Local properties of extended self-similarity in 3D turbulence

Abstract

Using a generalization of extended self-similarity we have studied local scaling properties of 3D turbulence in a direct numerical simulation. We have found that these properties are consistent with lognormal-like behavior of energy dissipation fluctuations with moderate amplitudes for space scales $r$ beginning from Kolmogorov length $η$ up to the largest scales, and in the whole range of the Reynolds numbers: $50 \leq R_λ \leq 459$. The locally determined intermittency exponent $μ(r)$ varies with $r$; it has a maximum at scale $r=14 η$, independent of $R_λ$.