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Dynamics of large-amplitude geostrophic flows over bottom topography

journal contribution
posted on 2023-05-16, 10:47 authored by Benilov, ES, Sakov, PV
We examine the interaction of near-surface and near-bottom flows over bottom topography. A set of asymptotic equations for geostrophic currents in a three-layer fluid is derived. The depths of the active (top/bottom) layers are assumed small, the slope of the bottom is weak, the interfacial displacement is comparable to the depths of the thinner layers. Using the equations derived, we examine the stability of parallel flows and circular eddies. It is demonstrated that eddies with non-zero near-surface component are always unstable; eddies localized in the near-bottom layer may be stable subject to additional restrictions imposed on their horizontal profiles and bottom topography.

History

Publication title

Nonlinear Processes in Geophysics

Volume

4

Pagination

55-62

ISSN

1023-5809

Department/School

School of Natural Sciences

Publisher

European Geophysical Soc

Place of publication

Max-Planck-Str 13, Katlenburg-Lindau, Germany, 37191

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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