Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 4, Pages 644–657
DOI: https://doi.org/10.31857/S0044466921040141 (Mi zvmmf11227) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical physics

Elaboration of the fast boundary element method for 3D simulation of the dynamics of a bubble cluster with solid particles in an acoustic field

I. A. Zarafutdinov, Yu. A. Pityuk, O. A. Solnyshkina

Center for Micro- and nanoscale dynamics of dispersed systems, Bashkir State University, Ufa
Full-text PDF Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S0044466921040141
Abstract: An efficient numerical approach to the study of the dynamics of a cluster containing bubbles and solid particles under the action of an acoustic field in the 3D case is presented. The numerical method is a combination of the boundary element method (BEM) and the fast multipole method (FMM) for the Laplace equation. The hardware acceleration of the computation of a bubble cluster doped with solid particles is achieved due to parallel computations on graphics processing units (GPU). The efficiency of the proposed method is confirmed by computations for a structured cubic cluster consisting of bubbles and solid spherical particles. The dynamics of the bubble cluster depending on its size is analyzed, and it is shown that as the cluster size increases, the mobility of the bubbles and particles, the amplitude of the change in the cluster volume, the volume of individual bubbles, and the deformation of outermost bubbles of the cluster decrease.
Key words: bubble, solid particle, acoustic field, potential flow, boundary element method, fast multipole method (FMM), graphics processing units (GPU).
Funding agency Grant number
Russian Science Foundation 18-71-00068
This work was supported by the Russian Science Foundation, project no. 18-71-00068.
Received: 13.05.2020
Revised: 13.08.2020
Accepted: 18.11.2020
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 4, Pages 625–637
DOI: https://doi.org/10.1134/S0965542521040138
Bibliographic databases:
Document Type: Article
UDC: 519.635
Language: Russian
Citation: I. A. Zarafutdinov, Yu. A. Pityuk, O. A. Solnyshkina, “Elaboration of the fast boundary element method for 3D simulation of the dynamics of a bubble cluster with solid particles in an acoustic field”, Zh. Vychisl. Mat. Mat. Fiz., 61:4 (2021), 644–657; Comput. Math. Math. Phys., 61:4 (2021), 625–637
Citation in format AMSBIB
\Bibitem{ZarPitSol21}
\by I.~A.~Zarafutdinov, Yu.~A.~Pityuk, O.~A.~Solnyshkina
\paper Elaboration of the fast boundary element method for 3D simulation of the dynamics of a bubble cluster with solid particles in an acoustic field
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2021
\vol 61
\issue 4
\pages 644--657
\mathnet{http://mi.mathnet.ru/zvmmf11227}
\crossref{https://doi.org/10.31857/S0044466921040141}
\elib{https://elibrary.ru/item.asp?id=45545425}
\transl
\jour Comput. Math. Math. Phys.
\yr 2021
\vol 61
\issue 4
\pages 625--637
\crossref{https://doi.org/10.1134/S0965542521040138}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000656207700009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85107059097}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11227
  • https://www.mathnet.ru/eng/zvmmf/v61/i4/p644
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025