title: Is the scaling of supersonic turbulence universal?
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 rho1/3v 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.
authors.affiliation: Lehrstuhl für Astronomie, Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany. schmidt@astro.uni-wuerzburg.de
authors.forename: Wolfram
authors.initials: W
authors.lastname: Schmidt
authors.forename: Christoph
authors.initials: C
authors.lastname: Federrath
authors.forename: Ralf
authors.initials: R
authors.lastname: Klessen