Quasi-neutral fluid models for current-carrying plasmas

Authors:
Pierre Crispel;Pierre Degond;Marie-Hélène Vignal
Affiliations:
MIP, UMR 5640 (CNRS-UPS-INSA), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex, France and CNES Centre de Toulouse 18, avenue Edouard Belin, 31401 Toulouse Cedex 4, Fra ...;MIP, UMR 5640 (CNRS-UPS-INSA), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex, France;MIP, UMR 5640 (CNRS-UPS-INSA), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex, France
Venue:
Journal of Computational Physics
Year:
2005

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Abstract

In this paper, we propose three formulations of a model describing a quasi-neutral plasma with non-vanishing current. These formulations are obtained by exploring the quasi-neutral limit of a two-fluid isentropic Euler system coupled with the Poisson equation. In order to study and compare the numerical efficiency of each formulation, two test-problems are implemented in one dimension. The first one is a periodic perturbation of a uniform stationary plasma. The second one is a case of plasma expansion in vacuum between two electrodes.