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UMR 5672

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Soutenance de Jason Reneuve

Modélisation de la structure fine de la turbulence quantique et classique
When Sep 27, 2019
from 02:00 to 04:00
Where Amphi F
Attendees Jason Reneuve
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This thesis consists of two parts that share a common theme : the modeling of small-scale phenomena in turbulent flows. In a first part we focus on the influence of rotons on the dynamics of a model of superfluid helium. We begin by a calibration of a nonlocal model of the interaction, aiming at reproducing the experimental dispersion relation of helium, as measured by neutron scattering methods. This model is then used to perform Direct Numerical Simulations (DNS) of the Gross-Pitaevskii equation, in order to probe the reconnection of quantum vortices. This phenomenon is studied quantitatively through a geometrical and energetical analysis of the results of the DNS. We then systematically compare these results with those of the local model, so as to study the influence of rotons on flow scales of the order of the Angtstrom. The goal of the second part is to describe the spatio-temporal structure of homogeneous and isotropic turbulence. To achieve it we start by a standard analysis of the statistical properties of the eulerian velocity field, by computing its spatio-temporal increments. We use the data from a DNS of the Navier-Stokes equations, hosted and made available by the Johns Hopkins University. We then propose a random, spatio-temporal eulerian velocity field, by first characterizing the structure of its correlations through a gaussian approximation. This approximation is then modified by a multifractal measure in order to reproduce the non-gaussian features, as they are demanded by the observed high level of skewness and flatness of increments.