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Local properties of extended self-similarity in 3D turbulence

Daigen Fukayama·Tohru Nakano·Alexander Bershadskii·Toshiyuki Gotoh
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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 $R_λ$.

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Daigen Fukayama, Tohru Nakano, Alexander Bershadskii, Toshiyuki Gotoh. 2001-02-24. Local properties of extended self-similarity in 3D turbulence. https://doi.org/10.1103/physreve.64.016304

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