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Matematicheskoe modelirovanie, 2013, Volume 25, Number 9, Pages 109–136 (Mi mm3405)  
This article is cited in 6 scientific papers (total in 6 papers)

A comparison between the CABARET scheme and the MUSCL-type schemes

A. V. Rodionov

Russian Federal Nuclear Center – VNIIEF, Sarov
Full-text PDF (890 kB) Citations (6)
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Abstract: The CABARET scheme is compared with some schemes from the family of MUSCL-type schemes. Description and analysis of these schemes are presented as applied to the linear constant-coefficient advection equation. A new representation, which can be treated as a modification of the MUSCL scheme, is proposed for the CABARET scheme. Three types of limiters are considered in the MUSCL-type schemes: TVD, TVB and a new NOLD limiter. The schemes are evaluated on a number of linear problems (discontinuous and continuous profiles, uniform and non-uniform mesh) as well as on the nonlinear blast wave problem.
Keywords: CABARET scheme, MUSCL-type schemes, TVD- and TVB-limiters, blast wave problem.
Received: 15.03.2013
English version:
Mathematical Models and Computer Simulations, 2014, Volume 6, Issue 2, Pages 203–225
DOI: https://doi.org/10.1134/S2070048214020094
Bibliographic databases:
Document Type: Article
UDC: 519.6+533.6
Language: Russian
Citation: A. V. Rodionov, “A comparison between the CABARET scheme and the MUSCL-type schemes”, Matem. Mod., 25:9 (2013), 109–136; Math. Models Comput. Simul., 6:2 (2014), 203–225
Citation in format AMSBIB
\Bibitem{Rod13}
\by A.~V.~Rodionov
\paper A comparison between the CABARET scheme and the MUSCL-type schemes
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 9
\pages 109--136
\mathnet{http://mi.mathnet.ru/mm3405}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3203283}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 2
\pages 203--225
\crossref{https://doi.org/10.1134/S2070048214020094}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925940193}
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    • This publication is cited in the following 6 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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    Full-text PDF :208
    References:68
    First page:59
     
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