Thermal instability in rotating shallow water with horizontal temperature/density gradients

Type Article
Date 2017-10
Language English
Author(s) Gouzien E.1, 2, Lahaye Noe3, Zeitlin V.1, 2, Dubos T.4
Affiliation(s) 1 : Ecole Normale Super, LMD, 24 Rue Lhomond, F-75005 Paris, France.
2 : Univ Paris 06, 24 Rue Lhomond, F-75005 Paris, France.
3 : Univ Western Brittany, IUEM, LOPS, Rue Dumont Urville, F-29280 Plouzane, France.
4 : Ecole Polytech, LMD, F-91128 Palaiseau, France.
Source Physics Of Fluids (1070-6631) (Amer Inst Physics), 2017-10 , Vol. 29 , N. 10 , P. 101702 (5p.)
DOI 10.1063/1.4996981
WOS© Times Cited 9

A specific instability of vortices is found in rotating shallow water equations with horizontal density/temperature gradients, which is used for modelling atmospheric and oceanic mixed layers. The model is re-interpreted as dynamics of rotating non-isentropic two-dimensional gas. The instability, which was not reported previously, develops in a way suggesting its convective character. It appears when anomaly of buoyancy at the center of the vortex and the vorticity have opposite signs (for positive Coriolis parameters), and coexists with the standard barotropic instability, having higher growth rates in a wide range of parameters and leading to efficient mixing at a nonlinear stage. Published by AIP Publishing.

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