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Inertia-gravity waves interacting with background flows- lecture 2 - Strong-dispersion regime
Multi angle
Authors : Gallet, Basile (Author of the conference)
CIRM (Publisher )
76D05 - Navier-Stokes equations (fluid dynamics)
76D33 - Waves
76U05 - Rotating fluids
CIRM (Publisher )
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Abstract :
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.
Keywords : wave-mean flow interaction; statistical physics
MSC Codes : Keywords : wave-mean flow interaction; statistical physics
76D05 - Navier-Stokes equations (fluid dynamics)
76D33 - Waves
76U05 - Rotating fluids
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Information on the Video
Film maker : Récanzone, LucaLanguage : English Available date : 20/06/2025 Conference Date : 27/05/2025 Subseries : Research School arXiv category : Fluid Dynamics Mathematical Area(s) : Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 01:33:55 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-05-27_Gallet_Part2.mp4 
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Information on the Event
Event Title : Physics and Mathematics of hydrodynamic and wave turbulence / Physique et Mathématiques de la turbulence hydrodynamique et de la turbulence d'ondesEvent Organizers : Chevillard, Laurent ; Cortet, Pierre-Philippe ; Mordant, Nicolas ; Saint-Raymond, Laure ; Shatah, Jalal Dates : 26/05/2025 - 30/05/2025 Event Year : 2025 Event URL : https://conferences.cirm-math.fr/3173.html
Citation Data
DOI : 10.24350/CIRM.V.20352303Cite this video as: Gallet, Basile (2025). Inertia-gravity waves interacting with background flows- lecture 2 - Strong-dispersion regime. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20352303 URI : http://dx.doi.org/10.24350/CIRM.V.20352303 |
See Also
- [Multi angle] On anomalous diffusion Lecture 2 / Author of the conference Vicol, Vlad.
- [Multi angle] On anomalous diffusion Lecture 1 / Author of the conference Vicol, Vlad.
- [Multi angle] On anomalous diffusion - lecture 2 / Author of the conference Armstrong, Scott.
- [Multi angle] On anomalous diffusion - lecture 1 / Author of the conference Armstrong, Scott.
- [Multi angle] Wave-wave interactions in rotating stratified flows - lecture 1 / Author of the conference Krstulovic, Giorgio.
- [Multi angle] Whither spontaneous stochasticity ? - lecture 3 / Author of the conference Eyink, Gregory.
- [Multi angle] Eulerian spontaneous stochasticity - lecture 2 / Author of the conference Eyink, Gregory.
- [Multi angle] Instabilities and singularities within fluid boundary layers - lecture 3 / Author of the conference Dalibard, Anne-Laure.
- [Multi angle] Instabilities and singularities within fluid boundary layers - lecture 2 / Author of the conference Dalibard, Anne-Laure.
- [Multi angle] Wave-wave interactions in rotating stratified flows - lecture 2 / Author of the conference Krstulovic, Giorgio.
- [Multi angle] Inertia-gravity waves interacting with background flows - lecture 1 / Author of the conference Gallet, Basile.
- [Multi angle] Lagrangian spontaneous stochasticity - lecture 1 / Author of the conference Eyink, Gregory.
- [Multi angle] Instabilities and singularities within fluid boundary layers - lecture 1 / Author of the conference Dalibard, Anne-Laure.
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
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