CIRM - Videos & books Library - Inertia-gravity waves interacting with background flows

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Auteurs : Gallet, Basile (Auteur de la conférence)
CIRM (Editeur )

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Résumé : 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.

Mots-Clés : wave-mean flow interaction; statistical physics

Codes MSC :
76D05 - Navier-Stokes equations (fluid dynamics)
76D33 - Waves
76U05 - Rotating fluids

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Hennenfent, Guillaume

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https://videos.cirm-math.fr/2025-05-26_Gallet_Part_1.mp4

Informations sur la Rencontre

Nom de la Rencontre : Physics and Mathematics of hydrodynamic and wave turbulence / Physique et Mathématiques de la turbulence hydrodynamique et de la turbulence d'ondes
Organisateurs de la Rencontre : Chevillard, Laurent ; Cortet, Pierre-Philippe ; Mordant, Nicolas ; Saint-Raymond, Laure ; Shatah, Jalal
Dates : 26/05/2025 - 30/05/2025
Année de la rencontre : 2025
URL de la Rencontre : https://conferences.cirm-math.fr/3173.html

Données de citation

DOI : 10.24350/CIRM.V.20351603
Citer cette vidéo: Gallet, Basile (2025). Inertia-gravity waves interacting with background flows - lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20351603
URI : http://dx.doi.org/10.24350/CIRM.V.20351603

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Bibliographie

[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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