# A hyperbolic-equation system approach for magnetized electron fluids in quasi-neutral plasmas

## Abstract

A new approach using a hyperbolic-equation system (HES) is proposed to solve for the electron fluids in quasi-neutral plasmas. The HES approach avoids treatments of cross-diffusion 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, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656 (Japan)
- Department of Advanced Energy, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8561 (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, E-mail: kawashima@al.t.u-tokyo.ac.jp, Komurasaki, Kimiya, E-mail: komurasaki@k.u-tokyo.ac.jp, and Schönherr, Tony, E-mail: schoenherr@al.u-tokyo.ac.jp.
```*A hyperbolic-equation system approach for magnetized electron fluids in quasi-neutral plasmas*. United States: N. p., 2015.
Web. doi:10.1016/J.JCP.2014.12.024.

```
Kawashima, Rei, E-mail: kawashima@al.t.u-tokyo.ac.jp, Komurasaki, Kimiya, E-mail: komurasaki@k.u-tokyo.ac.jp, & Schönherr, Tony, E-mail: schoenherr@al.u-tokyo.ac.jp.
```*A hyperbolic-equation system approach for magnetized electron fluids in quasi-neutral plasmas*. United States. doi:10.1016/J.JCP.2014.12.024.

```
Kawashima, Rei, E-mail: kawashima@al.t.u-tokyo.ac.jp, Komurasaki, Kimiya, E-mail: komurasaki@k.u-tokyo.ac.jp, and Schönherr, Tony, E-mail: schoenherr@al.u-tokyo.ac.jp. Sun .
"A hyperbolic-equation system approach for magnetized electron fluids in quasi-neutral plasmas". United States.
doi:10.1016/J.JCP.2014.12.024.
```

```
@article{osti_22465601,
```

title = {A hyperbolic-equation system approach for magnetized electron fluids in quasi-neutral plasmas},

author = {Kawashima, Rei, E-mail: kawashima@al.t.u-tokyo.ac.jp and Komurasaki, Kimiya, E-mail: komurasaki@k.u-tokyo.ac.jp and Schönherr, Tony, E-mail: schoenherr@al.u-tokyo.ac.jp},

abstractNote = {A new approach using a hyperbolic-equation system (HES) is proposed to solve for the electron fluids in quasi-neutral plasmas. The HES approach avoids treatments of cross-diffusion 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 = {Sun Mar 01 00:00:00 EST 2015},

month = {Sun Mar 01 00:00:00 EST 2015}

}