Velocity and Velocity-Difference Distributions in Burgers Turbulence

2003/05/31 by Stanislav Boldyrev, S. Boldyrev, T. Linde +2 · 1 citation
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Theoretical and Computational Physics #astro-ph #cond-mat #hep-th #nlin.CD #physics.flu-dyn

paper · pdf · doi:10.1103/physrevlett.93.184503

published as Phys.Rev.Lett. 93 (2004) 184503 · 4 pages, 3 figures, improved numerics, matches the published version

openalex publication_date 2004/10/28 · arxiv created 2004/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the one-dimensional Burgers equation randomly stirred at large scales by a Gaussian short-time correlated force. Using the method of dissipative anomalies, we obtain velocity and velocity-difference probability density functions and confirm the results with high-resolution numerical simulations.

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