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Matematicheskoe modelirovanie, 2018, Volume 30, Number 5, Pages 76–98 (Mi mm3969)  
This article is cited in 3 scientific papers (total in 3 papers)

On the monotonicity of the CABARET scheme approximating a scalar conservation law with alternating characteristic field

N. A. Zyuzinaab, O. A. Kovyrkinaa, V. V. Ostapenkoab

a Lavrentyev Institute of Hydrodynamics SB RAS
b Novosibirsk State University
Full-text PDF (467 kB) Citations (3)
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Abstract: The monotonicity of the CABARET scheme approximating quasi-linear scalar conservation law with a convex flux is analyzed. Monotonicity conditions for this scheme are obtained in the areas where propagation velocity of characteristics has constant sign as well as in the areas of sonic lines, sonic bands and shock waves on which propagation velocity of characteristics of approximated divergent equation changes sign. Test computations are presented that illustrate these properties of the CABARET scheme.
Keywords: CABARET finite difference scheme, scalar conservation law with convex flux, sonic lines, monotonicity.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00333_а
Received: 06.03.2017
English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 1, Pages 46–60
DOI: https://doi.org/10.1134/S2070048219010186
Document Type: Article
Language: Russian
Citation: N. A. Zyuzina, O. A. Kovyrkina, V. V. Ostapenko, “On the monotonicity of the CABARET scheme approximating a scalar conservation law with alternating characteristic field”, Matem. Mod., 30:5 (2018), 76–98; Math. Models Comput. Simul., 11:1 (2019), 46–60
Citation in format AMSBIB
\Bibitem{ZyuKovOst18}
\by N.~A.~Zyuzina, O.~A.~Kovyrkina, V.~V.~Ostapenko
\paper On the monotonicity of the CABARET scheme approximating a scalar conservation law with alternating characteristic field
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 5
\pages 76--98
\mathnet{http://mi.mathnet.ru/mm3969}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 1
\pages 46--60
\crossref{https://doi.org/10.1134/S2070048219010186}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математическое моделирование
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