TY - JOUR

T1 - The accuracy of numerical simulation of the acoustic wave propagations in a liquid medium based on Navier-Stokes equations

AU - Kozelkov, A. S.

AU - Krutyakova, O. L.

AU - Kurulin, V. V.

AU - Strelets, D. Yu

AU - Shishlenin, M. A.

N1 - Funding Information: The work of A.S. Kozelkov and M.A. Shishlenin was supported by RSCF under grant 19-1100154 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 ofWorld-Class Scientific Center Supersonic in 2020-2022 with financial support of the Russian Ministry of Education and Science (Agreement No 19-1100154 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). Publisher Copyright: © 2021 Kozelkov A.S., Krutyakova O.L., Kurulin V.V., Strelets D.Yu., Shishlenin M.A.

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - hydroacoustics

KW - numerical simulation

KW - Navier-Stokes equations

KW - method SIMPLE

KW - finite-volume discretization

KW - numerical dissipation

KW - Logos software package

KW - acoustic tomography

KW - TRAVEL-TIME TOMOGRAPHY

KW - PARALLEL IMPLEMENTATION

KW - NOISE

KW - ALGORITHM

KW - RECONSTRUCTION

KW - DYNAMICS

KW - SCHEMES

KW - FLOWS

KW - Navier-stokes equations

KW - Method simple

KW - Hydroacoustics

KW - Finite-volume discretization

KW - Acoustic tomography

KW - Numerical dissipation

KW - Numerical simulation

UR - http://www.scopus.com/inward/record.url?scp=85124161713&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=47669569

U2 - 10.33048/SEMI.2021.18.094

DO - 10.33048/SEMI.2021.18.094

M3 - Article

VL - 18

SP - 1238

EP - 1250

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 2

M1 - 44

ER -