Hyperbolic system approach for magnetized electron fluids in exb discharge plasmas

Rei Kawashima, Zhexu Wang, Sainadh Chamarthi, Hiroyuki Koizumi, Kimiya Komurasaki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)


Numerical analyses of plasma waves in E×B plasma devices require a computational method for magnetized electron fluids with minimized numerical instabilities. A hyperbolic-system approach has been developed for robust computation of magnetized electron fluids, and the applicability of this approach to the coordinate system of E-field and E×B directions is investigated in this paper. The issue of magnetized electron fluid calculation is associated with the violation of diagonal dominance due to cross-diffusion terms. A test problem for the equation consisting of only cross-diffusion terms is computed by using the hyperbolic-system approach and the conventional approach using an elliptic equation. A stable computation is confirmed using the hyperbolic-system approach, and the second-order space accuracy is verified. On the other hand, the elliptic-equation approach suffers from a numerical instability if standard iterative methods are used. The converged solution is obtained only when an under-relaxation method for which the computational cost becomes large.

Original languageEnglish
Title of host publicationAIAA Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105241
Publication statusPublished - 2018
Externally publishedYes
EventAIAA Aerospace Sciences Meeting, 2018 - Kissimmee, United States
Duration: 2018 Jan 82018 Jan 12

Publication series

NameAIAA Aerospace Sciences Meeting, 2018


ConferenceAIAA Aerospace Sciences Meeting, 2018
Country/TerritoryUnited States

ASJC Scopus subject areas

  • Aerospace Engineering


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