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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2020, Volume 23, Number 1, Pages 1–22
DOI: https://doi.org/10.15372/SJNM20200101 (Mi sjvm729) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Effective implementation of the parallel SIMPLE algorithm based on multigrid method

A. S. Kozelkovab, S. V. Lashkina, A. A. Kurkinb, A. V. Kornevc, A. M. Vyalykha

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 Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993 Russia
Full-text PDF (1143 kB) Citations (7) English version article
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DOI: https://doi.org/10.15372/SJNM20200101
Abstract: This paper deals with the investigation of parallel SIMPLE (Semi-Implicit Method for Pressure Linked Equations) algorithm for the numerical solution of the Navier–Stokes system of equations for viscous incompressible flows. The interprocessor exchange mechanism with mesh decomposition with virtual cells and algebraic multigrid method is presented. The method of distributed matrix storage and the algorithm for matrix-vector operations reducing the number of interprocessor exchanges are presented. The results of a series of the numerical experiments on structured and unstructured grids (including the external aerodynamics problem) are presented. Based on the results obtained, the analysis of the influence of multigrid solver settings on the total algorithm efficiency was made. It was shown that the parallel algorithm for the SIMPLE method based on the algebraic multigrid technique proposed makes possible to efficiently calculate problems on hundreds of processors.
Key words: computational fluid dynamics (CFD), SIMPLE algorithm, multigrid solver, modeling.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 5.4568.2017/6.7
5.1246.2017/4.6
Ministry of Education and Science of the Russian Federation ÍØ-2685.2018.5
ÌÄ-4874.2018.9
Russian Foundation for Basic Research 16-01-00267_à
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 the Council for Grants (under RF President) and State Aid of Leading Scientific Schools (grant NSh-2685.2018.5), by the Grants Council (under RF President), grant no. MD-4874.2018.9, and by RFBR (project no. 16-01-00267).
Received: 12.07.2018
Revised: 07.11.2018
Accepted: 15.10.2019
English version:
Numerical Analysis and Applications, 2020, Volume 13, Issue 1, Pages 1–16
DOI: https://doi.org/10.1134/S1995423920010012
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: Russian
Citation: A. S. Kozelkov, S. V. Lashkin, A. A. Kurkin, A. V. Kornev, A. M. Vyalykh, “Effective implementation of the parallel SIMPLE algorithm based on multigrid method”, Sib. Zh. Vychisl. Mat., 23:1 (2020), 1–22; Num. Anal. Appl., 13:1 (2020), 1–16
Citation in format AMSBIB
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\paper Effective implementation of the parallel SIMPLE algorithm based on multigrid method
\jour Sib. Zh. Vychisl. Mat.
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\vol 23
\issue 1
\pages 1--22
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\crossref{https://doi.org/10.15372/SJNM20200101}
\transl
\jour Num. Anal. Appl.
\yr 2020
\vol 13
\issue 1
\pages 1--16
\crossref{https://doi.org/10.1134/S1995423920010012}
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