Adaptive Grids in Simulations of Toroidal Plasma Starting from Magneto-Hydrodynamic Equilibrium

LI Xujing (李旭静); L. E. ZAKHAROV; S. A. GALKIN

doi:10.1088/1009-0630/17/2/02

Plasma Science and Technology > 2015 > 17(2): 97-104. > DOI: 10.1088/1009-0630/17/2/02

LI Xujing (李旭静), L. E. ZAKHAROV, S. A. GALKIN. Adaptive Grids in Simulations of Toroidal Plasma Starting from Magneto-Hydrodynamic Equilibrium[J]. Plasma Science and Technology, 2015, 17(2): 97-104. DOI: 10.1088/1009-0630/17/2/02

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Adaptive Grids in Simulations of Toroidal Plasma Starting from Magneto-Hydrodynamic Equilibrium

1 Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China 2 Princeton Plasma Physics Laboratory, Princeton, New Jersey, USA 3 FAR-TECH, Inc. 10350 Science Center Dr. Bld 14, St 150, San Diego, CA 92121, USA

Funds: supported by US DoE Contract No. DE-AC02-09-CH11466, by the National Magnetic Confinement Fusion Science Program of China (No. 2011GB105003), and by the US DOE SBIR grant # 94307S10-II

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Received Date: December 08, 2013

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Abstract

Abstract

This paper introduces the notion of Tokamak Magneto-Hydrodynamics (TMHD), which explicitly reflects the anisotropy of a high temperature tokamak plasma. The set of TMHD equations is formulated for simulation of macroscopic plasma dynamics and disruptions in toka- maks. Free from the Courant restriction on the time step, this set of equations is adequate to plasma dynamics with realistic 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 an ergodic magnetic field, this paper introduces the reference magnetic coordinates as a practical algorithm for generating adaptive grids for TMHD.
- tokamak,
- magneto-hydrodynamics,
- disruptions,
- numerical simulations,
- adaptive grid

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