# Chaotic quasi-point vortices and inertial range in two-dimensional   turbulence

**Authors:** A. Bershadskii

arXiv: 1906.05216 · 2022-08-10

## TL;DR

This paper investigates the influence of quasi-point vortices on the inertial range in two-dimensional turbulence, combining numerical simulations, atmospheric measurements, and theoretical models across classical and quantum regimes.

## Contribution

It introduces a comprehensive analysis of quasi-point vortices' effects on turbulence across classical, quantum, and atmospheric contexts using diverse simulation and experimental data.

## Key findings

- Quasi-point vortices significantly affect the inertial range dynamics.
- Results show consistency across classical and quantum turbulence models.
- Atmospheric data supports the theoretical predictions.

## Abstract

Effects of quasi-point vortices on the inertial range of scales in homogeneous two-dimensional turbulence (classic and quantum) have been studied using the notion of distributed chaos. Results of direct numerical simulations of decaying turbulence, turbulence with small-scale forcing, and turbulent thermal convection on a sphere as well as results of the Global Atmospheric Sampling Program (GASP) measurements in the tropospheric and stratospheric turbulence over mountainous terrain (the small-scale forcing) have been used for this purpose. The superfluid and Bose-Einstein two-dimensional turbulence have been discussed in this context using the results of direct numerical simulations of the HVBK and Gross-Pitaevskii models, and the laboratory experiments. The Ginsburg-Landau model was also briefly discussed.

## Full text

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## Figures

14 figures with captions in the complete paper: https://tomesphere.com/paper/1906.05216/full.md

## References

41 references — full list in the complete paper: https://tomesphere.com/paper/1906.05216/full.md

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Source: https://tomesphere.com/paper/1906.05216