Computation of two-fluid flowing equilibrium of spherical torus plasma using multi-grid method

Article type: Research Article

Authors: Kanki, Takashi^a; | Nagata, Masayoshi^b

Affiliations: [a] Japan Coast Guard Academy, Kure, Hiroshima, Japan | [b] Graduate School of Engineering, University of Hyogo, Himeji, Hyogo, Japan

Correspondence: [*] Corresponding author: Takashi Kanki, Japan Coast Guard Academy, 5-1 Wakaba, Kure, Hiroshima 737-8512, Japan. Tel.: +81 (0) 823 21 4961 (ext.359); Fax: +81 (0) 823 21 8105; E-mail: [email protected]

Abstract: Two-fluid (ions and electrons) flowing equilibrium configurations of spherical torus plasma are numerically determined by using the multi-grid method. The axisymmetric equilibrium equations consist of a pair of second-order partial differential equations for the magnetic (electron) and ion stream functions, and Bernoulli equations for the density. It is found from the numerical results that the multi-grid method with the damped Jacobi method in the smoothing step is effective for solving these equations with numerical stability, high accuracy, and high speed.

Keywords: Two-fluid plasma, flowing equilibrium, spherical torus, multi-grid method, numerical analysis

DOI: 10.3233/JAE-171048

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 59, no. 2, pp. 439-446, 2019