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


Benilov, ES, Stability of large-amplitude geostrophic flows localized in a thin layer, Journal of Fluid Mechanics, 288 pp. 157-174. ISSN 0022-1120 (1995) [Refereed Article]

DOI: doi:10.1017/S0022112095001108


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.

Item Details

Item Type:Refereed Article
Research Division:Earth Sciences
Research Group:Oceanography
Research Field:Physical oceanography
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Benilov, ES (Dr Eugene Benilov)
ID Code:3522
Year Published:1995
Web of Science® Times Cited:5
Deposited By:Applied Computing and Mathematics
Deposited On:1995-08-01
Last Modified:2011-08-22

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