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Hetonic quartets in a two-layer quasi-geostrophic flow : V-states and stability

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Reinaud_2018_PF_Hetonicquartets_AAM.pdf (385.2Kb)
Date
11/05/2018
Author
Reinaud, J. N.
Sokolovskiy, Mikhail
Carton, Xavier
Keywords
Four vortex interaction
Hetonic quartet
Two-layer quasi-geostrophy
V-state
QC Physics
QE Geology
GC Oceanography
QA Mathematics
NDAS
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Abstract
We investigate families of finite core vortex quartets in mutual equilibrium in a two- layer quasi-geostrophic flow. The finite core solutions stem from known solutions for discrete (singular) vortex quartets. Two vortices lie in the top layer and two vortices lie in the bottom layer. Two vortices have a positive potential vorticity anomaly while the two others have negative potential vorticity anomaly. The vortex configurations are therefore related to the baroclinic dipoles known in the literature as hetons. Two main branches of solutions exist depending on the arrangement of the vortices: the translating zigzag-shaped hetonic quartets and the rotating zigzag- shaped hetonic quartets. By addressing their linear stability, we show that while the rotating quartets can be unstable over a large range of the parameter space, most translating quartets are stable. This has implications on the longevity of such vortex equilibria in the oceans.
Citation
Reinaud , J N , Sokolovskiy , M & Carton , X 2018 , ' Hetonic quartets in a two-layer quasi-geostrophic flow : V-states and stability ' , Physics of Fluids , vol. 30 , 056602 . https://doi.org/10.1063/1.5027181
Publication
Physics of Fluids
Status
Peer reviewed
DOI
https://doi.org/10.1063/1.5027181
ISSN
1070-6631
Type
Journal article
Rights
© 2018 The Author(s). Published by AIP Publishing. 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 https://doi.org/10.1063/1.5027181
Description
M.A.S. and X.C. were supported by RFBR/CNRS (PRC Grant No. 16-55-150001/1069). M.A.S. was supported also by RFBR (Grant No. 16-05-00121), RSF (Grant No. 14-50-00095, geophysical applications) and MESRF (Grant No. 14.W.03.31.0006, numerical simulation, vortex dynamics).
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/13247

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