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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2020, Volume 23, Number 2, Pages 143–154
DOI: https://doi.org/10.15372/SJNM20200200203 (Mi sjvm739) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The use of the piecewise parabolic method on a local stencil for constructing a low dissipation of a numerical solution scheme for mathematical modeling of special relativistic hydrodynamic flows

I. M. Kulikov

Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090 Russia
Full-text PDF (745 kB) Citations (5)
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DOI: https://doi.org/10.15372/SJNM20200200203
Abstract: In this paper a new numerical method with a low-dissipation of a numerical solution, based on a combination of the Godunov method with the Roe scheme, and a piecewise parabolic method on a local stencil is described. The construction of the numerical method is described in considerable detail, the method is validated on the one-dimensional Riemann problem. The results of the numerical simulation of the collision of two relativistic gas spheres are presented.
Key words: numerical modeling, numerical methods of high accuracy order, special relativistic hydrodynamics.
Funding agency Grant number
Russian Science Foundation 18-11-00044
This work was supported by the Russian Science Foundation (project no.В 18-11-00044).
Received: 02.05.2018
Revised: 28.03.2019
Accepted: 19.12.2019
English version:
Numerical Analysis and Applications, 2020, Volume 13, Issue 2, Pages 117–126
DOI: https://doi.org/10.1134/S1995423920020032
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: I. M. Kulikov, “The use of the piecewise parabolic method on a local stencil for constructing a low dissipation of a numerical solution scheme for mathematical modeling of special relativistic hydrodynamic flows”, Sib. Zh. Vychisl. Mat., 23:2 (2020), 143–154; Num. Anal. Appl., 13:2 (2020), 117–126
Citation in format AMSBIB
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\by I.~M.~Kulikov
\paper The use of the piecewise parabolic method on a local stencil for
constructing a low dissipation of a numerical solution scheme for mathematical modeling
of special relativistic hydrodynamic flows
\jour Sib. Zh. Vychisl. Mat.
\yr 2020
\vol 23
\issue 2
\pages 143--154
\mathnet{http://mi.mathnet.ru/sjvm739}
\crossref{https://doi.org/10.15372/SJNM20200200203}
\transl
\jour Num. Anal. Appl.
\yr 2020
\vol 13
\issue 2
\pages 117--126
\crossref{https://doi.org/10.1134/S1995423920020032}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000543438700003}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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