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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 3, Pages 550–559 (Mi zvmmf510)  

This article is cited in 5 scientific papers (total in 5 papers)

Computation of axisymmetric MHD flows in a channel with an external longitudinal magnetic field

K. V. Brushlinskiia, N. S. Zhdanovab

a Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
b Moscow Institute of Engineering Physics, Kashirskoe sh. 31, Moscow, 115409, Russia
References:
Abstract: A numerical study of two-dimensional plasma flows in coaxial channels of plasma accelerators is presented. Two new results are obtained. First, for the computation of MHD problems belonging to the class under consideration, Zalesak's method is used. It is based on an explicit finite difference scheme with flux correction. This method is free of space splitting, and, therefore, is well suited for parallel computations on multiprocessors. Second, the statement of the problem is extended so that the acceleration of the plasma by the azimuth magnetic self-field goes on in the presence of an external longitudinal field. The results of test computations demonstrate the efficiency of the method and made it possible to investigate the influence of the longitudinal field on the properties of the plasma flows.
Key words: flux correction difference scheme, two-dimensional MHD flow, Zalesak's numerical method.
Received: 20.09.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 3, Pages 527–536
DOI: https://doi.org/10.1134/S0965542506030183
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: K. V. Brushlinskii, N. S. Zhdanova, “Computation of axisymmetric MHD flows in a channel with an external longitudinal magnetic field”, Zh. Vychisl. Mat. Mat. Fiz., 46:3 (2006), 550–559; Comput. Math. Math. Phys., 46:3 (2006), 527–536
Citation in format AMSBIB
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\by K.~V.~Brushlinskii, N.~S.~Zhdanova
\paper Computation of axisymmetric MHD flows in a~channel with an external longitudinal magnetic field
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 3
\pages 550--559
\mathnet{http://mi.mathnet.ru/zvmmf510}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2260310}
\zmath{https://zbmath.org/?q=an:05200925}
\elib{https://elibrary.ru/item.asp?id=9211651}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 3
\pages 527--536
\crossref{https://doi.org/10.1134/S0965542506030183}
\elib{https://elibrary.ru/item.asp?id=13504616}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746102846}
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  • https://www.mathnet.ru/eng/zvmmf/v46/i3/p550
  • This publication is cited in the following 5 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:60
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