Leapfrogging Kelvin waves

Niklas Hietala, Risto Hanninen, Hayder Salman, Carlo F. Barenghi

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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.
Original languageEnglish
Article number084501
JournalPhysical Review Fluids
Publication statusPublished - 5 Dec 2016

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