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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2019, Volume 22, Number 3, Pages 261–280
DOI: https://doi.org/10.15372/SJNM20190302 (Mi sjvm714) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Simulation of body motion in viscous incompressible fluid

A. S. Kozelkovab, V. R. Efremovc, A. A. Kurkinb, N. V. Tarasovaa, D. A. Utkina, E. S. Tyatyushkinab

a All-Russian Research Institute of Experimental Physics of the Russian Federal Nuclear Center, pr. Mira 37, Nizhegorodskaya oblast, Sarov, 607188 Russia
b Alekseev Nizhny Novgorod State Technical University, ul. Minina 24, Nizhny Novgorod, 603950 Russia
c Shipunov Instrument Design Bureau, ul. Shcheglovskaya Zaseka 59, Tula, 300001 Russia
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DOI: https://doi.org/10.15372/SJNM20190302
Abstract: The description of a method for modeling the motion of bodies in a viscous incompressible fluid with the use of counting technology on grids with overlapping (“chimera” technology) is given. Equations describing the flow of a viscous incompressible fluid are approximated by the finite volume method on an arbitrary unstructured grid. Their iterative solution is implemented using the SIMPLE algorithm. The description of the basic equations in the case of grid motion is given in this paper. The features of realizing the conditions on the boundaries of the grid regions that are established during the construction of the interpolation template are described. A method for overcoming numerical instability in the use of a rigid body model is demonstrated. The feature of taking into account the forces of gravitation in the case of the presence of multiphase media is described. The results of solving the problem of the motion of a cylinder in a fluid, the problem of the drop of a sphere into a fluid, and the problem of the ship’s model flooding are presented.
Key words: chimera methodology, SIMPLE method, unstructured grid, multiphase, rigid body.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00267_а
Ministry of Education and Science of the Russian Federation НШ-2685.2018.5
МД-4874.2018.9
5.4568.2017/6.7
5.1246.2017/4.6
The work was performed under a state assignment in the field of scientific activity (project nos. 5.4568.2017/6.7 and 5.1246.2017/4.6) and supported by RFBR (project no. 16-01-00267), by the Council for Grants (under RF President) and State Aid of Leading Scientific Schools (grant NSh2685.2018.5), and by the Grants Council (under RF President), grant no. MD-4874.2018.9.
Received: 03.04.2018
Revised: 04.09.2018
Accepted: 07.05.2019
English version:
Numerical Analysis and Applications, 2019, Volume 12, Issue 3, Pages 219–233
DOI: https://doi.org/10.1134/S1995423919030029
Bibliographic databases:
Document Type: Article
UDC: 519.6, 532.5
Language: Russian
Citation: A. S. Kozelkov, V. R. Efremov, A. A. Kurkin, N. V. Tarasova, D. A. Utkin, E. S. Tyatyushkina, “Simulation of body motion in viscous incompressible fluid”, Sib. Zh. Vychisl. Mat., 22:3 (2019), 261–280; Num. Anal. Appl., 12:3 (2019), 219–233
Citation in format AMSBIB
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