Files in this item
Ring configurations of point vortices in polar atmospheres
Item metadata
dc.contributor.author | Dritschel, David Gerard | |
dc.date.accessioned | 2021-09-27T13:30:02Z | |
dc.date.available | 2021-09-27T13:30:02Z | |
dc.date.issued | 2021-09-26 | |
dc.identifier.citation | Dritschel , D G 2021 , ' Ring configurations of point vortices in polar atmospheres ' , Regular and Chaotic Dynamics , vol. 26 , no. 5 , pp. 467-481 . https://doi.org/10.1134/S1560354721050026 | en |
dc.identifier.issn | 1560-3547 | |
dc.identifier.other | PURE: 276055003 | |
dc.identifier.other | PURE UUID: 962085c0-79ff-4e90-9706-e4bd2bb6328e | |
dc.identifier.other | ORCID: /0000-0001-6489-3395/work/100901209 | |
dc.identifier.other | Scopus: 85117266244 | |
dc.identifier.other | WOS: 000705305600002 | |
dc.identifier.uri | https://hdl.handle.net/10023/24031 | |
dc.description.abstract | This paper examines the stability and nonlinear evolution of configurations of equalstrength point vortices equally spaced on a ring of constant radius, with or without a central vortex, in the three-dimensional quasi-geostrophic compressible atmosphere model. While the ring lies at constant height, the central vortex can be at a different height and also have a different strength to the vortices on the ring. All such configurations are relative equilibria, in the sense that they steadily rotate about the z axis. Here, the domains of stability for two or more vortices on a ring with an additional central vortex are determined. For a compressible atmosphere, the problem also depends on the density scale height H, the vertical scale over which the background density varies by a factor e. Decreasing H while holding other parameters fixed generally stabilises a configuration. Nonlinear simulations of the dynamics verify the linear analysis and reveal potentially chaotic dynamics for configurations having four or more vortices in total. The simulations also reveal the existence of staggered ring configurations, and oscillations between single and double ring configurations. The results are consistent with the observations of ring configurations of polar vortices seen at both of Jupiter’s poles [1]. | |
dc.language.iso | eng | |
dc.relation.ispartof | Regular and Chaotic Dynamics | en |
dc.rights | Copyright © 2021 RCD Editorial Office. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted 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/10.1134/S1560354721050026. | en |
dc.subject | Vortex dynamics | en |
dc.subject | Point vortices | en |
dc.subject | QC Physics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QC | en |
dc.title | Ring configurations of point vortices in polar atmospheres | en |
dc.type | Journal article | en |
dc.description.version | Postprint | en |
dc.contributor.institution | University of St Andrews. Marine Alliance for Science & Technology Scotland | en |
dc.contributor.institution | University of St Andrews. Scottish Oceans Institute | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.identifier.doi | https://doi.org/10.1134/S1560354721050026 | |
dc.description.status | Peer reviewed | en |
dc.identifier.url | http://rcd.ics.org.ru/ | en |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.