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A 3D minimum enstrophy vortex in stratified quasi-geostrophic flows
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dc.contributor.author | Barabinot, Yan | |
dc.contributor.author | Reinaud, Jean Noel | |
dc.contributor.author | Carton, Xavier | |
dc.contributor.author | de Marez, Charly | |
dc.contributor.author | Meunier, Thomas | |
dc.date.accessioned | 2024-05-03T14:30:15Z | |
dc.date.available | 2024-05-03T14:30:15Z | |
dc.date.issued | 2024-05-10 | |
dc.identifier | 301047108 | |
dc.identifier | b96de625-76da-4052-880f-9f404734b91d | |
dc.identifier | 85192997356 | |
dc.identifier.citation | Barabinot , Y , Reinaud , J N , Carton , X , de Marez , C & Meunier , T 2024 , ' A 3D minimum enstrophy vortex in stratified quasi-geostrophic flows ' , Journal of Fluid Mechanics , vol. 986 , R1 . https://doi.org/10.1017/jfm.2024.336 | en |
dc.identifier.issn | 0022-1120 | |
dc.identifier.other | ORCID: /0000-0001-5449-6628/work/159010133 | |
dc.identifier.uri | https://hdl.handle.net/10023/29807 | |
dc.description.abstract | Applying a variational analysis, a minimum-enstrophy vortex in three-dimensional (3-D) fluids with continuous stratification is found, under the quasi-geostrophic hypothesis. The buoyancy frequency is held constant. This vortex is an ideal limiting state in a flow with an enstrophy decay while energy and generalized angular momentum remain fixed. The variational method used to obtain two-dimensional (2-D) minimum-enstrophy vortices is applied here to 3-D integral quantities. The solution from the first-order variation is expanded on a basis of orthogonal spherical Bessel functions. By computing second-order variations, the solution is found to be a true minimum in enstrophy. This solution is weakly unstable when inserted in a numerical code of the quasi-geostrophic equations. After a stage of linear instability, nonlinear wave interaction leads to the reorganization of this vortex into a tripolar vortex. Further work will relate our solution with maximal entropy 3-D vortices. | |
dc.format.extent | 12 | |
dc.format.extent | 755859 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of Fluid Mechanics | en |
dc.subject | Quasi-geostrophic flows | en |
dc.subject | Vortex dynamics | en |
dc.subject | Variational methods | en |
dc.subject | QC Physics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QC | en |
dc.title | A 3D minimum enstrophy vortex in stratified quasi-geostrophic flows | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.identifier.doi | 10.1017/jfm.2024.336 | |
dc.description.status | Peer reviewed | en |
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