Stability and evolution of two opposite-signed quasi-geostrophic shallow-water vortex patches
Date
2020Metadata
Show full item recordAbstract
We examine the equilibrium forms, linear stability and nonlinear evolution of two patches having opposite-signed, uniform potential vorticity anomalies in a single-layer shallow-water flow, under the quasi-geostrophic approximation. We widely vary the vortex area ratio, the potential vorticity anomaly ratio, as well as the Rossby deformation length to unravel the full complexity of possible interactions in this system. Opposite-signed vortex interactions turn out to be far richer than their like-signed counterparts, comprehensively examined in a previous study (Jalali and Dritschel 2018, Geophys. Astrophys. Fluid Dyn. 2018, 112 , 375). Unstable equilibria may evolve into a myriad of forms, many unsteady and aperiodic, and the original two vortex patches may break up into many patches which survive for long times, perhaps indefinitely.
Citation
Jalali , M M & Dritschel , D G 2020 , ' Stability and evolution of two opposite-signed quasi-geostrophic shallow-water vortex patches ' , Geophysical & Astrophysical Fluid Dynamics , vol. 114 , no. 4-5 , pp. 561-587 . https://doi.org/10.1080/03091929.2020.1756283
Publication
Geophysical & Astrophysical Fluid Dynamics
Status
Peer reviewed
ISSN
0309-1929Type
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/10.1080/03091929.2020.1756283.
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