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

• Published in: Plasma science & technology Vol. 17; no. 2; pp. 97 - 104
• Main Author: 李旭静 L. E. ZAKHAROV S. A. GALKIN
• Format: Journal Article
• Language: English
• Published: 01.02.2015
• Subjects: Algorithms; Computer simulation; Coordinates; Magnetic fields; Mathematical analysis; Mathematical models; MHD方程; Plasma dynamics; Tokamak devices; 动力平衡; 托卡马克等离子体; 模拟; 环形等离子体; 磁流体力学; 等离子体动力学; 自适应网格
• ISSN: 1009-0630
• DOI: 10.1088/1009-0630/17/2/02

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 tokamaks. 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.