The effect of ageostrophy on the stability of thin oceanic vortices

Details The effect of ageostrophy on the stability of thin oceanic vortices The effect of ageostrophy on the stability of thin oceanic vortices

May 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005dyato..39..211b&link_type=abstract

Dynamics of Atmospheres and Oceans, Volume 39, Issue 3-4, p. 211-226.

Computer Science

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Scientific paper

This paper examines the stability of vortices in a two-layer ocean on the f-plane. The mean depth h of the upper layer is assumed to be much smaller than the depth h of the lower layer. Using the primitive equations, we derive an asymptotic criterion for baroclinic instability of compensated (i.e. confined to the upper layer) vortices. Surprisingly, it coincides exactly with a similar criterion derived from the quasigeostrophic equations [Benilov, E.S., 2003. Instability of quasigeostrophic vortices in a two-layer ocean with thin upper layer. J. Fluid Mech. 475, 303 331]. Thus, to leading order in h/h, ageostrophy does not affect the stability properties of thin compensated vortices. As a result, whether a vortex is stable or not, depends on its shape, not amplitude (although the growth rate of an unstable vortex does depend on its amplitude).

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