Stabilité et formation de jets dans les bulles cavitantes : Développement d'une méthode de chaîne de marqueurs adaptée au traitement numérique des équations de Navier-Stokes avec surfaces libres

Abstract : This dissertation describes a novel technique for solving numerically the Navier--Stokes equations with interfaces or free--surfaces. The first part is a presentation of the general principle of the method applied to two--phases flows. A particular attention is paid to the treatment of terms linked to surface tension. The method is then formalised for the case of free--surface flows. Several validation tests are presented including: capillary waves, ocillations of drops, Rayleigh--Taylor instability, bubbles rising in a liquid. Two main applications are considered in the following chapters: sonoluminescence and cavitation. We investigate more particularly the coupling between radial and translational oscillations for acoustically levitated bubbles and the stability of the spherical shape of sonoluminescing bubbles. Jet formation in bubbles cavitating near solid boundaries is simulated numerically and compared to experimental photographic series. A detailed parametric study of the influence of viscosity on jet formation and jet impact velocity is undertaken.
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Stéphane Popinet. Stabilité et formation de jets dans les bulles cavitantes : Développement d'une méthode de chaîne de marqueurs adaptée au traitement numérique des équations de Navier-Stokes avec surfaces libres. Mécanique des fluides [physics.class-ph]. Universite Pierre et Marie Curie, 2000. Français. ⟨tel-01460748⟩

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