Inertia-gravity waves in geophysical vortices

Author:

Vidal Jérémie1ORCID,Colin de Verdière Yves2

Affiliation:

1. Université Grenoble Alpes, CNRS, ISTerre, Grenoble 38000, France

2. Université Grenoble Alpes, CNRS, Institut Fourier, Grenoble 38000, France

Abstract

Pancake-like vortices are often generated by turbulence in geophysical flows. Here, we study the inertia-gravity oscillations that can exist within such geophysical vortices, due to the combined action of rotation and gravity. We consider a fluid enclosed within a triaxial ellipsoid, which is stratified in density with a constant Brunt–Väisälä frequency (using the Boussinesq approximation) and uniformly rotating along a (possibly) tilted axis with respect to gravity. The wave problem is then governed by a mixed hyperbolic-elliptic equation for the velocity. As in the rotating non-stratified case considered by Vantieghem (2014, Proc. R. Soc. A , 470 , 20140093. ( doi:10.1098/rspa.2014.0093 )), we find that the spectrum is pure point in ellipsoids (i.e. only consists of eigenvalues) with polynomial eigenvectors. Then, we characterize the spectrum using numerical computations (obtained with a bespoke Galerkin method) and asymptotic spectral theory. Finally, the results are discussed in light of natural applications (e.g. for Mediterranean eddies or Jupiter’s vortices).

Funder

European Research Council

Publisher

The Royal Society

Reference83 articles.

1. A theoretical and experimental investigation of the phase configuration of internal waves of small amplitude in a density stratified liquid

2. Greenspan HP. 1968 The theory of rotating fluids. Cambridge, UK: Cambridge University Press.

3. LeBlond PH, Mysak LA. 1981 Waves in the ocean. Amsterdam, The Netherlands: Elsevier.

4. Instabilities of Internal Gravity Wave Beams

5. Wave turbulence in geophysical flows

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