The approach to vortex reconnection
Richard Tebbs, Anthony J. Youd, and Carlo F. Barenghi

TL;DR
This paper presents numerical solutions to the Gross--Pitaevskii equation to study vortex reconnection, analyzing vortex separation over time and the formation of pyramidal structures, with comparisons to analytical and filament method studies.
Contribution
It introduces detailed numerical solutions of vortex reconnection using the Gross--Pitaevskii equation, highlighting vortex separation dynamics and structural formations.
Findings
Vortex separation follows a specific temporal pattern during reconnection.
Pyramidal vortex structures form during the reconnection process.
Results align with analytical predictions and filament method simulations.
Abstract
We present numerical solutions of the Gross--Pitaevskii equation corresponding to reconnecting vortex lines. We determine the separation of vortices as a function of time during the approach to reconnection, and study the formation of pyramidal vortex structures. Results are compared with analytical work and numerical studies based on the vortex filament method.
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