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Sibirskii Zhurnal Industrial'noi Matematiki, 2023, Volume 26, Number 1, Pages 55–64
DOI: https://doi.org/10.33048/SIBJIM.2023.26.105 (Mi sjim1212) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Numerical simulation of elastic turbulence in a confined two-dimensional cell

V. V. Denisenko, S. V. Fortova

Institute for Computer Aided Design RAS, ul. 2-ya Brestckaya 19/18, Moscow 123056, Russia
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DOI: https://doi.org/10.33048/SIBJIM.2023.26.105
Abstract: A numerical model that approximates the system of equations of a viscous fluid with the use of polymeric molecules is described. This model is hybrid and is based on the application of Godunov linearized and finite-difference schemes. This scheme is used to calculate a Kolmogorov-type problem - a viscous flow in a confined area (a square cell) under the action of an external periodic force. The flow with and without impurity is compared, the behavior of polymer molecules in different flow regions is studied. A transition regime characterized by almost complete stretching of molecules in regions of high velocity gradient is obtained.
Keywords: numerical methods in hydrodynamics, elastic turbulence, hydrodynamic instability, non-Newtonian fluid, Kolmogorov’s problem. .
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation AAAA-A19-119041590048-0
Received: 22.08.2022
Revised: 22.08.2022
Accepted: 29.09.2022
English version:
Journal of Applied and Industrial Mathematics, 2023, Volume 17, Issue 1, Pages 434–50
DOI: https://doi.org/10.1134/S1990478923010052
Document Type: Article
UDC: 532.5
Language: Russian
Citation: V. V. Denisenko, S. V. Fortova, “Numerical simulation of elastic turbulence in a confined two-dimensional cell”, Sib. Zh. Ind. Mat., 26:1 (2023), 55–64; J. Appl. Industr. Math., 17:1 (2023), 434–50
Citation in format AMSBIB
\Bibitem{DenFor23}
\by V.~V.~Denisenko, S.~V.~Fortova
\paper Numerical simulation of elastic turbulence in a confined two-dimensional cell
\jour Sib. Zh. Ind. Mat.
\yr 2023
\vol 26
\issue 1
\pages 55--64
\mathnet{http://mi.mathnet.ru/sjim1212}
\crossref{https://doi.org/10.33048/SIBJIM.2023.26.105}
\transl
\jour J. Appl. Industr. Math.
\yr 2023
\vol 17
\issue 1
\pages 434--50
\crossref{https://doi.org/10.1134/S1990478923010052}
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    		Сибирский журнал индустриальной математики
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