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

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dc.contributor.authorHenry, David
dc.contributor.funderScience Foundation Irelanden
dc.date.accessioned2021-11-08T16:48:06Z
dc.date.available2021-11-08T16:48:06Z
dc.date.issued2016-08-31
dc.date.updated2021-05-20T12:24:50Z
dc.description.abstractIn 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.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleidR1en
dc.identifier.citationHenry, 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.2016.544en
dc.identifier.doi10.1017/jfm.2016.544en
dc.identifier.eissn1469-7645
dc.identifier.endpage11en
dc.identifier.issn0022-1120
dc.identifier.journaltitleJournal of Fluid Mechanicsen
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/12170
dc.identifier.volume804en
dc.language.isoenen
dc.publisherCambridge University Pressen
dc.relation.projectinfo:eu-repo/grantAgreement/SFI/SFI Career Development Award/13/CDA/2117/IE/Nonlinear wave-current interactions in the nearshore: addressing the role of vorticity and nonlinearity in the modelling of ocean energy/en
dc.rights© 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.en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectEquatorial wavesen
dc.subjectCoriolis termsen
dc.subjectStratified water wavesen
dc.subjectStratified flowsen
dc.subjectGeophysical flowsen
dc.titleEquatorially trapped nonlinear water waves in a beta-plane approximation with centripetal forcesen
dc.typeArticle (peer-reviewed)en
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