Small-scale structures in three-dimensional magnetohydrodynamic turbulence

AMS Citation:
Mininni, P. D., A. G. Pouquet, and D. C. Montgomery, 2006: Small-scale structures in three-dimensional magnetohydrodynamic turbulence. Physical Review Letters, 97, 244503, doi:10.1103/PhysRevLett.97.244503.
Date:2006-12-14
Resource Type:article
Title:Small-scale structures in three-dimensional magnetohydrodynamic turbulence
Abstract: We investigate using direct numerical simulations with grids up to 1536³ points, the rate at which small scales develop in a decaying three-dimensional MHD flow both for deterministic and random initial conditions. Parallel current and vorticity sheets form at the same spatial locations, and further destabilize and fold or roll up after an initial exponential phase. At high Reynolds numbers, a self-similar evolution of the current and vorticity maxima is found, in which they grow as a cubic power of time; the flow then reaches a finite dissipation rate independent of the Reynolds number.
Subject(s):Soluble diffusion equation, MHD turbulence
Peer Review:Refereed
Copyright Information:Copyright 2006 American Physical Society.
OpenSky citable URL: ark:/85065/d79p31zx
Publisher's Version: 10.1103/PhysRevLett.97.244503
Author(s):
  • Pablo Mininni - NCAR/UCAR
  • A. Pouquet - NCAR/UCAR
  • D. Montgomery
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