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Extension of the Ingenious Electrostatic Model to Electromagnetic Model for Large-Scale Plasma Simulation with Self-Consistent Electron Dynamics

Tomonori TAKIZUKA, Kenzo IBANO and Masatoshi YAGI¹⁾

Graduate School of Engineering, Osaka University, Suita 565-0871, Japan

1)

National Institutes for Quantum and Radiological Science and Technology, Rokkasho 039-3212, Japan

(Received 26 March 2019 / Accepted 9 April 2019 / Published 16 May 2019)

Abstract

An ingenious model for large-scale electromagnetic (EM) plasma simulations is proposed. By introducing a dielectric tensor ε with enlarged permittivity elements ε_∗ » ε₀ to Poisson equation, ∇ ⋅ (ε∇φ) = −ρ (ε₀ is the permittivity of free space, φ is electrostatic potential and ρ is charge density), the Debye length is artificially elongated and the large-scale system can be numerically treated even for including the self-consistent electron dynamics [T. Takizuka et al., Plasma Fusion Res. 13, 1203088 (2018)]. In cylindrical coordinates (R, θ, Z) for three-dimensional tokamak simulations, a toroidal element ε_θθ is chosen much larger than poloidal elements ε_RR = ε_ZZ = ε_∗, and a toroidal mesh size Δ_θ can be set much larger than poloidal mesh sizes Δ_R,Z. Resultantly the total mesh number becomes reasonably small and computation cost can be reduced. EM responses are also simulated using a modified Darwin model for Ampere's law, ∇²A = −μ₀(J − ε∂∇φ/∂t) (A is magnetic vector potential, J is current density, and μ₀ is the permeability of free space), where light-speed EM waves are neglected. This modification is consistent with the charge-density continuity.

Copyright (c) 2019 The Japan Society of Plasma Science and Nuclear Fusion Research

Keywords

electromagnetic simulation, global plasma, electron dynamics, Poisson equation, Darwin model

DOI: 10.1585/pfr.14.1203091

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References

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