Extended self-similarity in the numerical simulation of three-dimensional homogeneous flows

Abstract

We report the statistical analysis of several velocity configurations obtained by performing numerical simulations of three-dimensional homogeneous incompressible turbulence. This analysis provides full support to the idea, recently proposed by Benzi et al. [Phys. Rev. E 48, 29 (1993)], that fluid flows exhibit extended self-similarity, a sort of generalized scale invariance, which holds at high as well as at low-to-moderate Reynolds numbers.