On the repeatability of turbulence

TL;DR

This study experimentally investigates the repeatability of turbulence in a controlled setting, revealing that large scales are highly repeatable while small scales behave as independent random variables.

Contribution

It provides the first extensive experimental evidence on the repeatability of decaying turbulence, especially distinguishing behavior of large and small scales.

Findings

Large energy-carrying scales show significant repeatability.

Small scales can be modeled as independent random variables.

Experimental results support current numerical modeling approaches.

Abstract

Turbulence has strong and seemingly random fluctuations. Assessing its repeatability is key to predicting flows in technology and nature, much of which decay as viscosity dissipates energy. Much has been done to this end since the work of Lorenz, but mostly in theory and simulations. Here we present experimental results from the Max Planck Variable Density Turbulence Tunnel where we generated decaying turbulence using an active grid, repeating the process with nominally identical initial conditions up to 30,000 times. In contrast with the case of stationary turbulence we found that the energy-carrying large scales show significant repeatability, irrespective of flow development time and turbulence strength. Small scales, however, can effectively be modeled by independent random variables, supporting current numerical approaches in which they are parametrised.