Forced magnetohydrodynamic turbulence in three dimensions using Taylor-Green symmetries

AMS Citation:
Krstulovic, G., M. E. Brachet, and A. Pouquet, 2014: Forced magnetohydrodynamic turbulence in three dimensions using Taylor-Green symmetries. Physical Review E, 89, 043017, doi:10.1103/PhysRevE.89.043017.
Date:2014-04-24
Resource Type:article
Title:Forced magnetohydrodynamic turbulence in three dimensions using Taylor-Green symmetries
Abstract: We examine the scaling laws of magnetohydrodynamic (MHD) turbulence for three different types of forcing functions and imposing at all times the fourfold symmetries of the Taylor-Green (TG) vortex generalized to MHD; no uniform magnetic field is present and the magnetic Prandtl number is equal to unity. We also include pumping in the induction equation, and we take the three configurations studied in the decaying case in Lee et al. [Phys. Rev. E 81, 016318 (2010)]. To that effect, we employ direct numerical simulations up to an equivalent resolution of 20483 grid points. We find that, similarly to the case when the forcing is absent, different spectral indices for the total energy spectrum emerge, corresponding to either a Kolmogorov law, an Iroshnikov-Kraichnan law that arises from the interactions of turbulent eddies and Alfvén waves, or to weak turbulence when the large-scale magnetic field is strong. We also examine the inertial range dynamics in terms of the ratios of kinetic to magnetic energy, and of the turnover time to the Alfvén time, and analyze the temporal variations of these quasiequilibria.
Peer Review:Refereed
Copyright Information:Copyright 2014 American Physical Society.
OpenSky citable URL: ark:/85065/d71v5fw0
Publisher's Version: 10.1103/PhysRevE.89.043017
Author(s):
  • G. Krstulovic
  • M. Brachet
  • Annick Pouquet - NCAR/UCAR
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