2011/02/01 by Michael Wilczek, M. Wilczek, Anton Daitche +3 · 1 citation
Engineering · Physics and Astronomy · #Combustion and flame dynamics #Dissipation #Fluid Dynamics and Turbulent Flows #Forcing (mathematics) #Homogeneous isotropic turbulence #Isotropy #K-omega turbulence model #Large deviations theory #Probability density function #Statistical Mechanics and Entropy #Turbulence #physics.flu-dyn
paper · pdf · doi:10.1209/0295-5075/93/34003
published as EPL, 93 (2011) 34003 · 6 pages, 4 figures, corrected typo in eq. (4)
openalex publication_date 2011/02/01 · arxiv created 2011/02/17 · arxiv updated 2011/02/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the single-point velocity probability density function (PDF) in three-dimensional fully developed homogeneous isotropic turbulence within the framework of PDF equations focussing on deviations from Gaussianity. A joint analytical and numerical analysis shows that these deviations may be quantified studying correlations of dynamical quantities like pressure gradient, external forcing and energy dissipation with the velocity. A stationary solution for the PDF equation in terms of these quantities is presented, and the theory is validated with the help of direct numerical simulations indicating sub-Gaussian tails of the PDF.