title: Dissipative structures in supersonic turbulence.
abstract: 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.
authors.affiliation: Department of Physics, University of California, San Diego, CASS/UCSD 0424, 9500 Gilman Drive, La Jolla, California 92093, USA.
authors.forename: Liubin
authors.initials: L
authors.lastname: Pan
authors.forename: Paolo
authors.initials: P
authors.lastname: Padoan
authors.forename: Alexei G
authors.initials: AG
authors.lastname: Kritsuk