Topological characterization of flow structures in resistive pressure-gradient-driven turbulence

TL;DR

This paper introduces a quantitative topological method to analyze flow structures in resistive pressure-gradient-driven turbulence, enhancing understanding beyond traditional visualization techniques.

Contribution

It presents a novel approach to quantitatively characterize flow topology applicable to various turbulence types, demonstrated on resistive ballooning instabilities.

Findings

Provides a new quantitative tool for flow structure analysis

Applicable to different turbulence regimes

Enhances understanding of turbulence topology

Abstract

Visualization of turbulent flows is a powerful tool to help understand the turbulence dynamics and induced transport. However, it does not provide a quantitative description of the observed structures. In this paper, an approach to characterize quantitatively the topology of the flows is given. The technique, which can be applied to any type of turbulence dynamics, is illustrated through the example of resistive ballooning instabilities.