Lack of universality in decaying magnetohydrodynamic turbulence

AMS Citation:
Lee, E., M. E. Brachet, A. Pouquet, P. D. Mininni, and D. L. Rosenberg, 2010: Lack of universality in decaying magnetohydrodynamic turbulence. Physical Review E, 81, doi:10.1103/PhysRevE.81.016318.
Resource Type:article
Title:Lack of universality in decaying magnetohydrodynamic turbulence
Abstract: Using computations of three-dimensional magnetohydrodynamic (MHD) turbulence with a Taylor-Green flow, whose inherent time-independent symmetries are implemented numerically, and in the absence of either a forcing function or an imposed uniform magnetic field, we show that three different inertial ranges for the energy spectrum may emerge for three different initial magnetic fields, the selecting parameter being the ratio of the Alfv´en to the eddy turnover time. Equivalent computational grids range from 128³ to 2048³ points with a unit magnetic Prandtl number and a Taylor Reynolds number of up to 1500 at the peak of dissipation. We also show convergence of our results with Reynolds number. Our study is consistent with previous findings of a variety of energy spectra in MHD turbulence by studies performed in the presence of both a forcing term with a given correlation time and a strong, uniform magnetic field. In contrast to the previous studies, however, the ratio of characteristic time scales here can only be ascribed to the intrinsic nonlinear dynamics of the flows under study.
Peer Review:Refereed
Copyright Information:Copyright 2010 American Physical Society.
OpenSky citable URL: ark:/85065/d7wm1dvz
Publisher's Version: 10.1103/PhysRevE.81.016318
  • Edwin Lee - NCAR/UCAR
  • Marc Brachet - NCAR/UCAR
  • Annick Pouquet - NCAR/UCAR
  • Pablo Mininni - NCAR/UCAR
  • Duane Rosenberg - NCAR/UCAR
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