1999/06/09 by G. Boffetta, Antonio Celani, A. Celani +2 · 9 citations
Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Cascade #Energy cascade #Fluid Dynamics and Turbulent Flows #Gaussian #Geometry #Intermittency #Inverse #Mathematical analysis #Mathematics #Mechanics #Physics #Quantum mechanics #Scaling #Skewness #Statistical Mechanics and Entropy #Statistical physics #Statistics #Turbulence #Wind and Air Flow Studies #chao-dyn #nlin.CD
paper · pdf · doi:10.1103/physreve.61.r29
4 pages, 6 figures
arxiv created 1999/06/09 · openalex publication_date 2000/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
High-resolution numerical simulations of stationary inverse energy cascade in two-dimensional turbulence are presented. Deviations from Gaussian behavior of velocity differences statistics are quantitatively investigated. The level of statistical convergence is pushed enough to permit reliable measurement of the asymmetries in the probability distribution functions of longitudinal increments and odd-order moments, which bring the signature of the inverse energy flux. No measurable intermittency corrections could be found in their scaling laws. The seventh order skewness increases by almost two orders of magnitude with respect to the third, thus becoming of order unity.