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Title: Current-Sheet Formation in 3D Ideal Incompressible Magnetohydrodynamics

Abstract

The evolution of current density and vorticity in the ideal, inviscid incompressible magnetohydrodynamic equations in three dimensions is studied numerically. Highly effective resolutions are obtained by adaptive structured mesh refinement techniques. We report on results for three different initial conditions showing similar behavior: in the early stage of the evolution a fast increase in vorticity and current density is observed. Thereafter, the evolution towards nearly two-dimensional current sheets results in a depletion of nonlinearity. (c) 2000 The American Physical Society.

Authors:
 [1];  [2]
  1. Institut fuer Theoretische Physik I, Heinrich-Heine-Universitaet Duesseldorf, D-40225 Duesseldorf, (Germany)
  2. Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, New York 10012-1185 (United States)
Publication Date:
OSTI Identifier:
20216604
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 84; Journal Issue: 21; Other Information: PBD: 22 May 2000; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; MAGNETOHYDRODYNAMICS; INCOMPRESSIBLE FLOW; CURRENT DENSITY; VORTICES; NUMERICAL SOLUTION; THEORETICAL DATA

Citation Formats

Grauer, Rainer, and Marliani, Christiane. Current-Sheet Formation in 3D Ideal Incompressible Magnetohydrodynamics. United States: N. p., 2000. Web. doi:10.1103/PhysRevLett.84.4850.
Grauer, Rainer, & Marliani, Christiane. Current-Sheet Formation in 3D Ideal Incompressible Magnetohydrodynamics. United States. doi:10.1103/PhysRevLett.84.4850.
Grauer, Rainer, and Marliani, Christiane. Mon . "Current-Sheet Formation in 3D Ideal Incompressible Magnetohydrodynamics". United States. doi:10.1103/PhysRevLett.84.4850.
@article{osti_20216604,
title = {Current-Sheet Formation in 3D Ideal Incompressible Magnetohydrodynamics},
author = {Grauer, Rainer and Marliani, Christiane},
abstractNote = {The evolution of current density and vorticity in the ideal, inviscid incompressible magnetohydrodynamic equations in three dimensions is studied numerically. Highly effective resolutions are obtained by adaptive structured mesh refinement techniques. We report on results for three different initial conditions showing similar behavior: in the early stage of the evolution a fast increase in vorticity and current density is observed. Thereafter, the evolution towards nearly two-dimensional current sheets results in a depletion of nonlinearity. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevLett.84.4850},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 21,
volume = 84,
place = {United States},
year = {2000},
month = {5}
}