2000/12/14 by Luca Biferale, Federico Toschi · 73 citations
Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Anisotropy #Correlation function (quantum field theory) #Fluid Dynamics and Turbulent Flows #Geometry #Hierarchy #Homogeneous #Intermittency #Mathematics #Mechanics #Particle Dynamics in Fluid Flows #Physics #Quantum mechanics #Scaling #Statistical physics #Turbulence #Wind and Air Flow Studies #nlin.CD
paper · pdf · doi:10.1103/physrevlett.86.4831
published in Physical Review Letters 86(21), 4831-4834 (American Physical Society) · 6 pages, 3 eps figures
arxiv created 2000/12/14 · openalex publication_date 2001/05/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.