Dynamics of large-amplitude geostrophic flows over bottom topography

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 i...

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Main Authors: E. S. Benilov, P. V. Sakov
Format: Article
Language:English
Published: Copernicus Publications 1997-01-01
Series:Nonlinear Processes in Geophysics
Online Access:http://www.nonlin-processes-geophys.net/4/55/1997/npg-4-55-1997.pdf
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spelling doaj-6bbaad8857694d6c8266a47986f5f0e62020-11-24T23:43:36ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79461997-01-01415562Dynamics of large-amplitude geostrophic flows over bottom topographyE. S. BenilovP. V. SakovWe 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.http://www.nonlin-processes-geophys.net/4/55/1997/npg-4-55-1997.pdf
collection DOAJ
language English
format Article
sources DOAJ
author E. S. Benilov
P. V. Sakov
spellingShingle E. S. Benilov
P. V. Sakov
Dynamics of large-amplitude geostrophic flows over bottom topography
Nonlinear Processes in Geophysics
author_facet E. S. Benilov
P. V. Sakov
author_sort E. S. Benilov
title Dynamics of large-amplitude geostrophic flows over bottom topography
title_short Dynamics of large-amplitude geostrophic flows over bottom topography
title_full Dynamics of large-amplitude geostrophic flows over bottom topography
title_fullStr Dynamics of large-amplitude geostrophic flows over bottom topography
title_full_unstemmed Dynamics of large-amplitude geostrophic flows over bottom topography
title_sort dynamics of large-amplitude geostrophic flows over bottom topography
publisher Copernicus Publications
series Nonlinear Processes in Geophysics
issn 1023-5809
1607-7946
publishDate 1997-01-01
description 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.
url http://www.nonlin-processes-geophys.net/4/55/1997/npg-4-55-1997.pdf
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