Flux Correlations in Supersonic Isothermal Turbulence
Abstract
Using data from a large-scale three-dimensional simulation of supersonic isothermal turbulence, we have tested the validity of an exact flux relation derived analytically from the Navier--Stokes equation by Falkovich, Fouxon and Oz [2010 New relations for correlation functions in Navier--Stokes turbulence. J. Fluid Mech. 644, 465]. That relation, for compressible barotropic fluids, was derived assuming turbulence generated by a large-scale force. However, compressible turbulence in simulations is usually initialized and maintained by a large-scale acceleration, as in gravity-driven astrophysical flows. We present a new approximate flux relation for isothermal turbulence driven by a large-scale acceleration, and find it in reasonable agreement with the simulation results.
Cite
@article{arxiv.1209.2164,
title = {Flux Correlations in Supersonic Isothermal Turbulence},
author = {Rick Wagner and Gregory Falkovich and Alexei G. Kritsuk and Michael L. Norman},
journal= {arXiv preprint arXiv:1209.2164},
year = {2012}
}
Comments
10 pages, 5 figures, accepted for publication in the Journal of Fluid Mechanics