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dc.contributor.authorReinaud, Jean N.
dc.contributor.authorCarton, Xavier
dc.identifier.citationReinaud , J N & Carton , X 2020 , ' The alignment of two three-dimensional quasi-geostrophic vortices ' , Geophysical and Astrophysical Fluid Dynamics , vol. 114 , no. 4-5 , pp. 524-560 .
dc.identifier.otherPURE: 260407069
dc.identifier.otherPURE UUID: 95ca303e-bc9e-42d5-86d6-56e9aee78292
dc.identifier.otherORCID: /0000-0001-5449-6628/work/61133117
dc.identifier.otherScopus: 85071195215
dc.identifier.otherWOS: 000482678000001
dc.description.abstractWe consider the interaction between two quasi-geostrophic vortices of height-to-width aspect ratio h/r, lying at two different vertical levels. We investigate whether such structures naturally align. In the case the vortices occupy distinct yet contiguous vertical levels, such an alignment can contribute to the growth in volume of oceanic mesoscale vortices. The other growth mechanism is the merger of vortices sharing common vertical levels. We show that there exist titled equilibrium states where vortices nearly align slantwise. Most equilibria for prolate vortices (h/r > 1) are stable apart in a very narrow region of the parameter space. The instability is however normally non-destructive. Pairs of oblate vortices may also be in an unstable equilibria if they are moderately offset in the horizontal direction. In this case, the instability may result in the shedding of filamentary potentially vorticity away from the vortices. This shedding of potential vorticity may result in the further alignment of the main structures.
dc.relation.ispartofGeophysical and Astrophysical Fluid Dynamicsen
dc.rightsCopyright © 2019 Informa UK Limited, trading as Taylor & Francis Group. 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
dc.subjectVortex dynamicsen
dc.subjectVortex alignmenten
dc.subjectQA Mathematicsen
dc.subjectQB Astronomyen
dc.subjectQC Physicsen
dc.titleThe alignment of two three-dimensional quasi-geostrophic vorticesen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Scottish Oceans Instituteen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.description.statusPeer revieweden

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