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# The Complete Classification of Large-Amplitude Geostrophic Flows in a Two-Layer Fluid

journal contribution

posted on 2023-05-16, 10:21 authored by Benilov, ES, Reznik, GMWe examine two-layer geostrophic flows over a fiat bottom on the Î²-plane. If the displacement of the interface is of the order of the depth of the upper layer, the dynamics of the flow depends on the following non-dimensional parameters: (i) the Rossby number Îµ, (ii) the ratio Î´ of the depth of the upper layer to the total depth of the fluid, (iii) the "Î²-effect number" Î±=R0/R, cot 0, where R0 is the deformation radius, Re is the earth's radius and 0 is the latitude. In this paper, 1) we derive four sets of asymptotic equations which cover the parameter space (ÎµÂ« 1,Î±Î²). 2) In order to find out, which asymptotic regimes are relevant to the real ocean, we estimate aÎµ, Î´ and Â« for a number of frontal flows in the Northern Pacific and Southern oceans. 3) We also discuss the stability properties of large-amplitude geostrophic flows and classify them in the (Îµ,Î±,Î´)-space.

## History

## Publication title

Geophys. Astrophys. Fluid Dynamics## Volume

82## Issue

1-2## Pagination

1-22## ISSN

0309-1929## Department/School

School of Natural Sciences## Publisher

Taylor & Francis Ltd## Place of publication

4 Park Square, Milton Park, Abingdon, England, Oxon, Ox14 4Rn## Repository Status

- Restricted