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Self-similar collapse of three geophysical vortices

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Date
2021
Author
Reinaud, Jean Noel
Keywords
Quasi-geostrophy
Surface quasi-geostrophy
Vortex interactions
GE Environmental Sciences
QA Mathematics
QC Physics
T-NDAS
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Abstract
The self-similar collapse of three vortices is the motion of three vortices colliding at a single point at finite time. Such a motion has first been shown to exist for two-dimensional, planar, point vortices. In this paper, we show that the concept generalises naturally to three-dimensional quasi-geostrophic vortices as well as to surface quasi-geostrophic vortices. We first determine the conditions that lead to the collapse for these singular vortices. We then show how these conditions precipitate the merger of finite core vortices both in a three-dimensional quasi-geostrophic flow and in a surface quasi-geostrophic flow.
Citation
Reinaud , J N 2021 , ' Self-similar collapse of three geophysical vortices ' , Geophysical and Astrophysical Fluid Dynamics , vol. 115 , no. 4 , pp. 369-392 . https://doi.org/10.1080/03091929.2020.1828402
Publication
Geophysical and Astrophysical Fluid Dynamics
Status
Peer reviewed
DOI
https://doi.org/10.1080/03091929.2020.1828402
ISSN
0309-1929
Type
Journal article
Rights
Copyright © 2020 Informa UK Limited, trading as Taylor & Francis Group. 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/10.1080/03091929.2020.1828402.
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/24112

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