Equatorially trapped nonlinear water waves in a beta-plane approximation with centripetal forces

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2016-JFM-Henry.pdf(280.89 KB)
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Date
2016-08-31
Authors
Henry, David
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Publisher
Cambridge University Press
Published Version
10.1017/jfm.2016.544
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Abstract
In this paper we present an exact and explicit nonlinear solution of a 𝛽 -plane approximation to the governing equations which retains all Coriolis terms. The solution represents an equatorially trapped wave propagating in the presence of a constant underlying background current. In particular, we show that retention of the (relatively) small-scale centripetal forces in the governing equations enables us to admit currents of any physically plausible magnitude in the background flow.
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Keywords
Equatorial waves , Coriolis terms , Stratified water waves , Stratified flows , Geophysical flows
Citation
Henry, D. (2016) 'Equatorially trapped nonlinear water waves in a beta-plane approximation with centripetal forces', Journal of Fluid Mechanics, 804, R1 (11 pp). doi: 10.1017/jfm.2016.544
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https://hdl.handle.net/10468/12170
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Mathematical Sciences- Journal Articles
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© 2016 Cambridge University Press. This article has been published in a revised form in the Journal of Fluid Mechanics, http://doi.org/10.1017/jfm.2016.544. This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed.