Skip to main content
    • Aa
    • Aa

Flux correlations in supersonic isothermal turbulence

  • R. Wagner (a1), G. Falkovich (a2), A. G. Kritsuk (a3) and M. L. Norman (a1) (a3)

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.

Corresponding author
Email address for correspondence:
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

H. Aluie 2011 Compressible turbulence: the cascade and its locality. Phys. Rev. Lett. 106 (17), 174502.

H. Aluie , S. Li & H. Li 2012 Conservative cascade of kinetic energy in compressible turbulence. Astrophys. J. Lett. 751, L29.

A. Bahraminasab , M. D. Niry , J. Davoudi , M. Reza Rahimi Tabar , A. A. Masoudi & K. R. Sreenivasan 2008 Taylor’s frozen-flow hypothesis in Burgers turbulence. Phys. Rev. E 77, 065302.

R. Benzi , L. Biferale , R. T. Fisher , L. P. Kadanoff , D. Q. Lamb & F. Toschi 2008 Intermittency and universality in fully developed inviscid and weakly compressible turbulent flows. Phys. Rev. Lett. 100 (23), 234503.

A. Brandenburg & Å Nordlund 2011 Astrophysical turbulence modelling. Rep. Prog. Phys. 74 (4), 046901.

P. Colella & P. R. Woodward 1984 The piecewise parabolic method (PPM) for gas-dynamical simulations. J. Comput. Phys. 54, 174201.

B. G. Elmegreen & J. Scalo 2004 Interstellar turbulence I: observations and processes. Annu. Rev. Astron. Astrophys. 42, 211273.

S. Galtier & S. Banerjee 2011 Exact relation for correlation functions in compressible isothermal turbulence. Phys. Rev. Lett. 107 (13), 134501.

M. H. Heyer & C. M. Brunt 2004 The universality of turbulence in galactic molecular clouds. Astrophys. J. Lett. 615, L45L48.

S. Kitsionas , C. Federrath , R. S. Klessen , W. Schmidt , D. J. Price , L. J. Dursi , M. Gritschneder , S. Walch , R. Piontek , J. Kim , A.-K. Jappsen , P. Ciecielag & M.-M. Mac Low 2009 Algorithmic comparisons of decaying, isothermal, supersonic turbulence. Astron. Astrophys. 508, 541560.

A. G. Kritsuk , Å Nordlund , D. Collins , P. Padoan , M. L. Norman , T. Abel , R. Banerjee , C. Federrath , M. Flock , D. Lee , P. S. Li , W.-C. Müller , R. Teyssier , S. D. Ustyugov , C. Vogel & H. Xu 2011 Comparing numerical methods for isothermal magnetized supersonic turbulence. Astrophys. J. 737, 13.

A. G. Kritsuk , M. L. Norman , P. Padoan & R. Wagner 2007a The statistics of supersonic isothermal turbulence. Astrophys. J. 665, 416431.

A. G. Kritsuk , P. Padoan , R. Wagner & M. L. Norman 2007b Scaling laws and intermittency in highly compressible turbulence. In Turbulence and Nonlinear Processes in Astrophysical Plasmas (ed. D. Shaikh & G. P. Zank ). American Institute of Physics Conference Series, vol. 932,. pp. 393399.

C. F. McKee & E. C. Ostriker 2007 Theory of star formation. Annu. Rev. Astron. Astrophys. 45, 565687.

D. Mitra , J. Bec , R. Pandit & U. Frisch 2005 Is multiscaling an artifact in the stochastically forced Burgers equation? Phys. Rev. Lett. 94 (19), 194501.

L. Pan , P. Padoan & A. G. Kritsuk 2009 Dissipative structures in supersonic turbulence. Phys. Rev. Lett. 102 (3), 034501.

D. Porter , A. Pouquet & P. Woodward 2002 Measures of intermittency in driven supersonic flows. Phys. Rev. E 66 (2), 026301.

W. Schmidt , C. Federrath & R. Klessen 2008 Is the scaling of supersonic turbulence universal? Phys. Rev. Lett. 101 (19), 194505.

I. V. Sytine , D. H. Porter , P. R. Woodward , S. W. Hodson & K.-H. Winkler 2000 Convergence tests for the piecewise parabolic method and Navier–Stokes solutions for homogeneous compressible turbulence. J. Comput. Phys. 158, 225238.

J. Wang , L.-P. Wang , Z. Xiao , Y. Shi & S. Chen 2010 A hybrid numerical simulation of isotropic compressible turbulence. J. Comput. Phys. 229, 52575279.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *



Full text views

Total number of HTML views: 0
Total number of PDF views: 11 *
Loading metrics...

Abstract views

Total abstract views: 81 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 27th May 2017. This data will be updated every 24 hours.