Wave super-attractors in rotating fluids
| Quand ? |
Le 01/10/2024, de 11:00 à 12:05 |
|---|---|
| Où ? | Salle des conseils |
| S'adresser à | Louis Couston |
| Participants |
Benjamin Favier |
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We consider inertial waves propagating in a fluid contained in a non-axisymmetric three-dimensional rotating cavity. The problem is first tackled using ray tracing, where local wave packets are geometrically propagated and reflected within the closed volume without attenuation. We complement these results with a local asymptotic analysis and numerical simulations of the original linear viscous problem. We show that the attractors, well known in two-dimensional or axisymmetric domains, can be trapped in a particular plane in three dimensions provided that the axisymmetry of the domain is broken. Contrary to previous examples of attractors in three-dimensional domains, all rays converge towards the same limit cycle, which we call super-attractor, regardless of initial conditions. Such localised structures might play a particular dissipative role in rotating and stratified flows.