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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 10, Pages 1904–1925 (Mi zvmmf9771)  

This article is cited in 3 scientific papers (total in 3 papers)

Splitting over physical processes as applied to the construction of a numerical method for solving the system of kinetic equations governing a hall thruster rarefied plasma jet

A. S. Arkhipov, A. M. Bishaev

Research Institute of Applied Mechanics and Electrodynamics, Moscow, Russia
References:
Abstract: A numerical method is constructed for solving the system of kinetic equations describing the behavior of a rarefied plasma jet exhausted from a Hall thruster. A similar problem was previously considered in the steady case. Now the same problem is solved in the unsteady formulation. The numerical method is based on a generalization of the splitting method with respect to physical processes, which is widely used in rarefied gas dynamics. The basic difficulty faced in the natural generalization of this method as applied to thruster jets is that a boundary condition has to be taken into account when the ion distribution function is determined. This difficulty is overcome by analytically selecting the corresponding term at the stage of free-molecular motion. Another difficulty that can be coped with by the splitting method is that the ion and neutral velocity spaces have widely different scales. Techniques for making the method conservative are described, and situations in which this is necessary are discussed. Qualitative characteristics of some numerical computations are compared with experimental data. The comparison shows that the numerical method constructed adequately reproduces the behavior of the modeled object.
Key words: Hall thruster; numerical solution of a system of kinetic equations; distribution function, velocity space; rarefied plasma jet behavior.
Received: 27.12.2011
Revised: 25.05.2012
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 10, Pages 1452–1471
DOI: https://doi.org/10.1134/S0965542512100053
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. S. Arkhipov, A. M. Bishaev, “Splitting over physical processes as applied to the construction of a numerical method for solving the system of kinetic equations governing a hall thruster rarefied plasma jet”, Zh. Vychisl. Mat. Mat. Fiz., 52:10 (2012), 1904–1925; Comput. Math. Math. Phys., 52:10 (2012), 1452–1471
Citation in format AMSBIB
\Bibitem{ArkBis12}
\by A.~S.~Arkhipov, A.~M.~Bishaev
\paper Splitting over physical processes as applied to the construction of a numerical method for solving the system of kinetic equations governing a hall thruster rarefied plasma jet
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2012
\vol 52
\issue 10
\pages 1904--1925
\mathnet{http://mi.mathnet.ru/zvmmf9771}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3150299}
\zmath{https://zbmath.org/?q=an:1274.76369}
\transl
\jour Comput. Math. Math. Phys.
\yr 2012
\vol 52
\issue 10
\pages 1452--1471
\crossref{https://doi.org/10.1134/S0965542512100053}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf9771
  • https://www.mathnet.ru/eng/zvmmf/v52/i10/p1904
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:56
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