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dc.contributor.authorReinaud, Jean Noel
dc.contributor.authorSokolovskiy, Mikhail
dc.contributor.authorCarton, Xavier
dc.date.accessioned2017-03-07T16:30:14Z
dc.date.available2017-03-07T16:30:14Z
dc.date.issued2017-03
dc.identifier.citationReinaud , J N , Sokolovskiy , M & Carton , X 2017 , ' Geostrophic tripolar vortices in a two-layer fluid : linear stability and nonlinear evolution of equilibria ' , Physics of Fluids , vol. 29 , no. 3 , 036601 . https://doi.org/10.1063/1.4978806en
dc.identifier.issn1070-6631
dc.identifier.otherPURE: 249310565
dc.identifier.otherPURE UUID: 270e5083-8887-41c5-97b6-c23c5f2045e1
dc.identifier.otherScopus: 85016241990
dc.identifier.otherORCID: /0000-0001-5449-6628/work/34852196
dc.identifier.otherWOS: 000397874300035
dc.identifier.urihttps://hdl.handle.net/10023/10411
dc.description.abstractWe investigate equilibrium solutions for tripolar vortices in a two-layer quasi-geostrophic flow. Two of the vortices are like-signed and lie in one layer. An opposite-signed vortex lies in the other layer. The families of equilibria can be spanned by the distance (called separation) between the two like-signed vortices. Two equilibrium configurations are possible when the opposite-signed vortex lies between the two other vortices. In the first configuration (called ordinary roundabout), the opposite signed vortex is equidistant to the two other vortices. In the second configuration (eccentric roundabouts), the distances are unequal. We determine the equilibria numerically and describe their characteristics for various internal deformation radii. The two branches of equilibria can co-exist and intersect for small deformation radii. Then, the eccentric roundabouts are stable while unstable ordinary roundabouts can be found. Indeed, ordinary roundabouts exist at smaller separations than eccentric roundabouts do, thus inducing stronger vortex interactions. However, for larger deformation radii, eccentric roundabouts can also be unstable. Then, the two branches of equilibria do not cross. The branch of eccentric roundabouts only exists for large separations. Near the end of the branch of eccentric roundabouts (at the smallest separation), one of the like-signed vortices exhibits a sharp inner corner where instabilities can be triggered. Finally, we investigate the nonlinear evolution of a few selected cases of tripoles.
dc.format.extent16
dc.language.isoeng
dc.relation.ispartofPhysics of Fluidsen
dc.rightsCopyright © 2017, the Author(s). This work has been made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1063/1.4978806en
dc.subjectStationery statesen
dc.subjectTwo-layer quasi-geostrophic flowsen
dc.subjectTritonen
dc.subjectTripoleen
dc.subjectRound-abouten
dc.subjectQA Mathematicsen
dc.subjectQC Physicsen
dc.subjectNDASen
dc.subjectBDCen
dc.subject.lccQAen
dc.subject.lccQCen
dc.titleGeostrophic tripolar vortices in a two-layer fluid : linear stability and nonlinear evolution of equilibriaen
dc.typeJournal articleen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Scottish Oceans Instituteen
dc.identifier.doihttps://doi.org/10.1063/1.4978806
dc.description.statusPeer revieweden


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