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)

Abstract

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
Edition210059
ISBN (Print)9781624105241
DOIs
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
Number210059
Volume0

Conference

ConferenceAIAA Aerospace Sciences Meeting, 2018
Country/TerritoryUnited States
CityKissimmee
Period18/1/818/1/12

ASJC Scopus subject areas

  • Aerospace Engineering

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