Physics and Mathematics of hydrodynamic and wave turbulence / Physique et Mathématiques de la turbulence hydrodynamique et de la turbulence d'ondes

Collection Physics and Mathematics of hydrodynamic and wave turbulence / Physique et Mathématiques de la turbulence hydrodynamique et de la turbulence d'ondes

Organizer(s) Chevillard, Laurent ; Cortet, Pierre-Philippe ; Mordant, Nicolas ; Saint-Raymond, Laure ; Shatah, Jalal

Date(s) 26/05/2025 - 30/05/2025

linked URL https://conferences.cirm-math.fr/3173.html

00:00:00 / 00:00:00

4 14

Inertia-gravity waves interacting with background flows- lecture 2 - Strong-dispersion regime

By Basile Gallet

The Ocean hosts a combination of slowly evolving balanced mean flows and rapidly evolving inertia-gravity waves (IGWs). While reduced models describing the slow balanced flow are standard textbook material [1], the description of the wave field is an active area of current research. We will first consider near-inertial waves (NIWs) induced by wind blowing over the Ocean, with the goal of determining their spatial reorganization by a background mean flow [2]. After deriving the standard asymptotic model governing NIW mean-flow interaction [3], we will highlight an analogy with the (quantum) dynamics of charged particles in a background electromagnetic field. The analogy offers a shortcut for predicting the spatial organization of the wave field using elementary methods from quantum physics and statistical mechanics. Time-permitting, we will then move on to fully 3D IGWs interacting with a slow background, focusing on the resulting cascade of wave action to small scales [4]. This is an elementary example of a turbulent cascade in a linear wave system, paving the way for subsequent lectures by G. Krstulovic on turbulent cascades in nonlinear wave systems.

Information about the video

Date of recording 27/05/2025
Date of publication 20/06/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20352303
Cite this video Gallet, Basile (27/05/2025). Inertia-gravity waves interacting with background flows- lecture 2 - Strong-dispersion regime. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20352303
URL https://dx.doi.org/10.24350/CIRM.V.20352303

Domain(s)

Fluid Dynamics

Bibliography

[1] SALMON, Rick. Lectures on geophysical fluid dynamics. Oxford University Press, 1998. - https://doi.org/10.1093/oso/9780195108088.001.0001
[2] DANIOUX, Eric, VANNESTE, Jacques, et BÜHLER, Oliver. On the concentration of near-inertial waves in anticyclones. Journal of Fluid Mechanics, 2015, vol. 773, p. R2. - https://doi.org/10.1017/jfm.2015.252
[3] YOUNG, W. R. et JELLOUL, Mahdi Ben. Propagation of near-inertial oscillations through a geostrophic flow. Journal of Marine Research 55, (4) .1997. - https://elischolar.library.yale.edu/journal_of_marine_research/2242
[4] KAFIABAD, Hossein A., SAVVA, Miles AC, et VANNESTE, Jacques. Diffusion of inertia-gravity waves by geostrophic turbulence. Journal of Fluid Mechanics, 2019, vol. 869, p. R7. - https://doi.org/10.1017/jfm.2019.300

MSC codes

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