Stability of large-amplitude geostrophic flows localized in a thin layer
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. \[(R_0/R_e)\cot\theta\gtrsim\epsilon, \] where ε is...
Published in: | Journal of Fluid Mechanics |
---|---|
Main Author: | |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Cambridge University Press (CUP)
1995
|
Subjects: | |
Online Access: | http://dx.doi.org/10.1017/s0022112095001108 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112095001108 |
id |
crcambridgeupr:10.1017/s0022112095001108 |
---|---|
record_format |
openpolar |
spelling |
crcambridgeupr:10.1017/s0022112095001108 2024-06-23T07:57:02+00:00 Stability of large-amplitude geostrophic flows localized in a thin layer Benilov, E. S. 1995 http://dx.doi.org/10.1017/s0022112095001108 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112095001108 en eng Cambridge University Press (CUP) https://www.cambridge.org/core/terms Journal of Fluid Mechanics volume 288, page 157-174 ISSN 0022-1120 1469-7645 journal-article 1995 crcambridgeupr https://doi.org/10.1017/s0022112095001108 2024-06-12T04:05:06Z 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. \[(R_0/R_e)\cot\theta\gtrsim\epsilon, \] where ε is the Rossby number, θ is the latitude; R e is the Earth's radius, and R 0 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). Article in Journal/Newspaper Subarctic Cambridge University Press Pacific Journal of Fluid Mechanics 288 157 174 |
institution |
Open Polar |
collection |
Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
description |
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. \[(R_0/R_e)\cot\theta\gtrsim\epsilon, \] where ε is the Rossby number, θ is the latitude; R e is the Earth's radius, and R 0 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). |
format |
Article in Journal/Newspaper |
author |
Benilov, E. S. |
spellingShingle |
Benilov, E. S. Stability of large-amplitude geostrophic flows localized in a thin layer |
author_facet |
Benilov, E. S. |
author_sort |
Benilov, E. S. |
title |
Stability of large-amplitude geostrophic flows localized in a thin layer |
title_short |
Stability of large-amplitude geostrophic flows localized in a thin layer |
title_full |
Stability of large-amplitude geostrophic flows localized in a thin layer |
title_fullStr |
Stability of large-amplitude geostrophic flows localized in a thin layer |
title_full_unstemmed |
Stability of large-amplitude geostrophic flows localized in a thin layer |
title_sort |
stability of large-amplitude geostrophic flows localized in a thin layer |
publisher |
Cambridge University Press (CUP) |
publishDate |
1995 |
url |
http://dx.doi.org/10.1017/s0022112095001108 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112095001108 |
geographic |
Pacific |
geographic_facet |
Pacific |
genre |
Subarctic |
genre_facet |
Subarctic |
op_source |
Journal of Fluid Mechanics volume 288, page 157-174 ISSN 0022-1120 1469-7645 |
op_rights |
https://www.cambridge.org/core/terms |
op_doi |
https://doi.org/10.1017/s0022112095001108 |
container_title |
Journal of Fluid Mechanics |
container_volume |
288 |
container_start_page |
157 |
op_container_end_page |
174 |
_version_ |
1802650473401942016 |