Paradigmatic flow for small-scale magnetohydrodynamics: Properties of the ideal case and the collision of current sheets

AMS Citation:
Lee, E., M. E. Brachet, A. Pouquet, P. D. Mininni, and D. Rosenberg, 2008: Paradigmatic flow for small-scale magnetohydrodynamics: Properties of the ideal case and the collision of current sheets. Physical Review E, 78, 066401, doi:10.1103/PhysRevE.78.066401.
Date:2008-12-02
Resource Type:article
Title:Paradigmatic flow for small-scale magnetohydrodynamics: Properties of the ideal case and the collision of current sheets
Abstract: We propose two sets of initial conditions for magnetohydrodynamics (MHD) in which both the velocity and the magnetic fields have spatial symmetries that are preserved by the dynamical equations as the system evolves. When implemented numerically they allow for substantial savings in CPU time and memory storage requirements for a given resolved scale separation. Basic properties of these Taylor-Green flows generalized to MHD are given, and the ideal nondissipative case is studied up to the equivalent of 2048³ grid points for one of these flows. The temporal evolution of the logarithmic decrements δ of the energy spectrum remains exponential at the highest spatial resolution considered, for which an acceleration is observed briefly before the grid resolution is reached. Up to the end of the exponential decay of δ, the behavior is consistent with a regular flow with no appearance of a singularity. The subsequent short acceleration in the formation of small magnetic scales can be associated with a near collision of two current sheets driven together by magnetic pressure. It leads to strong gradients with a fast rotation of the direction of the magnetic field, a feature also observed in the solar wind.
Peer Review:Refereed
Copyright Information:Copyright 2008 the American Physical Society.
OpenSky citable URL: ark:/85065/d7765ffg
Publisher's Version: 10.1103/PhysRevE.78.066401
Author(s):
  • E. Lee - NCAR/UCAR
  • M. Brachet - NCAR/UCAR
  • Annick Pouquet - NCAR/UCAR
  • Pablo Mininni - NCAR/UCAR
  • D. Rosenberg - NCAR/UCAR
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