PPPL-4968

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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