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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2022, Volume 25, Number 2, Pages 97–109
DOI: https://doi.org/10.15372/SJNM20220201 (Mi sjvm799) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Numerical algorithm for solving Prandtl equations with induced pressure in periodic case

R. K. Gaydukov

National Research University «Higher School of Economics», Moscow, Russia
Full-text PDF (2133 kB) Citations (1) English version article
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DOI: https://doi.org/10.15372/SJNM20220201
Abstract: A viscous liquid flow along a semi-infinite plate with small periodic irregularities on the surface was considered for large Reynolds numbers. The flow near the plate is described by Prandtl equations with induced pressure which are non-classical PDE, because they contain a limiting term. The main goal is to construct a numerical algorithm for solving these equations with periodic boundary conditions. The results of numerical modeling of the flow are presented.
Key words: double-deck structure, averaging, Prandtl equations with induced pressure, periodic perturbations, numerical modeling.
Funding agency Grant number
HSE Basic Research Program
The article was prepared within the framework of the HSE University Basic Research Program.
Received: 13.05.2021
Revised: 21.10.2021
Accepted: 27.01.2022
English version:
Numerical Analysis and Applications, 2022, Volume 15, Issue 2, Pages 79–89
DOI: https://doi.org/10.1134/S199542392202001X
Bibliographic databases:
Document Type: Article
MSC: 35Q35, 65N06, 76N20
Language: Russian
Citation: R. K. Gaydukov, “Numerical algorithm for solving Prandtl equations with induced pressure in periodic case”, Sib. Zh. Vychisl. Mat., 25:2 (2022), 97–109; Num. Anal. Appl., 15:2 (2022), 79–89
Citation in format AMSBIB
\Bibitem{Gay22}
\by R.~K.~Gaydukov
\paper Numerical algorithm for solving Prandtl equations with induced pressure in periodic case
\jour Sib. Zh. Vychisl. Mat.
\yr 2022
\vol 25
\issue 2
\pages 97--109
\mathnet{http://mi.mathnet.ru/sjvm799}
\crossref{https://doi.org/10.15372/SJNM20220201}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4461417}
\transl
\jour Num. Anal. Appl.
\yr 2022
\vol 15
\issue 2
\pages 79--89
\crossref{https://doi.org/10.1134/S199542392202001X}
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