On the effects of surrogacy of energy dissipation in determining the intermittency exponent in fully developed turbulence

TL;DR

This paper investigates how the method of estimating energy dissipation affects the observed scaling laws in turbulence, revealing that surrogacy influences the intermittency exponent measurement.

Contribution

It demonstrates the impact of surrogacy in energy dissipation estimation on the scaling behavior of turbulence statistics.

Findings

Correlation function shows power-law scaling with mu=0.20

Integral moment scaling is limited to upper inertial range

Surrogacy affects small-scale correlation behavior

Abstract

The two-point correlation function of the energy dissipation, obtained from a one-point time record of an atmospheric boundary layer, reveals a rigorous power-law scaling with intermittency exponent mu=0.20 over almost the entire inertial range of scales. However, for the related integral moment, the power-law scaling is restricted to the upper part of the inertial range only. This observation is explained in terms of the operational surrogacy of the construction of energy dissipation, which influences the behaviour of the correlation function for small separation distances.