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Propriétés lagrangiennes de l'accélération turbulente des particules fluides et inertielles dans un écoulement avec un cisaillement homogène : DNS et nouveaux modèles de sous-maille de LES

Abstract : The main objective of this thesis is to study the acceleration of fluid and inertial particles moving in a turbulent flow under the influence of a homogeneous shear in order to develop LES stochastic models that predict subgrid acceleration of the flow and acceleration of inertial particles. Subgrid acceleration modelisation is done in the framework of the LES-SSAM approach which was introduced by Sabel’nikov, Chtab and Gorokhovski[EPJB 80:177]. Acceleration is predicted with two independant stochastic models : a log-normal Ornstein-Uhlenbeck process for the norm of acceleration and an Ornstein-Uhlenbeck process expressed in the sense of Stratonovich calculus for the components of the acceleration orientation vector. The approach is used to simulate fluid and inertial particles moving in a homogeneous isotropic turbulence and in a homogeneous sheared turbulence. Our results show that small scales statistics of particles are better predicted in comparison with classical LES approach. Modelling of inertial particles acceleration is done in the framework of the LES-STRIP which was introduced by Gorokhovski and Zamansky[PRF 3:034602] with two independant stochastic models in a similar way to the subgrid fluid acceleration. Computations of inertial particles in the homogeneous shear flow present good predicitons of the particles acceleration and velocity when STRIP model is used. In the last chapter, we present an equation to describe the dynamic of point-like particles which size is larger than the Kolmogorov scale moving in a homogeneous isotropic turbulence computed by direct numerical simulation. Results are compared with experiments and indicate that this description reproduces well the properties of the particles dynamic.
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https://tel.archives-ouvertes.fr/tel-01867846
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Submitted on : Tuesday, September 4, 2018 - 4:31:07 PM
Last modification on : Wednesday, July 8, 2020 - 12:42:07 PM
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Alexis Barge. Propriétés lagrangiennes de l'accélération turbulente des particules fluides et inertielles dans un écoulement avec un cisaillement homogène : DNS et nouveaux modèles de sous-maille de LES. Autre. Université de Lyon, 2018. Français. ⟨NNT : 2018LYSEC012⟩. ⟨tel-01867846⟩

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