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dc.contributor.authorDritschel, David Gerard
dc.contributor.authorReinaud, Jean Noel
dc.contributor.authorMcKiver, William J
dc.identifier.citationDritschel , D G , Reinaud , J N & McKiver , W J 2004 , ' The quasi-geostrophic ellipsoidal vortex model ' Journal of Fluid Mechanics , vol 505 , pp. 201-223 . DOI: 10.1017/S0022112004008377en
dc.identifier.otherPURE: 253331
dc.identifier.otherPURE UUID: 700a2d61-79f0-4b39-887c-8c50ec57c83b
dc.identifier.otherWOS: 000221652500010
dc.identifier.otherScopus: 1842437912
dc.description.abstractWe present a simple approximate model for studying general aspects of vortex interactions in a rotating stably-stratified fluid. The model idealizes vortices by ellipsoidal volumes of uniform potential vorticity, a materially conserved quantity in an inviscid, adiabatic fluid. Each vortex thus possesses 9 degrees of freedom, 3 for the centroid and 6 for the shape and orientation. Here, we develop equations for the time evolution of these quantities for a general system of interacting vortices. An isolated ellipsoidal vortex is well known to remain ellipsoidal in a fluid with constant background rotation and uniform stratification, as considered here. However, the interaction between any two ellipsoids in general induces weak non-ellipsoidal perturbations. We develop a unique projection method, which follows directly from the Hamiltonian structure of the system, that effectively retains just the part of the interaction which preserves ellipsoidal shapes. This method does not use a moment expansion, e.g. local expansions of the flow in a Taylor series. It is in fact more general, and consequently more accurate. Comparisons of the new model with the full equations of motion prove remarkably close.en
dc.relation.ispartofJournal of Fluid Mechanicsen
dc.rights(c) 2004 Cambridge University Pressen
dc.subjectStratified fluiden
dc.subjectElliptic modelen
dc.subjectQA Mathematicsen
dc.titleThe quasi-geostrophic ellipsoidal vortex modelen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.description.statusPeer revieweden

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