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dc.contributor.authorReinaud, Jean Noel
dc.contributor.authorDritschel, David Gerard
dc.date.accessioned2010-12-01T14:24:08Z
dc.date.available2010-12-01T14:24:09Z
dc.date.issued2005-01-10
dc.identifier.citationReinaud , J N & Dritschel , D G 2005 , ' The critical merger distance between two co-rotating quasi-geostrophic vortices ' Journal of Fluid Mechanics , vol. 522 , pp. 357-381 . https://doi.org/10.1017/S0022112004002022en
dc.identifier.issn0022-1120
dc.identifier.otherPURE: 253429
dc.identifier.otherPURE UUID: 09f95ff0-795f-45b7-aca9-29f0350f2b01
dc.identifier.otherWOS: 000227075100014
dc.identifier.otherScopus: 13444293042
dc.identifier.otherORCID: /0000-0001-5449-6628/work/34852207
dc.identifier.urihttp://hdl.handle.net/10023/1558
dc.description.abstractThis paper examines the critical merger or strong interaction distance between two equal-potential-vorticity quasi-geostrophic vortices. The interaction between the two vortices depends on five parameters: their volume ratio, their height-to-width aspect ratios and their vertical and horizontal offsets. Due to the size of the parameter space, a direct investigation solving the full quasi-geostrophic equations is impossible. We instead determine the critical merger distance approximately using an asymptotic approach. We associate the merger distance with the margin of stability for a family of equilibrium states having prescribed aspect and volume ratios, and vertical offset. The equilibrium states are obtained using an asymptotic solution method which models vortices by ellipsoids. The margin itself is determined by a linear stability analysis. We focus on the interaction between oblate to moderately prolate vortices, the shapes most commonly found in turbulence. Here, a new unexpected instability is found and discussed for prolate vortices which is manifested by the tilting of vortices toward each other. It implies than tall vortices may merge starting from greater separation distances than previously thought.
dc.format.extent25
dc.language.isoeng
dc.relation.ispartofJournal of Fluid Mechanicsen
dc.rights(c)2005 Cambridge University Pressen
dc.subjectEllipsoidal vortex modelen
dc.subjectStratified fluiden
dc.subjectFlowsen
dc.subjectTurbulenceen
dc.subjectShearen
dc.subjectQA Mathematicsen
dc.subject.lccQAen
dc.titleThe critical merger distance between two co-rotating quasi-geostrophic vorticesen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews.Applied Mathematicsen
dc.identifier.doihttps://doi.org/10.1017/S0022112004002022
dc.description.statusPeer revieweden
dc.identifier.urlhttp://www.scopus.com/inward/record.url?scp=13444293042&partnerID=8YFLogxK


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