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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 3, Pages 424–435
DOI: https://doi.org/10.31857/S004446692303002X
(Mi zvmmf11525)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical physics

On a flow around a cylinder over uneven bottom

N. D. Baikov, A. G. Petrov

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, 119526, Moscow, Russia
Citations (1)
Abstract: A plane problem of a potential fluid flow around a cylinder of arbitrary section over an uneven bottom with a flow velocity at infinity directed parallel to the bottom is considered. The circulation of the velocity field is determined from Goldshtik’s postulate: the maximum velocity on the contour of the cylinder must be minimal. Two numerical schemes of the boundary element method are developed for solving this problem. The first scheme determines the flow on a bounded but arbitrarily defined bottom surface. The second scheme determines the flow around a contour in a half plane. The comparison of calculations using these numerical schemes with the exact solutions shows the convergence of the method as the grid elements increase. The pressure on the cylinder surface and on the bottom obtained using numerical calculations by the $k$$\omega$ model is compared with experimental data. Streamlines are also compared taking into account the separation region.
Key words: potential fluid flow, flow around bodies, circulation, boundary element method.
Funding agency Grant number
Russian Science Foundation 22-21-00833
This work was supported by the Russian Science Foundation, project no. 22-21-00833.
Received: 16.04.2022
Revised: 26.07.2022
Accepted: 14.11.2022
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 3, Pages 401–412
DOI: https://doi.org/10.1134/S0965542523030028
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: N. D. Baikov, A. G. Petrov, “On a flow around a cylinder over uneven bottom”, Zh. Vychisl. Mat. Mat. Fiz., 63:3 (2023), 424–435; Comput. Math. Math. Phys., 63:3 (2023), 401–412
Citation in format AMSBIB
\Bibitem{BaiPet23}
\by N.~D.~Baikov, A.~G.~Petrov
\paper On a flow around a cylinder over uneven bottom
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 3
\pages 424--435
\mathnet{http://mi.mathnet.ru/zvmmf11525}
\crossref{https://doi.org/10.31857/S004446692303002X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4582774}
\elib{https://elibrary.ru/item.asp?id=50435762}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 3
\pages 401--412
\crossref{https://doi.org/10.1134/S0965542523030028}
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  • https://www.mathnet.ru/eng/zvmmf/v63/i3/p424
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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