel-00004466⟩



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