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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 6, Pages 1063–1082
DOI: https://doi.org/10.1134/S0044466919060097 (Mi zvmmf10915) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Computation of viscous flow between two arbitrarily moving cylinders of arbitrary cross section

A. O. Kazakovaa, A. G. Petrovb

a Chuvash State University, Cheboksary, 428015 Russia
b Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 117526 Russia
Citations (4)
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DOI: https://doi.org/10.1134/S0044466919060097
Abstract: An algorithm is constructed for numerical study of the plane viscous flow (in the Stokes approximation) between two arbitrarily moving cylinders of arbitrary cross section. The mathematical model of the problem is described by the biharmonic equation, which is reduced, with the help of the Goursat representation, to a system of equations for two harmonic functions. The system is solved numerically by applying the boundary element method without saturation. As a result, the desired biharmonic stream function and the velocity field are determined. Test examples are used to compare the results with well-known exact solutions for circular cylinders.
Key words: viscous flow, Stokes approximation, stream function, biharmonic equation, boundary element method.
Funding agency Grant number
Russian Science Foundation 19-19-00373
This work was supported by the Russian Science Foundation, project no. 19-19-00373.
Received: 11.04.2017
Revised: 30.01.2019
Accepted: 08.02.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 6, Pages 1030–1048
DOI: https://doi.org/10.1134/S0965542519060095
Bibliographic databases:
Document Type: Article
UDC: 519.635
Language: Russian
Citation: A. O. Kazakova, A. G. Petrov, “Computation of viscous flow between two arbitrarily moving cylinders of arbitrary cross section”, Zh. Vychisl. Mat. Mat. Fiz., 59:6 (2019), 1063–1082; Comput. Math. Math. Phys., 59:6 (2019), 1030–1048
Citation in format AMSBIB
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    • This publication is cited in the following 4 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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