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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 6, Pages 1078–1091 (Mi zvmmf4892)  
This article is cited in 3 scientific papers (total in 3 papers)

Stability of difference schemes in terms of Riemann invariants for a polytropic gas

G. L. Martsinkevicha, P. P. Matusab, M. M. Chuĭkoa

a Institute for Mathematics, National Academy of Sciences, ul. Surganova 11, Minsk, 220072 Belarus
b Al. Raclawickie 14, 20-950 Lublin, Poland, The John Paul II Catholic University of Lublin
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Abstract: The monotonicity and stability of a finite difference scheme with respect to initial data in the supremum norm are analyzed as applied to the polytropic gas equations written in terms of Riemann invariants for subsonic flows with $1<\gamma<3$. Conditions on the initial and boundary data are obtained under which subsonic flows with no shock waves develop in the medium. The theoretical conclusions are supported by numerical results.
Key words: numerical solution of gasdynamic problems, Riemann invariants for polytropic gas, finite difference method, stability and monotonicity of difference schemes.
Received: 04.05.2009
Revised: 22.12.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 6, Pages 1024–1037
DOI: https://doi.org/10.1134/S0965542510060096
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: G. L. Martsinkevich, P. P. Matus, M. M. Chuǐko, “Stability of difference schemes in terms of Riemann invariants for a polytropic gas”, Zh. Vychisl. Mat. Mat. Fiz., 50:6 (2010), 1078–1091; Comput. Math. Math. Phys., 50:6 (2010), 1024–1037
Citation in format AMSBIB
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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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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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