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Title: Variational integration for ideal magnetohydrodynamics with built-in advection equations

Newcomb's Lagrangian for ideal magnetohydrodynamics (MHD) in Lagrangian labeling is discretized using discrete exterior calculus. Variational integrators for ideal MHD are derived thereafter. Besides being symplectic and momentum-preserving, the schemes inherit built-in advection equations from Newcomb's formulation, and therefore avoid solving them and the accompanying error and dissipation. We implement the method in 2D and show that numerical reconnection does not take place when singular current sheets are present. We then apply it to studying the dynamics of the ideal coalescence instability with multiple islands. The relaxed equilibrium state with embedded current sheets is obtained numerically.
Authors:
; ;  [1] ;  [1] ;  [2]
  1. Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543 (United States)
  2. (China)
Publication Date:
OSTI Identifier:
22299652
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 10; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ADVECTION; CURRENTS; EQUATIONS; EQUILIBRIUM; LAGRANGIAN FUNCTION; MAGNETOHYDRODYNAMICS; PLASMA INSTABILITY; SHEETS; VARIATIONAL METHODS