Effect of finite Reynolds number on self-similar crossing statistics and fractal measurements in turbulence

Abstract

Single-point measurements of turbulent flows are often reduced to a binary zero-crossing signal to investigate parameters related to self-similarity, fractality, and intermittency. The present stochastic simulations demonstrate the influence of a finite Reynolds number on the apparent scale-dependence of power law exponents for these parameters. The behavior is a statistical consequence of finite-size effects created by a limited range of scales exhibiting a power law.