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Flux correlations in supersonic isothermal turbulence

Published online by Cambridge University Press:  17 October 2012

R. Wagner ,
G. Falkovich ,
A. G. Kritsuk  and
M. L. Norman
R. Wagner*
Affiliation:
San Diego Supercomputer Center, University of California, San Diego, MC 0505, 10100 Hopkins Drive, La Jolla, CA 92093-0505, USA
G. Falkovich
Affiliation:
Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel
A. G. Kritsuk
Affiliation:
Department of Physics and Center for Astrophysics and Space Sciences, University of California, San Diego, MC 0424, 9500 Gilman Drive, La Jolla, CA 92093-0424, USA
M. L. Norman
Affiliation:
San Diego Supercomputer Center, University of California, San Diego, MC 0505, 10100 Hopkins Drive, La Jolla, CA 92093-0505, USA Department of Physics and Center for Astrophysics and Space Sciences, University of California, San Diego, MC 0424, 9500 Gilman Drive, La Jolla, CA 92093-0424, USA
*
†Email address for correspondence: [email protected]
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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 & Oz (J. Fluid Mech., vol. 644, 2010, p. 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.

JFM classification

Turbulent Flows: Compressible turbulence Turbulent Flows: Turbulence simulation Turbulent Flows: Turbulence theory
Type
Papers
Information
Journal of Fluid Mechanics , Volume 713 , 25 December 2012 , pp. 482 - 490
Copyright
©2012 Cambridge University Press

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