# Reconnection of Vortex Tubes with Axial Flow

## TL;DR

This study uses numerical simulations to explore how vortex tubes with axial flow reconnect differently depending on their twist, revealing complex 3D and 2D reconnection behaviors influenced by the twist's sense.

## Contribution

It provides a detailed analysis of vortex reconnection topology in twisted vortex tubes, highlighting differences between same and opposite twist cases and the effects of increasing twist.

## Key findings

- Reconnection topology varies significantly with twist sense.
- Same-sense twist leads to fully 3D reconnection with vortex null points.
- Opposite-sense twist results in locally 2D reconnection along null lines.

## Abstract

This paper addresses the interaction of initially anti-parallel vortex tubes containing an axial flow that induces a twisting of the vortex lines around the tube axes, using numerical simulations. Vortex tube configurations with both the same and opposite senses of twist -- corresponding to same and opposite signs of kinetic helicity density -- are considered. It is found that the topology of the reconnection process is very different between the two cases. For tubes with the same sense of twist, the reconnection is fully three-dimensional (3D): vortex lines reconnect at a finite angle, and 3D vortex null points may be created. Following reconnection the vortex line topology in both bridge and thread structures exhibits a high degree of complexity. For oppositely-twisted tubes the reconnection is locally two-dimensional, occurring along vorticity null lines, that in contrast to the untwisted case are not perpendicular to the tube axes. This leads to a break in the symmetry between the two vortex bridges generated during reconnection. For all cases studied, increasing the twist in the vortex tubes leads to a later, faster, and more complete reconnection process.