A volume of fluid method for a two-dimensional plasma expansion problem
| Autor: | C. Parzani, K. C. Le Thanh, Marie-Hélène Vignal |
|---|---|
| Přispěvatelé: | Institut de Mathématiques de Toulouse UMR5219 (IMT), Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: |
Physics
Numerical Analysis Work (thermodynamics) Physics and Astronomy (miscellaneous) Applied Mathematics Boundary (topology) Electron Mechanics Plasma 01 natural sciences Thermal expansion 010305 fluids & plasmas Computer Science Applications 010101 applied mathematics Computational Mathematics Classical mechanics 76M25 (65M06 76X05) Physics::Plasma Physics Modeling and Simulation 0103 physical sciences Cathode ray Volume of fluid method Free boundary problem 0101 mathematics ComputingMilieux_MISCELLANEOUS |
| Zdroj: | Journal of Computational Physics Journal of Computational Physics, Elsevier, 2007, 225 (2), pp.1937-1960. ⟨10.1016/j.jcp.2007.02.031⟩ Journal of Computational Physics, 2007, 225 (2), pp.1937-1960. ⟨10.1016/j.jcp.2007.02.031⟩ |
| ISSN: | 0021-9991 1090-2716 |
| DOI: | 10.1016/j.jcp.2007.02.031⟩ |
| Popis: | This paper is devoted to the numerical study of a two-dimensional model for plasma expansion in vacuum. The plasma, constituted of ions and electrons, is injected from a part of the cathode and undergoes a thermal expansion. Due to the positive anode potential, electrons are emitted from the plasma-vacuum interface, forming an electron beam. Moreover, electron emission produces a reaction-pressure force which slows down the plasma expansion. Previous works [P. Degond, C. Parzani, M.H. Vignal, Un modele d'expansion de plasma dans le vide, C. R. Acad. Sci. Paris 335 (2002) 399; P. Degond, C. Parzani, M.H. Vignal, Plasma expansion in vacuum: modeling the breakdown of quasineutrality, SIAM, Multiscale Model. Simul. 2 (2003) 158; P. Degond, C. Parzani, M. H. Vignal, A model for plasma expansion in the vacuum, in: Proceedings of the Conference ''Free Boundary Problems 2002'', Trento, June 2002] have been realized to describe this process in the one-dimensional case. One of the main goal is to get a precise description of the interface motion. The aim of the present work is to explore more realistic cases investigating a two-dimensional model. However, considering upper dimensions yields to new difficulties essentially from a numerical point of view. Indeed, in the 2D space case, the plasma-vacuum interface is no more a point but a curve. Therefore, in this work, after proposing a two-dimensional model, we focus on the interface tracking using a volume of fluid method. We perform numerical simulations on two test cases. The first test case consists in a two-dimensional fluid compression for which an analytic solution is known. The second test case is the plasma bubble expansion between two electrodes. |
| Databáze: | OpenAIRE |
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