Internal gravity waves versus inertial waves in the laboratory

Sylvain Joubaud; Samuel Boury; Philippe Odier

doi:10.5802/crphys.197

Article de synthèse

Internal gravity waves versus inertial waves in the laboratory
[Ondes internes de gravité versus ondes inertielles au laboratoire]

Sylvain Joubaud ¹ ; Samuel Boury ² ; Philippe Odier ¹

¹ Ens de Lyon, CNRS, Laboratoire de Physique, Lyon, France
² Université Paris-Saclay, CNRS, FAST, 91405 Orsay, France

Comptes Rendus. Physique, Online first (2024), pp. 1-27.

Résumé
Abstract

Les fluides stratifiés en densité et/ou tournants sont très courants dans les écoulements géophysiques et astrophysiques et permettent respectivement la propagation d’ondes internes de gravité et d’ondes inertielles. Mathématiquement, la relation de dispersion particulière a la même forme pour les deux classes d’ondes et peut conduire à des résultats inattendus via amplification, résonance ou non-linéarités. Même si leur relation de dispersion est très similaire, les ondes internes de gravité et les ondes d’inertie ont des caractéristiques structurelles différentes et résultent de mécanismes physiques distincts. Comprendre les analogies et les différences dans leurs dynamiques est crucial pour étudier leurs rôles respectifs. Dans cette revue, nous décrirons des expériences en laboratoire qui ont étudié soit les ondes d’inertie dans un fluide homogène en rotation, soit les ondes internes de gravité dans un fluide stratifié en densité non tournant, afin de mettre en évidence à la fois les similitudes et les divergences entre ces deux types d’ondes. Nous nous concentrerons sur les phénomènes linéaires et non linéaires se produisant pour trois configurations différentes : les faisceaux d’ondes en géométrie 2D et 3D, les ondes axisymétriques, ainsi que les attracteurs d’ondes, spécificité de ces ondes. En particulier, nous décrirons l’influence de ces différentes configurations sur l’instabilité triadique résonante (TRI).

Density-stratified and/or rotating fluids are very common in geophysical and astrophysical flows and enable the propagation of respectively internal gravity waves and inertial waves. Their peculiar dispersion relation has the same mathematical form for both classes of waves and can lead to unexpected outcomes through amplification, resonance or non-linearities. Even though their dispersion relation is very similar, internal gravity waves and inertial waves have different structural characteristics and arise from distinct physical mechanisms. Understanding the analogies and the differences in their behaviors is crucial for studying their respective roles. In this review, we will describe laboratory experiments that have studied either inertial waves in rotating homogeneous fluids or internal gravity waves in non-rotating density stratified fluids to highlight both the similarities and the differences between these two types of waves. We will focus on linear and non-linear phenomena occurring for three different configurations: wave beams in 2D and in 3D geometry, axisymmetric waves, as well as wave attractors, a specific feature for these waves. In particular, we will describe the influence of these various configurations on the Triadic Resonant Instability (TRI).

Reçu le : 2024-04-19
Révisé le : 2024-07-23
Accepté le : 2024-08-05
Première publication : 2024-11-07

DOI : 10.5802/crphys.197

Keywords: Internal gravity waves, Inertial waves, Stratified fluid, Rotating fluid, Triadic Resonant Instability, wave attractors
Mot clés : Ondes internes de gravité, Ondes inertielles, Fluides stratifiés, Fluides en rotation, Instabilité par résonance triadique, attracteurs d’ondes

Affiliations des auteurs :

Sylvain Joubaud ¹ ; Samuel Boury ² ; Philippe Odier ¹

¹ Ens de Lyon, CNRS, Laboratoire de Physique, Lyon, France
² Université Paris-Saclay, CNRS, FAST, 91405 Orsay, France

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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Sylvain Joubaud; Samuel Boury; Philippe Odier. Internal gravity waves versus inertial waves in the laboratory. Comptes Rendus. Physique, Online first (2024), pp. 1-27. doi : 10.5802/crphys.197.

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