Intermittency and Universality in Fully Developed Inviscid and Weakly Compressible Turbulent Flows

Roberto Benzi, Luca Biferale, Robert T. Fisher, Leo P. Kadanoff, Donald Q. Lamb, and Federico Toschi
Phys. Rev. Lett. 100, 234503 – Published 12 June 2008

Abstract

We perform high-resolution numerical simulations of homogenous and isotropic compressible turbulence, with an average 3D Mach number close to 0.3. We study the statistical properties of intermittency for velocity, density, and entropy. For the velocity field, which is the only quantity that can be compared to the isotropic incompressible case, we find no statistical differences in its behavior in the inertial range due either to the slight compressibility or to the different dissipative mechanism. For the density field, we find evidence of “frontlike” structures, although no shocks are produced by the simulation.

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  • Received 6 September 2007

DOI:https://doi.org/10.1103/PhysRevLett.100.234503

©2008 American Physical Society

Authors & Affiliations

Roberto Benzi1, Luca Biferale1, Robert T. Fisher2, Leo P. Kadanoff3, Donald Q. Lamb2, and Federico Toschi4

  • 1Dip. Fisica and INFN Università di “Tor Vergata” Via della Ricerca Scientifica 1, 00133 Roma, Italy
  • 2Center for Astrophysical Thermonuclear Flashes, The University of Chicago, Chicago, Illinois 60637, USA and Department of Astronomy and Astrophysics, The University of Chicago, Chicago, Illinois 60637, USA
  • 3Department of Physics, The University of Chicago, Chicago, Illinois 60637 , USA and Department of Mathematics, The University of Chicago, Chicago, Illinois 60637, USA
  • 4Istituto Applicazioni Calcolo CNR, Viale del Policlinico 137, 00161 Roma, Italy and INFN Ferrara, Via G. Saragat 1, I-44100 Ferrara, Italy

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Issue

Vol. 100, Iss. 23 — 13 June 2008

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