Equatorially trapped nonlinear water waves in a beta-plane approximation with centripetal forces
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Accepted version
Date
2016-08-31
Authors
Henry, David
Journal Title
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Publisher
Cambridge University Press
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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