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Stability of large-amplitude geostrophic flows localized in a thin layer

journal contribution
posted on 2023-05-16, 07:39 authored by Benilov, ES
In this paper the dynamics of geostrophic flows localized in a thin layer of continuously stratified fluid, which overrides a thick homogeneous layer are studied. The displacement of isopycnal surfaces is assumed large; the β-effect is strong, i.e. where ε is the Rossby number, θ is the latitude; Re is the Earth's radius, and R0 is the deformation radius based on the total depth of the ocean. An asymptotic system of equations is derived and used to study the stability of zonal currents. Three sufficient conditions of stability are obtained, which restrict the slope of the interface between the stratified and non-stratified layers. The results obtained are applied to the subtropical and subarctic frontal currents in the Northern Pacific: the former was found to be stable, the latter was found to be unstable. However, the growth rate of the instability is very small (the effective time of growth is about 2 years). © 1995, Cambridge University Press. All rights reserved.

History

Publication title

Journal of Fluid Mechanics

Volume

288

Pagination

157-174

ISSN

0022-1120

Department/School

School of Natural Sciences

Publisher

Cambridge Univ Press

Place of publication

Cambridge

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the physical sciences

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