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Matematicheskoe modelirovanie, 2014, Volume 26, Number 1, Pages 17–32 (Mi mm3435)  
This article is cited in 21 scientific papers (total in 21 papers)

Application of the RKDG method for gas dynamics problems

M. E. Ladonkina, O. A. Neklyudova, V. F. Tishkin

KIAM RAS
Full-text PDF (353 kB) Citations (21)
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Abstract: In recent years the RKDG method with discontinuous basic functions which is characterized as a higher-order method is widely used. It’s known that for guaranteeing the monotony of solution obtained by this method it is necessary to use limiters especially if the solution contains big instabilities. However, application of limiters can negatively affect the accuracy of the solution. In this paper the way of saving the order of accuracy of the solution and guaranteeing the monotony is explored.
Keywords: discontinuous Galerkin method, limiters, Euler equations.
Received: 01.10.2012
English version:
Mathematical Models and Computer Simulations, 2014, Volume 6, Issue 4, Pages 397–407
DOI: https://doi.org/10.1134/S207004821404005X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. E. Ladonkina, O. A. Neklyudova, V. F. Tishkin, “Application of the RKDG method for gas dynamics problems”, Matem. Mod., 26:1 (2014), 17–32; Math. Models Comput. Simul., 6:4 (2014), 397–407
Citation in format AMSBIB
\Bibitem{LadNekTis14}
\by M.~E.~Ladonkina, O.~A.~Neklyudova, V.~F.~Tishkin
\paper Application of the RKDG method for gas dynamics problems
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 1
\pages 17--32
\mathnet{http://mi.mathnet.ru/mm3435}
\zmath{https://zbmath.org/?q=an:06379908}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 4
\pages 397--407
\crossref{https://doi.org/10.1134/S207004821404005X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925947229}
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    • This publication is cited in the following 21 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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