Leapfrogging Kelvin waves

Hietala, Niklas, Hanninen, Risto, Salman, Hayder and Barenghi, Carlo F. (2016) Leapfrogging Kelvin waves. Physical Review Fluids, 1. ISSN 2469-990X

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Abstract

Two vortex rings can form a localized configuration whereby they continually pass through one another in an alternating fashion. This phenomenon is called leapfrogging. Using parameters suitable for superfluid helium-4, we describe a recurrence phenomenon that is similar to leapfrogging, which occurs for two coaxial straight vortex filaments with the same Kelvin wave mode. For small-amplitude Kelvin waves we demonstrate that our full Biot-Savart simulations closely follow predictions obtained from a simplified model that provides an analytical approximation developed for nearly parallel vortices. Our results are also relevant to thin-cored helical vortices in classical fluids.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Related URLs:
Depositing User: Pure Connector
Date Deposited: 09 Dec 2016 00:06
Last Modified: 22 Apr 2020 02:08
URI: https://ueaeprints.uea.ac.uk/id/eprint/61672
DOI: 10.1103/PhysRevFluids.1.084501

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