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.
 Authors:
 Department of Aeronautics and Astronautics, The University of Tokyo, 731 Hongo, Bunkyoku, Tokyo 1138656 (Japan)
 Department of Advanced Energy, The University of Tokyo, 515 Kashiwanoha, Kashiwa, Chiba 2778561 (Japan)
 Publication Date:
 OSTI Identifier:
 22465601
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Computational Physics; Journal Volume: 284; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CALCULATION METHODS; CONVERGENCE; DIFFUSION; ELECTRON GAS; EQUATIONS; FLUIDS; MAGNETIC CONFINEMENT; PLASMA; PLASMA SIMULATION
Citation Formats
Kawashima, Rei, Email: kawashima@al.t.utokyo.ac.jp, Komurasaki, Kimiya, Email: komurasaki@k.utokyo.ac.jp, and Schönherr, Tony, Email: schoenherr@al.utokyo.ac.jp. A hyperbolicequation system approach for magnetized electron fluids in quasineutral plasmas. United States: N. p., 2015.
Web. doi:10.1016/J.JCP.2014.12.024.
Kawashima, Rei, Email: kawashima@al.t.utokyo.ac.jp, Komurasaki, Kimiya, Email: komurasaki@k.utokyo.ac.jp, & Schönherr, Tony, Email: schoenherr@al.utokyo.ac.jp. A hyperbolicequation system approach for magnetized electron fluids in quasineutral plasmas. United States. doi:10.1016/J.JCP.2014.12.024.
Kawashima, Rei, Email: kawashima@al.t.utokyo.ac.jp, Komurasaki, Kimiya, Email: komurasaki@k.utokyo.ac.jp, and Schönherr, Tony, Email: schoenherr@al.utokyo.ac.jp. 2015.
"A hyperbolicequation system approach for magnetized electron fluids in quasineutral plasmas". United States.
doi:10.1016/J.JCP.2014.12.024.
@article{osti_22465601,
title = {A hyperbolicequation system approach for magnetized electron fluids in quasineutral plasmas},
author = {Kawashima, Rei, Email: kawashima@al.t.utokyo.ac.jp and Komurasaki, Kimiya, Email: komurasaki@k.utokyo.ac.jp and Schönherr, Tony, Email: schoenherr@al.utokyo.ac.jp},
abstractNote = {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.},
doi = {10.1016/J.JCP.2014.12.024},
journal = {Journal of Computational Physics},
number = ,
volume = 284,
place = {United States},
year = 2015,
month = 3
}

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