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Dynamique d'une interface en présence d'une singularité de contact solide/fluide.

Abstract : The aim of this work is to achieve a physically relevant modeling removing velocity or vorticity singularities which occur at solid/fluid junctions. These singularities are very common in a number of fluid flows (e.g. lid-driven cavity corners, laterally heated liquid bridges, moving contact lines). It is well known that spectral methods are very sensitive to singularities, and exhibit non physical oscillations (Gibbs Phenomenon) in the vicinity of a discontinuity. For this reason, when using such methods, singular boundary conditions have to be replaced by some regular condition obtained by explicitly filtering the discontinuity. It is less known that finite precision methods (e.g. finite differences, finite volumes, finite elements), though allowing to keep the original conditions, introduce some implicit filter depending on the scale of discretization. In a previous work, evidence was brought up that the local scale of filtering can play a determinant role on the global flow structure. It can, for instance, be responsible for symmetry breaking of the solution in full zone liquid bridge simulations. Assuming that physics is regular, there must exist some mechanism that modifies the fluid's behavior in the region where the classical model fails. Two fundamental questions emerge from these considerations. First, what is the length of the small scale at which physics differs. Second, does there exist some macroscopic model which can incorporate these local effects in macroscopic numerical simulations of continuous medium. This thesis is an attempt to address these two questions.
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  • HAL Id : tel-01390365, version 1

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Sébastien Nguyen. Dynamique d'une interface en présence d'une singularité de contact solide/fluide.. Mécanique des fluides [physics.class-ph]. Université de Paris-Sud. Faculté des Sciences d'Orsay (Essonne), 2005. Français. ⟨NNT : 2005PA112071⟩. ⟨tel-01390365⟩

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