A hyperbolicequation system approach for magnetized electron fluids in quasineutral plasmas
Abstract
A new approach using a hyperbolicequation system (HES) is proposed to solve for the electron fluids in quasineutral plasmas. The HES approach avoids treatments of crossdiffusion terms which cause numerical instabilities in conventional approaches using an elliptic equation (EE). A test calculation reveals that the HES approach can robustly solve problems of strong magnetic confinement by using an upwind method. The computation time of the HES approach is compared with that of the EE approach in terms of the size of the problem and the strength of magnetic confinement. The results indicate that the HES approach can be used to solve problems in a simple structured mesh without increasing computational time compared to the EE approach and that it features fast convergence in conditions of strong magnetic confinement.
 Publication:

Journal of Computational Physics
 Pub Date:
 March 2015
 DOI:
 10.1016/j.jcp.2014.12.024
 arXiv:
 arXiv:1712.02928
 Bibcode:
 2015JCoPh.284...59K
 Keywords:

 Plasma simulation;
 Electron fluid;
 Hyperbolic equation;
 Upwind method;
 Physics  Computational Physics
 EPrint:
 13 pages, 10 figures