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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 4, Pages 700–714 (Mi zvmmf12)  
This article is cited in 4 scientific papers (total in 4 papers)

Splitting algorithms as applied to the Navier–Stokes equations

V. M. Kovenya, A. Yu. Slyunyaev

Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva, 6, Novosibirsk, 630090, Russia
Full-text PDF (1954 kB) Citations (4)
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Abstract: Implicit finite-difference schemes of approximate factorization and predictor-corrector schemes based on a special splitting of operators are proposed for the numerical solution of the Navier–Stokes equations governing a viscous compressible heat-conducting gas. The schemes are based on scalar tridiagonal Gaussian elimination and are unconditionally stable. The accuracy and efficiency of the algorithms are confirmed by computing two-dimensional flows of complex geometry.
Key words: viscous Navier–Stokes equations, implicit difference scheme, splitting method.
Received: 01.04.2008
Revised: 02.09.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 4, Pages 676–690
DOI: https://doi.org/10.1134/S0965542509040125
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. M. Kovenya, A. Yu. Slyunyaev, “Splitting algorithms as applied to the Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009), 700–714; Comput. Math. Math. Phys., 49:4 (2009), 676–690
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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