Vortex filament method as a tool for computational visualization of quantum turbulence

TL;DR

This paper reviews the vortex filament method as a visualization tool for quantum turbulence in superfluid helium, highlighting its ability to reveal vortex structures and their classical-like behavior.

Contribution

It provides an overview of the vortex filament method's application to quantum turbulence, including new insights into vortex arrangements and mechanisms for coherent structure formation.

Findings

Vortices form coherent bundles under certain conditions.

Quantum turbulence exhibits classical vortex stretching.

Mechanism proposed for coherent structure generation with shear.

Abstract

Vortex filament model has become a standard and powerful tool to visualize the motion of quantized vortices in helium superfluids. In this article, we present an overview of the method and highlight its impact in aiding our understanding of quantum turbulence, particularly superfluid helium. We present an analysis of the structure and arrangement of quantized vortices. Our results are in agreement with previous studies showing that under certain conditions, vortices form coherent bundles, which allows for classical vortex stretching, giving quantum turbulence a classical nature. We also offer an explanation for differences between the observed properties of counterflow and pure superflow turbulence in a pipe. Finally, we suggest a mechanism for the generation of coherent structures in the presence of normal fluid shear.