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Étude expérimentale de la turbulence d’ondes à la surface d’un fluide. La théorie de la turbulence faible à l’épreuve de la réalité pour les ondes de capillarité et gravité

Abstract : The wave turbulence provides a statistical description of the interactions of a large set of weakly non-linear waves. Introduced in the 1960s by the works of Zakharov and Hasselmann, this theory often fails against experiments, particularly for gravity waves and at the crossover for capillary-gravity waves. The objective of this PhD is to study experimentally these two regimes by looking directly at the resonant interactions that are the heart of the weak turbulence theory. The first experiment focuses on the capillary-gravity regime. An energy cascade composed of weakly linear waves is observed in agreement with the phenomenology of the theory. The use of higher order statistical tools shows that it is essentially 3-waves collinear interaction that govern the cascade. The second experiment explores the pure gravity regime thanks to the large dimensions of the Coriolis platform. The full energy spectrum shows the systematic presence of the harmonic branch, although it remains small compared to the linear component. The correlations indicate the presence of strong 3-waves interactions between the linear branch and the harmonics branches. No 4-waves interaction as assumed by the theory is observed. The last section reports the results from an experiment on internal waves and from in situ data of the Black Sea made available by F. Ardhuin. These two experiments confirm the results of the previous section and raise the question of the importance of the 3-wave interaction with the harmonic branch for generating the energy cascade in the gravity wave regime…
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Quentin Aubourg. Étude expérimentale de la turbulence d’ondes à la surface d’un fluide. La théorie de la turbulence faible à l’épreuve de la réalité pour les ondes de capillarité et gravité. Mécanique des fluides [physics.class-ph]. Université Grenoble Alpes, 2016. Français. ⟨NNT : 2016GREAI061⟩. ⟨tel-01597576⟩

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