Tokamak magneto-hydrodynamics and reference magnetic coordinates for simulations of plasma disruptions

摘要: This paper formulates the Tokamak Magneto-Hydrodynamics (TMHD), initially outlined by X. Li and L. E. Zakharov [Plasma Science Technology 17(2), 97–104 (2015)] for proper simulations of macroscopic plasma dynamics. The simplest set magneto-hydrodynamics equations, sufficient disruption modeling extendable to more refined physics, is explained in detail. First, TMHD introduces 3-D Reference Magnetic Coordinates (RMC), which are aligned with magnetic field best possible way. numerical implementation RMC adaptive grids. Being consistent high anisotropy tokamak plasma, allow at realistic, very electric conductivity. Second, splits equation motion into an equilibrium advancing equation. resolves 4 decade old problem Courant limitations time step existing, inertia driven codes. splitting allows on a relatively slow scale comparison fast ideal MHD instabilities. A new, efficient scheme proposed TMHD.