Dynamic Multiscaling in Turbulence

TL;DR

This paper reviews recent advances in understanding dynamic multiscaling in homogeneous, isotropic turbulence, highlighting its universality and similarities with critical phenomena, supported by simulations of the GOY shell model.

Contribution

It provides a comprehensive overview of dynamic multiscaling in turbulence and demonstrates the universality of exponents through detailed shell model simulations.

Findings

Dynamic multiscaling exhibits universality across turbulent flows.

Simulations of the GOY shell model support theoretical predictions.

The problem shares similarities with critical phenomena in statistical physics.

Abstract

We give an overview of the progress that has been made in recent years in understanding the dynamic multiscaling of homogeneous, isotropic turbulence and related problems. We emphasise the similarity of this problem with the dynamic scaling of time-dependent correlation functions in the vicinity of a critical point in, e.g., a spin system. The universality of dynamic-multiscaling exponents in fluid turbulence is explored by detailed simulations of the GOY shell model for fluid turbulence.