Adaptive Grids in Simulations of Toroidal Plasma Starting From Magneto-hydrofynamic Equilibrium
Authors: Xujing Li, Leonid E. Zakharov and Sergei A. Galkin
Abstract:
This paper introduces the notion of TokamakMagneto-Hydrodynamics
(TMHD), which explicitly reflects the anisotropy of the high temperature tokamak
plasma. The set of TMHD equations is formulated for simulation of macroscopic
plasma dynamics and disruptions in tokamaks. Free from the Courant restriction
on the time step, this set of equations is adequate to plasma dynamics with realis-
tic parameters of high performance plasmas and does not require any extension of
the MHD plasma model. At the same time, TMHD requires the use of magnetic
field aligned numerical grids. Examples of their use in 2-dimensional cases of
tokamak equilibria and dynamics of the wall touching kink mode are presented.
For the 3-dimensional case of ergodic magnetic field, this paper introduces the
Reference Magnetic Coordinates as a practical algorithm for generating adaptive
grids for TMHD.
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Submitted to: Journal of Plasma Science and Technology (December 2013)
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Download PPPL-4968 (pdf 274 KB 19pp)
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