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Title: Variational Integration for Ideal MHD with Built-in Advection Equations

Newcomb's Lagrangian for ideal 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.
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  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
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Resource Type:
Technical Report
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Related Information: Submitted to Physics of Plasmas
Research Org:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Org:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
Contributing Orgs:
Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543,USA, Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
Country of Publication:
United States
70 PLASMA PHYSICS AND FUSION TECHNOLOGY Computational Physics; Computer Simulation; Magnetohydrodynamics (MHD)