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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 1238–1250
DOI: https://doi.org/10.33048/semi.2021.18.094 (Mi semr1435) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Computational mathematics

The accuracy of numerical simulation of the acoustic wave propagations in a liquid medium based on Navier-Stokes equations

A. S. Kozelkovabc, O. L. Krutyakovaa, V. V. Kurulina, D. Yu. Streletsc, M. A. Shishleninde

a Russian Federal Nuclear Center, All-Russian Research Institute of Experimental Physics (FSUE RFNC-VNIIEF), 37, Mira ave., Sarov, Nizhny Novgorod region, 607188, Russia
b Nizhny Novgorod State Technical University, 24, Minin str., Nizhny Novgorod, 603950, Russia
c Moscow Aviation Institute (National Research University) 4, Volokolamskoe shosse, Moscow, 125993, Russia
d Institute of Computational Mathematics and Mathematical Geophysics, 6, Acad. Lavrent'yev ave., Novosibirsk, 630090, Russia
e Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.094
Abstract: The space and time resolution needed to simulate the propagation of acoustic perturbations in a liquid medium is estimated. The dependence of the solution accuracy on the parameters of an iterative procedure and a numerical discretization of the equations is analyzed. As a numerical method, a widely used method called SIMPLE is used together with a finite-volume discretization of the equations. A problem of propagation of perturbations in a liquid medium from a harmonic source of oscillations is considered for the estimation. Estimates of the required space and time resolution are obtained to provide an acceptable accuracy of the solution. The estimates are tested using the problem of propagation of harmonic waves from a point source in a liquid medium.
Keywords: hydroacoustics, numerical simulation, Navier-Stokes equations, method SIMPLE, finite-volume discretization, numerical dissipation, Logos software package, acoustic tomography.
Funding agency Grant number
Russian Science Foundation 19-11-00154
Ministry of Science and Higher Education of the Russian Federation 075-15-2020-924
The work of A.S. Kozelkov and M.A. Shishlenin was supported by RSCF under grant 19-11-00154 “Developing of new mathematical models of acoustic tomography in medicine. Numerical methods, HPC and software”. The work of A.S. Kozelkov and D.Yu. Strelets was supported by the Program for Creation and Development of World-Class Scientific Center “Supersonic” in 2020-2022 with financial support of the Russian Ministry of Education and Science (Agreement № 075-15-2020-924 dated 16.11.2020). The results of A.S. Kozelkov, O.L. Krutyakova and V.V. Kurulin have been obtained with financial support from the Science & Universities National Project under the Young Scientists Lab Program of the RF Ministry of Education and Science (Research Topic: Development of CFD methods, models and algorithms to simulate liquids and gases in natural and industrial environments under normal and critical conditions on petascale supercomputers).
Received October 5, 2021, published November 17, 2021
Bibliographic databases:
Document Type: Article
UDC: 519.63
MSC: 65M08
Language: English
Citation: A. S. Kozelkov, O. L. Krutyakova, V. V. Kurulin, D. Yu. Strelets, M. A. Shishlenin, “The accuracy of numerical simulation of the acoustic wave propagations in a liquid medium based on Navier-Stokes equations”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1238–1250
Citation in format AMSBIB
\Bibitem{KozKruKur21}
\by A.~S.~Kozelkov, O.~L.~Krutyakova, V.~V.~Kurulin, D.~Yu.~Strelets, M.~A.~Shishlenin
\paper The accuracy of numerical simulation of the acoustic wave propagations in a liquid medium based on Navier-Stokes equations
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 1238--1250
\mathnet{http://mi.mathnet.ru/semr1435}
\crossref{https://doi.org/10.33048/semi.2021.18.094}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000734395000014}
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