Reflection of equatorial Kelvin waves at eastern ocean boundaries Part I: hypothetical boundaries

A baroclinic shallow-water model is developed to investigate the effect of the orientation of the eastern ocean boundary on the behavior of equatorial Kelvin waves. The model is formulated in a spherical polar coordinate system and includes dissipation and non-linear terms, effects which have no...

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Main Authors: J. Soares, I. Wainer, N. C. Wells
Format: Article
Language:English
Published: Copernicus Publications 1999-06-01
Series:Annales Geophysicae
Online Access:https://www.ann-geophys.net/17/812/1999/angeo-17-812-1999.pdf
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author J. Soares
I. Wainer
N. C. Wells
author_facet J. Soares
I. Wainer
N. C. Wells
author_sort J. Soares
collection DOAJ
description A baroclinic shallow-water model is developed to investigate the effect of the orientation of the eastern ocean boundary on the behavior of equatorial Kelvin waves. The model is formulated in a spherical polar coordinate system and includes dissipation and non-linear terms, effects which have not been previously included in analytical approaches to the problem. Both equatorial and middle latitude response are considered given the large latitudinal extent used in the model. Baroclinic equatorial Kelvin waves of intraseasonal, seasonal and annual periods are introduced into the domain as pulses of finite width. Their subsequent reflection, transmission and dissipation are investigated. It is found that dissipation is very important for the transmission of wave energy along the boundary and for reflections from the boundary. The dissipation was found to be dependent not only on the presence of the coastal Kelvin waves in the domain, but also on the period of these coastal waves. In particular the dissipation increases with wave period. It is also shown that the equatorial <i>β</i>-plane approximation can allow an anomalous generation of Rossby waves at higher latitudes. Nonlinearities generally have a small effect on the solutions, within the confines of this model.<br><br><b>Key words. </b>Oceanography: general (equatorial oceanography; numerical modeling) · Oceanography: physical (eastern boundary currents)
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spelling doaj.art-35062fb92e9947f9a3b0b3e041f401902022-12-21T19:12:01ZengCopernicus PublicationsAnnales Geophysicae0992-76891432-05761999-06-011781282610.1007/s00585-999-0812-zReflection of equatorial Kelvin waves at eastern ocean boundaries Part I: hypothetical boundariesJ. Soares0I. Wainer1N. C. Wells2Departamento de Ciências Atmosféricas, Rua do Matão 1226, Universidade de São Paulo, SP, Brazil, 05508-900Departamento de Oceanografia Física, Praça do Oceanográfico 191, Universidade de São Paulo, SP, Brazil, 05508-900Southampton Oceanography Centre, European Way, Southampton, England, UK, SO14 3ZHA baroclinic shallow-water model is developed to investigate the effect of the orientation of the eastern ocean boundary on the behavior of equatorial Kelvin waves. The model is formulated in a spherical polar coordinate system and includes dissipation and non-linear terms, effects which have not been previously included in analytical approaches to the problem. Both equatorial and middle latitude response are considered given the large latitudinal extent used in the model. Baroclinic equatorial Kelvin waves of intraseasonal, seasonal and annual periods are introduced into the domain as pulses of finite width. Their subsequent reflection, transmission and dissipation are investigated. It is found that dissipation is very important for the transmission of wave energy along the boundary and for reflections from the boundary. The dissipation was found to be dependent not only on the presence of the coastal Kelvin waves in the domain, but also on the period of these coastal waves. In particular the dissipation increases with wave period. It is also shown that the equatorial <i>β</i>-plane approximation can allow an anomalous generation of Rossby waves at higher latitudes. Nonlinearities generally have a small effect on the solutions, within the confines of this model.<br><br><b>Key words. </b>Oceanography: general (equatorial oceanography; numerical modeling) · Oceanography: physical (eastern boundary currents)https://www.ann-geophys.net/17/812/1999/angeo-17-812-1999.pdf
spellingShingle J. Soares
I. Wainer
N. C. Wells
Reflection of equatorial Kelvin waves at eastern ocean boundaries Part I: hypothetical boundaries
Annales Geophysicae
title Reflection of equatorial Kelvin waves at eastern ocean boundaries Part I: hypothetical boundaries
title_full Reflection of equatorial Kelvin waves at eastern ocean boundaries Part I: hypothetical boundaries
title_fullStr Reflection of equatorial Kelvin waves at eastern ocean boundaries Part I: hypothetical boundaries
title_full_unstemmed Reflection of equatorial Kelvin waves at eastern ocean boundaries Part I: hypothetical boundaries
title_short Reflection of equatorial Kelvin waves at eastern ocean boundaries Part I: hypothetical boundaries
title_sort reflection of equatorial kelvin waves at eastern ocean boundaries part i hypothetical boundaries
url https://www.ann-geophys.net/17/812/1999/angeo-17-812-1999.pdf
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