Equatorially trapped nonlinear water waves in a beta-plane approximation with centripetal forces
Cambridge University Press
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.
Equatorial waves , Coriolis terms , Stratified water waves , Stratified flows , Geophysical flows
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
© 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.