paper

Is the Scaling of Supersonic Turbulence Universal?

arXiv:0810.1397 · doi:10.1103/PhysRevLett.101.194505

Abstract

The statistical properties of turbulence are considered to be universal at sufficiently small length scales, i. e., independent of boundary conditions and large-scale forces acting on the fluid. Analyzing data from numerical simulations of supersonic turbulent flow driven by external forcing, we demonstrate that this is not generally true for the two-point velocity statistics of compressible turbulence. However, a reformulation of the refined similarity hypothesis in terms of the mass-weighted velocity rho^(1/3)v yields scaling laws that are almost insensitive to the forcing. The results imply that the most intermittent dissipative structures are shocks closely following the scaling of Burgers turbulence.

arXiv comment4 pages, 6 figures, accepted for publication by Phys. Rev. Lett

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