Scattering of barotropic Rossby waves by the Antarctic Circumpolar Current
This study examines the interactions between barotropic Rossby waves and a zonal current, with particular reference to the Antarctic Circumpolar Current (ACC). In the high latitude of the Southern Ocean, the effect, which provides the restoring mechanism for Rossby waves, is relatively weak, resulti...
Main Authors: | , , |
---|---|
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
2006
|
Subjects: | |
Online Access: | http://eprints.maths.manchester.ac.uk/687/1/2005JC003014.pdf |
id |
ftunivmanmims:oai:eprints.maths.manchester.ac.uk.MIMS.EPrints:687 |
---|---|
record_format |
openpolar |
spelling |
ftunivmanmims:oai:eprints.maths.manchester.ac.uk.MIMS.EPrints:687 2023-05-15T13:58:37+02:00 Scattering of barotropic Rossby waves by the Antarctic Circumpolar Current Owen, G. W. Willmott, A. J. Abrahams, David 2006 application/pdf http://eprints.maths.manchester.ac.uk/687/1/2005JC003014.pdf en eng http://eprints.maths.manchester.ac.uk/687/ http://www.agu.org/pubs/crossref/2006./2005JC003014.shtml 10.1029/2005JC003014 http://eprints.maths.manchester.ac.uk/687/1/2005JC003014.pdf Owen, G. W. and Willmott, A. J. and Abrahams, David (2006) Scattering of barotropic Rossby waves by the Antarctic Circumpolar Current. Journal of Geophysical Research, 111 (C12024). pp. 1-14. ISSN 0148-0227 74 Mechanics of deformable solids Article PeerReviewed 2006 ftunivmanmims 2022-04-04T11:35:59Z This study examines the interactions between barotropic Rossby waves and a zonal current, with particular reference to the Antarctic Circumpolar Current (ACC). In the high latitude of the Southern Ocean, the effect, which provides the restoring mechanism for Rossby waves, is relatively weak, resulting in barotropic waves that are extremely long, with periods of the order of 1 week or longer. We model the interactions between the current and the waves using the linearized potential vorticity (PV) equation with the inclusion of background PV terms corresponding to a barotropic zonal flow of finite width. An analytical solution is found for the simplest, piecewise-linear flow and numerical solutions obtained for more realistic, smoothly varying flows. The results show that, in general, the long waves are not appreciably modified or reflected by the shear flow, except in the case where the wave is incident at an oblique angle. Wave reflection is also more pronounced for shorter waves, such as Rossby waves having eastward group velocity or the case where the wave frequency is just below the cutoff frequency. Article in Journal/Newspaper Antarc* Antarctic Southern Ocean The University of Manchester, Manchester Institute for Mathematical Sciences (MIMS): MIMS EPrints Antarctic Southern Ocean The Antarctic |
institution |
Open Polar |
collection |
The University of Manchester, Manchester Institute for Mathematical Sciences (MIMS): MIMS EPrints |
op_collection_id |
ftunivmanmims |
language |
English |
topic |
74 Mechanics of deformable solids |
spellingShingle |
74 Mechanics of deformable solids Owen, G. W. Willmott, A. J. Abrahams, David Scattering of barotropic Rossby waves by the Antarctic Circumpolar Current |
topic_facet |
74 Mechanics of deformable solids |
description |
This study examines the interactions between barotropic Rossby waves and a zonal current, with particular reference to the Antarctic Circumpolar Current (ACC). In the high latitude of the Southern Ocean, the effect, which provides the restoring mechanism for Rossby waves, is relatively weak, resulting in barotropic waves that are extremely long, with periods of the order of 1 week or longer. We model the interactions between the current and the waves using the linearized potential vorticity (PV) equation with the inclusion of background PV terms corresponding to a barotropic zonal flow of finite width. An analytical solution is found for the simplest, piecewise-linear flow and numerical solutions obtained for more realistic, smoothly varying flows. The results show that, in general, the long waves are not appreciably modified or reflected by the shear flow, except in the case where the wave is incident at an oblique angle. Wave reflection is also more pronounced for shorter waves, such as Rossby waves having eastward group velocity or the case where the wave frequency is just below the cutoff frequency. |
format |
Article in Journal/Newspaper |
author |
Owen, G. W. Willmott, A. J. Abrahams, David |
author_facet |
Owen, G. W. Willmott, A. J. Abrahams, David |
author_sort |
Owen, G. W. |
title |
Scattering of barotropic Rossby waves by the Antarctic Circumpolar Current |
title_short |
Scattering of barotropic Rossby waves by the Antarctic Circumpolar Current |
title_full |
Scattering of barotropic Rossby waves by the Antarctic Circumpolar Current |
title_fullStr |
Scattering of barotropic Rossby waves by the Antarctic Circumpolar Current |
title_full_unstemmed |
Scattering of barotropic Rossby waves by the Antarctic Circumpolar Current |
title_sort |
scattering of barotropic rossby waves by the antarctic circumpolar current |
publishDate |
2006 |
url |
http://eprints.maths.manchester.ac.uk/687/1/2005JC003014.pdf |
geographic |
Antarctic Southern Ocean The Antarctic |
geographic_facet |
Antarctic Southern Ocean The Antarctic |
genre |
Antarc* Antarctic Southern Ocean |
genre_facet |
Antarc* Antarctic Southern Ocean |
op_relation |
http://eprints.maths.manchester.ac.uk/687/ http://www.agu.org/pubs/crossref/2006./2005JC003014.shtml 10.1029/2005JC003014 http://eprints.maths.manchester.ac.uk/687/1/2005JC003014.pdf Owen, G. W. and Willmott, A. J. and Abrahams, David (2006) Scattering of barotropic Rossby waves by the Antarctic Circumpolar Current. Journal of Geophysical Research, 111 (C12024). pp. 1-14. ISSN 0148-0227 |
_version_ |
1766266985275981824 |