Dipole dynamics in the point vortex model

Karl Lydon, Sergey Nazarenko, Jason Laurie

    Research output: Contribution to journalArticlepeer-review


    At the very heart of turbulent fluid flows are many interacting vortices that produce a chaotic and seemingly unpredictable velocity field. Gaining new insight into the complex motion of vortices and how they can lead to topological changes of flows is of fundamental importance in our strive to understand turbulence. Our aim is form an understanding of vortex interactions by investigating the dynamics of point vortex dipoles interacting with a hierarchy of vortex structures using the idealized point vortex model. Motivated by its close analogy to the dynamics of quantum vor- tices in Bose-Einstein condensates, we present new results on dipole size evolution, stability properties of vortex clusters, and the role of dipole-cluster interactions in turbulent mixing in 2D quantum turbulence. In particular, we discover a mecha- nism of rapid cluster disintegration analogous to a time-reversed self-similar vortex collapse solution.
    Original languageEnglish
    Article number385702
    Number of pages31
    JournalJournal of Physics A: Mathematical and Theoretical
    Issue number38
    Publication statusPublished - 31 Aug 2022

    Bibliographical note

    © 2022 The Author(s). Published by IOP Publishing Ltd. This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

    Funding Information:
    This work has received funding from the European Union's Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 823937 for project HALT, and the support of NVIDIA Corporation with the donation of the Titan Xp GPU used for this research.


    • vortex dynamics
    • point vortex models
    • vortex interactions
    • vortex clusters


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