Nonhydrostatic internal waves in the presence of mean currents and rotation

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dc.contributor.authorMcCarney, Jordanen
dc.contributor.funderScience Foundation Irelanden
dc.date.accessioned2024-04-23T13:33:32Z
dc.date.available2024-04-23T13:33:32Z
dc.date.issued2024-04-17en
dc.description.abstractIn this paper we present a new exact solution that represents a Pollard-like, three-dimensional, nonlinear internal wave propagating on a non-uniform zonal current in a nonhydrostatic ocean model. The solution is presented in Lagrangian coordinates, and in the process we derive a dispersion relation for the internal wave which is subjected to a perturbative analysis which reveals the existence of two distinct modes of wave motion.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid043101en
dc.identifier.citationMcCarney, J. (2024) ‘Nonhydrostatic internal waves in the presence of mean currents and rotation’, Journal of Mathematical Physics, 65(4), 043101 (10 pp.). Available at: https://doi.org/10.1063/5.0176160en
dc.identifier.doihttps://doi.org/10.1063/5.0176160en
dc.identifier.endpage10en
dc.identifier.issn0022-2488en
dc.identifier.issn1089-7658en
dc.identifier.issued4en
dc.identifier.journaltitleJournal of Mathematical Physicsen
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/15819
dc.identifier.volume65en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.relation.ispartofJournal of Mathematical Physicsen
dc.relation.projectinfo:eu-repo/grantAgreement/SFI/SFI Frontiers for the Future::Frontiers for Partnership Awards/21/FFP-A/9150/IE/Ocean flow induced by Internal Wave-Current Interactions (IWCI): from linear to nonlinear, incorporating rotational effects/en
dc.rights© 2024. Published under an exclusive license by AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Journal of Mathematical Physics, 65(4), 043101 and may be found at https://doi.org/10.1063/5.0176160en
dc.subjectExact and explicit solutionen
dc.subjectLagrangianen
dc.subjectGeophysicalen
dc.subjectInternal water wavesen
dc.subjectTransport propertiesen
dc.subjectCoriolis effectsen
dc.subjectWave mechanicsen
dc.subjectGeodesyen
dc.subjectOceanographyen
dc.subjectFunctions and functionalsen
dc.subjectPerturbation analysisen
dc.subjectEquations of fluid dynamicsen
dc.subjectInternal wavesen
dc.subjectGeophysical fluid dynamicsen
dc.titleNonhydrostatic internal waves in the presence of mean currents and rotationen
dc.typeArticle (peer-reviewed)en
oaire.citation.issue4en
oaire.citation.volume65en
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