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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 3, Pages 417–432
DOI: https://doi.org/10.7868/S0044466913030101 (Mi zvmmf9888) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Numerical simulation of shear layer instability using a scheme with ninth-order multioperator approximations

M. V. Lipavskii, A. I. Tolstykh, E. N. Chigerev

Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
Full-text PDF (1176 kB) Citations (10)
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DOI: https://doi.org/10.7868/S0044466913030101
Abstract: For equations with convective terms, a difference scheme is described based on ninth-order multioperator approximations. Its optimization aimed at achieving a high resolution of small scales of solutions is discussed. The scheme is applied to test problems, and shear layer instability is numerically simulated with a detailed analysis of developing vortex structures and their characteristics.
Key words: Navier–Stokes equation, direct numerical simulation, shear layers, ninth-order multioperator approximation.
Received: 06.06.2012
Revised: 06.09.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 3, Pages 296–310
DOI: https://doi.org/10.1134/S0965542513030081
Bibliographic databases:
Document Type: Article
UDC: 519.634
MSC: 35Q30,65M06
Language: Russian
Citation: M. V. Lipavskii, A. I. Tolstykh, E. N. Chigerev, “Numerical simulation of shear layer instability using a scheme with ninth-order multioperator approximations”, Zh. Vychisl. Mat. Mat. Fiz., 53:3 (2013), 417–432; Comput. Math. Math. Phys., 53:3 (2013), 296–310
Citation in format AMSBIB
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    • This publication is cited in the following 10 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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