The sensitivity of the vortex filament method to different reconnection models

TL;DR

This paper investigates how different vortex reconnection algorithms affect quantum turbulence simulations, revealing that Biot-Savart-based results are robust to reconnection models, unlike LIA-based results.

Contribution

It provides a comparative analysis of four reconnection algorithms within vortex filament simulations, highlighting their impact on turbulence modeling.

Findings

Biot-Savart simulations are insensitive to reconnection models.

LIA simulations are sensitive to the choice of reconnection algorithm.

Reconnection modeling affects vortex dynamics in LIA-based turbulence simulations.

Abstract

We present a detailed analysis on the effect of using different algorithms to model the reconnection of vortices in quantum turbulence, using the thin-filament approach. We examine differences between four main algorithms for the case of turbulence driven by a counterflow. In calculating the velocity field we use both the local induction approximation (LIA) and the full Biot-Savart integral. We show that results of Biot-Savart simulations are not sensitive to the particular reconnection method used, but LIA results are.