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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 3, Pages 491–504 (Mi zvmmf171)  
This article is cited in 3 scientific papers (total in 3 papers)

Finite-difference method for the Navier–Stokes equations in a variable domain with curved boundaries

A. B. Usov

Southern Federal University, ul. Mil'chakova 8a, Rostov on-Don, 344090, Russia
Full-text PDF (1530 kB) Citations (3)
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Abstract: A semi-implicit finite-difference scheme is proposed for solving the nonlinear viscous compressible Navier–Stokes equations. Coordinate transformations are constructed that yield a uniform mesh in the computational plane even though the physical domain under consideration is time-varying and curvilinear. The finite-difference scheme was tested using model examples.
Key words: finite-difference method, Navier–Stokes equations, semi-implicit finite-difference scheme, splitting method.
Received: 04.12.2006
Revised: 07.09.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 3, Pages 464–476
DOI: https://doi.org/10.1007/s11470-008-3010-2
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. B. Usov, “Finite-difference method for the Navier–Stokes equations in a variable domain with curved boundaries”, Zh. Vychisl. Mat. Mat. Fiz., 48:3 (2008), 491–504; Comput. Math. Math. Phys., 48:3 (2008), 464–476
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
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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