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Leapfrogging Kelvin waves

Lookup NU author(s): Professor Carlo Barenghi



This is the authors' accepted manuscript of an article that has been published in its final definitive form by American Physical Society, 2016.

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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.

Publication metadata

Author(s): Hietala N, Hänninen R, Salman H, Barenghi CF

Publication type: Article

Publication status: Published

Journal: Physical Review Fluids

Year: 2016

Volume: 1

Issue: 8

Print publication date: 01/12/2016

Online publication date: 05/12/2016

Acceptance date: 02/04/2016

Date deposited: 30/03/2017

ISSN (electronic): 2469-990X

Publisher: American Physical Society


DOI: 10.1103/PhysRevFluids.1.084501


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