Three-dimensional turbulent relative dispersion by the Gledzer-Ohkitani-Yamada shell model

TL;DR

This paper investigates turbulent pair dispersion using the Gledzer-Ohkitani-Yamada shell model, demonstrating its ability to replicate key dispersion regimes and analyzing crossover times in high Reynolds number flows.

Contribution

It introduces a novel application of the GOY shell model in real space to study turbulent dispersion and compares its predictions with classical theories.

Findings

Successfully reproduces Batchelor and Richardson-Obukhov regimes

Analyzes crossover time scales with initial separation

Validates GOY shell model for turbulent dispersion studies

Abstract

We study pair dispersion in a three-dimensional incompressible high Reynolds number turbulent flow generated by Fourier transforming the dynamics of the Gledzer-Ohkitani-Yamada (GOY) shell model into real space. We show that GOY shell model can successfully reproduce both the Batchelor and the Richardson-Obukhov regimes of turbulent relative dispersion. We also study how the crossover time scales with the initial separations of a particle pair and compare it to the prediction by Batchelor.