Coherent laminar and turbulent motion of toroidal vortex bundles
arXiv:1401.6468 · doi:10.1063/1.4864659
Abstract
Motivated by experiments performed in superfluid helium, we study numerically the motion of toroidal bundles of vortex filaments in an inviscid fluid. We find that the evolution of these large-scale vortex structures involves the generalised leapfrogging of the constituent vortex rings. Despite three dimensional perturbations in the form of Kelvin waves and vortex reconnections, toroidal vortex bundles retain their coherence over a relatively large distance (compared to their size), in agreement with experimental observations.
22 pages, 12 figures
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Cited by in corpus (18)
- Quantum Analogs of Classical Wakes in Bose-Einstein Condensates
- Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates: Existence, Stability and Dynamics
- Scattering and leapfrogging of vortex rings in a superfluid
- Friction-enhanced lifetime of bundled quantum vortices
- Quasi-stable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates
- Interactions between unidirectional quantized vortex rings
- Helicity in Superfluids: existence and the classical limit
- Symmetry-breaking instability of leapfrogging vortex rings in a Bose-Einstein condensate
- Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach
- Large-scale superfluid vortex rings at nonzero temperatures
- Three-dimensional stability of leapfrogging quantum vortex rings
- Leapfrogging Kelvin waves
- Classical and quantum vortex leapfrogging in two-dimensional channels
- Kelvin Waves and Dynamic Knots on Vortex-Membrane
- Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links
- Superfluid drain vortex
- Knot Physics on Entangled Vortex-Membranes: Classification, Dynamics and Effective Theory
- Controlled generation of 3D vortices in driven atomic Josephson junctions