Capturing reconnection phenomena using generalized Eulerian-Lagrangian description in Navier-Stokes and resistive MHD

AMS Citation:
Cartes, C., M. D. Bustamante, A. Pouquet, and M. E. Brachet, 2008: Capturing reconnection phenomena using generalized Eulerian-Lagrangian description in Navier-Stokes and resistive MHD. Fluid Dynamics Research, 41, 011404, doi:10.1088/0169-5983/41/1/011404.
Date:2008-12-19
Resource Type:article
Title:Capturing reconnection phenomena using generalized Eulerian-Lagrangian description in Navier-Stokes and resistive MHD
Abstract: New generalized equations of motion for the Weber-Clebsch potentials that describe both the Navier-Stokes and magnetohydrodynamics (MHD) dynamics are derived. These depend on a new parameter, which has dimensions of time for Navier-Stokes and inverse velocity for MHD. Direct numerical simulations (DNSs) are performed. For Navier-Stokes, the generalized formalism captures the intense reconnection of vortices of the Boratav, Pelz and Zabusky (BPZ) flow, in agreement with the previous study by Ohkitani and Constantin. For MHD, the new formalism is used to detect magnetic reconnection in several flows: the three-dimensional (3D) Arnold, Beltrami and Childress (ABC) flow and the (2D and 3D) Orszag-Tang (OT) vortex. It is concluded that periods of intense activity in the magnetic enstrophy are correlated with periods of increasingly frequent resettings. Finally, the positive correlation between the sharpness of the increase in resetting frequency and the spatial localization of the reconnection region is discussed.
Peer Review:Refereed
Copyright Information:An edited version of this paper was published by the Institute of Physics. Copyright 2008 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.
OpenSky citable URL: ark:/85065/d7v124z6
Publisher's Version: 10.1088/0169-5983/41/1/011404
Author(s):
  • Carlos Cartes
  • Miguel Bustamante
  • Annick Pouquet - NCAR/UCAR
  • Marc Brachet
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