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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 8, Pages 1518–1530 (Mi zvmmf9531)  
This article is cited in 9 scientific papers (total in 9 papers)

Dimension reduction in fluid dynamics equations

V. B. Akkerman, M. L. Zaytsev

Nuclear Safety Institute, Russian Academy of Sciences, ul. Bolshaya Tulskaya 52, Moscow, 115191 Russia
Full-text PDF (791 kB) Citations (9)
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Abstract: A method for transforming the Euler and Navier–Stokes equations and a complete system of fluid dynamics equations in three dimensions to a closed system on any moving surface is proposed. As a result, for an arbitrary geometric configuration, the dimension of the equations is reduced by one, which makes them convenient for numerical simulation. The general principles of the method are described, and verifying examples are presented.
Key words: methods for fluid flow computation, dimension reduction in overdetermined systems of differential equations, Euler equations, Navier–Stokes equations.
Received: 03.09.2009
Revised: 05.08.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 8, Pages 1418–1430
DOI: https://doi.org/10.1134/S0965542511080021
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. B. Akkerman, M. L. Zaytsev, “Dimension reduction in fluid dynamics equations”, Zh. Vychisl. Mat. Mat. Fiz., 51:8 (2011), 1518–1530; Comput. Math. Math. Phys., 51:8 (2011), 1418–1430
Citation in format AMSBIB
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    • This publication is cited in the following 9 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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    References:79
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