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Sibirskii Zhurnal Industrial'noi Matematiki, 2020, Volume 23, Number 3, Pages 53–64
DOI: https://doi.org/10.33048/SIBJIM.2020.23.305 (Mi sjim1098) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a modification of the Rusanov solver for the equations of special relativistic magnetic hydrodynamics

I. M. Kulikov

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Akad. Lavrentieva 6, Novosibirsk 630090, Russia
Full-text PDF (536 kB) Citations (2)
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DOI: https://doi.org/10.33048/SIBJIM.2020.23.305
Abstract: We describe the implementation of a modification of the Rusanov solver for the equations of special relativistic magnetic hydrodynamics. The particularity of the relativistic hydrodynamics equations, including a magnetic field, is a natural constraint on the admissible wave propagation velocity, which allows us to construct a fairly simple modification of the Rusanov solver using the maximum wave propagation velocity equal to the speed of light.
Keywords: computational astrophysics, relativistic magnetic hydrodynamics, Rusanov solver. .
Funding agency Grant number
Russian Science Foundation 18-11-00044
The author was supported by the Russian Science Foundation (project no. 18-11-00044).
Received: 14.02.2020
Revised: 08.04.2020
Accepted: 16.07.2020
English version:
Journal of Applied and Industrial Mathematics, 2020, Volume 14, Issue 3, Pages 524–531
DOI: https://doi.org/10.1134/S1990478920030114
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: I. M. Kulikov, “On a modification of the Rusanov solver for the equations of special relativistic magnetic hydrodynamics”, Sib. Zh. Ind. Mat., 23:3 (2020), 53–64; J. Appl. Industr. Math., 14:3 (2020), 524–531
Citation in format AMSBIB
\Bibitem{Kul20}
\by I.~M.~Kulikov
\paper On a modification of the Rusanov solver
for the equations of special relativistic
magnetic hydrodynamics
\jour Sib. Zh. Ind. Mat.
\yr 2020
\vol 23
\issue 3
\pages 53--64
\mathnet{http://mi.mathnet.ru/sjim1098}
\crossref{https://doi.org/10.33048/SIBJIM.2020.23.305}
\elib{https://elibrary.ru/item.asp?id=45181757}
\transl
\jour J. Appl. Industr. Math.
\yr 2020
\vol 14
\issue 3
\pages 524--531
\crossref{https://doi.org/10.1134/S1990478920030114}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85094676296}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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