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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 11, Pages 1953–1969 (Mi zvmmf4782)  
This article is cited in 8 scientific papers (total in 8 papers)

Numerical analysis of a quasi-gasdynamic algorithm as applied to the Euler equations

T. G. Elizarova, E. V. Shilnikov

Institute for Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia
Full-text PDF (1733 kB) Citations (8)
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Abstract: The computational properties of a quasi-gasdynamic algorithm are analyzed as applied to strong-shock Riemann problems and acoustic disturbance propagation. It is shown that a unified treatment can be given to these problems in the framework of the algorithm. Stability conditions are numerically obtained, and the error and computational complexity of the difference scheme are estimated.
Key words: quasi-gasdynamic algorithm, accuracy, stability, computational complexity, Riemann problem, acoustic disturbances, Euler equations.
Received: 19.01.2009
Revised: 02.02.2009
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 11, Pages 1869–1884
DOI: https://doi.org/10.1134/S0965542509110050
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: T. G. Elizarova, E. V. Shilnikov, “Numerical analysis of a quasi-gasdynamic algorithm as applied to the Euler equations”, Zh. Vychisl. Mat. Mat. Fiz., 49:11 (2009), 1953–1969; Comput. Math. Math. Phys., 49:11 (2009), 1869–1884
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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