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Simulation of Body Motion in Viscous Incompressible Fluid

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Abstract

The paper presents a description of a method for simulation of the motion of bodies in viscous incompressible fluid with the use of a technique of computation on overset grids (“chimera” technique). Equations describing the flow of viscous incompressible fluid are approximated by the finite volume method on an arbitrary unstructured grid. Their iterative solution is implemented using the algorithm SIMPLE. This paper describes the basic equations in the case of moving grid. The features of implementation of grid boundary conditions that are set in the course of construction of interpolation pattern are described. A method for overcoming numerical instability when a solid body model is used is demonstrated. The specificity of taking into account the forces of gravitation in the presence of multiphase media is described. The results of solving the problem of motion of cylinder in fluid, fall of sphere into fluid, and flooding of a ship's model are presented.

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Funding

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 NSh-2685.2018.5), and by the Grants Council (under RF President), grant no. MD-4874.2018.9.

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Authors and Affiliations

  1. All-Russian Research Institute of Experimental Physics of the Russian Federal Nuclear Center, pr. Mira 37, Nizhegorodskaya oblast, Sarov, 607188, Russia

    A. S. Kozelkov, N. V. Tarasova & D. A. Utkin

  2. Alekseev Nizhny Novgorod State Technical University, ul. Minina 24, Nizhny Novgorod, 603950, Russia

    A. S. Kozelkov, A. A. Kurkin & E. S. Tyatyushkina

  3. Shipunov Instrument Design Bureau, ul. Shcheglovskaya Zaseka 59, Tula, 300001, Russia

    V. R. Efremov

Authors
  1. A. S. Kozelkov
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  2. V. R. Efremov
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  3. A. A. Kurkin
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  4. N. V. Tarasova
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  5. D. A. Utkin
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  6. E. S. Tyatyushkina
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Corresponding authors

Correspondence to A. S. Kozelkov, V. R. Efremov, A. A. Kurkin, N. V. Tarasova, D. A. Utkin or E. S. Tyatyushkina.

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Russian Text © The Author(s), 2019, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2019, Vol. 22, No. 3, pp. 259–276.

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Kozelkov, A.S., Efremov, V.R., Kurkin, A.A. et al. Simulation of Body Motion in Viscous Incompressible Fluid. Numer. Analys. Appl. 12, 219–233 (2019). https://doi.org/10.1134/S1995423919030029

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  • DOI: https://doi.org/10.1134/S1995423919030029

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