Reynolds-number dependence of the dimensionless dissipation rate in homogeneous magnetohydrodynamic turbulence

Moritz Linkmann*, Arjun Berera, Erin E. Goldstraw

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

This paper examines the behavior of the dimensionless dissipation rate C-epsilon for stationary and nonstationary magnetohydrodynamic (MHD) turbulence in the presence of external forces. By combining with previous studies for freely decaying MHD turbulence, we obtain here both the most general model equation for Ce applicable to homogeneous MHD turbulence and a comprehensive numerical study of the Reynolds number dependence of the dimensionless total energy dissipation rate at unity magnetic Prandtl number. We carry out a series of medium to high resolution direct numerical simulations of mechanically forced stationary MHD turbulence in order to verify the predictions of the model equation for the stationary case. Furthermore, questions of nonuniversality are discussed in terms of the effect of external forces as well as the level of cross-andmagnetic helicity. The measured values of the asymptote C-epsilon,C-infinity lie between 0.193

Original languageEnglish
Article number013102
Number of pages13
JournalPhysical Review E
Volume95
Issue number1
DOIs
Publication statusPublished - 4 Jan 2017

Keywords / Materials (for Non-textual outputs)

  • DIRECT NUMERICAL SIMULATIONS
  • ISOTROPIC TURBULENCE
  • MAGNETIC HELICITY
  • HYDROMAGNETIC TURBULENCE
  • INVERSE CASCADE
  • MHD TURBULENCE
  • VELOCITY-FIELD
  • SOLAR-WIND
  • SPECTRUM
  • CONSEQUENCES

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