2008/08/31 by Liubin Pan, Paolo Padoan, Alexei G. Kritsuk · 37 citations
Engineering · Physics and Astronomy · #Classical mechanics #Combustion and flame dynamics #Computational Fluid Dynamics and Aerodynamics #Dissipative system #Fluid Dynamics and Turbulent Flows #Mechanics #Physics #Quantum mechanics #Statistical physics #Supersonic speed #Turbulence #astro-ph
paper · pdf · doi:10.1103/physrevlett.102.034501
published in Physical Review Letters 102(3), 034501 (American Physical Society) · 4 pages, 3 figures, accepted by Phys. Rev. Lett
arxiv created 2009/01/17 · openalex publication_date 2009/01/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that density-weighted moments of the dissipation rate, epsilonl, averaged over a scale l, in supersonic turbulence can be successfully explained by the She and Lévêque model [Phys. Rev. Lett. 72, 336 (1994)]. A general method is developed to measure the two parameters of the model, gamma and d, based directly on their physical interpretations as the scaling exponent of the dissipation rate in the most intermittent structures (gamma) and the dimension of the structures (d). We find that the best-fit parameters (gamma=0.71 and d=1.90) derived from the epsilonl scalings in a simulation of supersonic turbulence at Mach 6 agree with their direct measurements, confirming the validity of the model in supersonic turbulence.