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Matematicheskoe modelirovanie, 2018, Volume 30, Number 9, Pages 51–71 (Mi mm4001)  

This article is cited in 13 scientific papers (total in 13 papers)

Godunov type method and the Shafranov's task for multi-temperature plasma

A. G. Aksenova, V. F. Tishkinb, V. M. Chechetkinba

a Institute for Computer Aided Design, Russian Academy of Sciences
b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
References:
Abstract: New multi-temperature code for the multi-component gas-dynamic was tested. The velocities of all components with nonzero masses are assumed to be identical. Method operates with the table equation of state. Method can include in the consideration the electron heat conduction, the radiation transfer, the exchange the energy between the components, and the chemical reactions. The gas-dynamic part is based on the Godunov approach with the effective approximate Riemann problem solver and the model of the local equation of state. The goal of the investigation is the test of the development of the code and the "exact" solution of the Shafranov task for the shock wave in the hydrogen plasma.
Keywords: multi-temperature plasma, equation of state, Godunov type scheme.
Funding agency Grant number
Russian Science Foundation 16-11-10339
Received: 18.09.2017
English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 3, Pages 360–373
DOI: https://doi.org/10.1134/S2070048219030025
Document Type: Article
Language: Russian
Citation: A. G. Aksenov, V. F. Tishkin, V. M. Chechetkin, “Godunov type method and the Shafranov's task for multi-temperature plasma”, Matem. Mod., 30:9 (2018), 51–71; Math. Models Comput. Simul., 11:3 (2019), 360–373
Citation in format AMSBIB
\Bibitem{AksTisChe18}
\by A.~G.~Aksenov, V.~F.~Tishkin, V.~M.~Chechetkin
\paper Godunov type method and the Shafranov's task for multi-temperature plasma
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 9
\pages 51--71
\mathnet{http://mi.mathnet.ru/mm4001}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 3
\pages 360--373
\crossref{https://doi.org/10.1134/S2070048219030025}
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  • https://www.mathnet.ru/eng/mm/v30/i9/p51
  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    References:50
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