title: Anisotropic homogeneous turbulence: hierarchy and intermittency of scaling exponents in the anisotropic sectors.
abstract: We present the first measurements of anisotropic statistical fluctuations in perfectly homogeneous turbulent flows. We address both problems of intermittency in anisotropic sectors and hierarchical ordering of anisotropies on a direct numerical simulation of a three dimensional random Kolmogorov flow. We achieved an homogeneous and anisotropic statistical ensemble by randomly shifting the forcing phases. We observe high intermittency as a function of the order of the velocity correlation within each fixed anisotropic sector and a hierarchical organization of scaling exponents at fixed order of the velocity correlation at changing the anisotropic sector.
authors.affiliation: Dipartimento di Fisica and INFM, Università Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Rome, Italy.
authors.forename: L
authors.initials: L
authors.lastname: Biferale
authors.forename: F
authors.initials: F
authors.lastname: Toschi