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, 2018, Volume 58, Number 11, Pages 1876–1888
DOI: https://doi.org/10.31857/S004446690003539-3
(Mi zvmmf10844)
 

This article is cited in 4 scientific papers (total in 4 papers)

Mathematical modelling of flagellated microswimmers

M. A. Zaitseva, S. A. Karabasovb

a Nuclear Safety Institute, Russian Academy of Sciences, Moscow, Russia
b Queen Mary University of London, Mile End, London, UK
Citations (4)
References:
Abstract: The motion of a flagellated microorganism in a free space based on specifying the space-time shape of its centreline is studied. To solve the governing Stokes equations subject to non-slip boundary conditions on the microorganism body, a computational algorithm based on the finite element method is proposed. Results of computations on meshes of various density, domains of various sizes, and the solution of the benchmark problem of flow around the Stokes sphere used for verification are presented. Using the Lighthill–Gueron–Liron theory, a semi-analytical solution of the same problem of motion of a flagellated microorganism in which the corresponding coefficients of viscous drag are found by additional test computations is obtained. It is shown that the theory and the results of direct numerical simulation are in good agreement.
Key words: microswimmers, Stokes equations, finite element method, simulation.
Funding agency Grant number
EU Framework Programme for Research and Innovation 703526
Received: 17.02.2017
Revised: 10.12.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 11, Pages 1804–1816
DOI: https://doi.org/10.1134/S0965542518110167
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. A. Zaitsev, S. A. Karabasov, “Mathematical modelling of flagellated microswimmers”, Zh. Vychisl. Mat. Mat. Fiz., 58:11 (2018), 1876–1888; Comput. Math. Math. Phys., 58:11 (2018), 1804–1816
Citation in format AMSBIB
\Bibitem{ZaiKar18}
\by M.~A.~Zaitsev, S.~A.~Karabasov
\paper Mathematical modelling of flagellated microswimmers
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2018
\vol 58
\issue 11
\pages 1876--1888
\mathnet{http://mi.mathnet.ru/zvmmf10844}
\crossref{https://doi.org/10.31857/S004446690003539-3}
\elib{https://elibrary.ru/item.asp?id=38641501}
\transl
\jour Comput. Math. Math. Phys.
\yr 2018
\vol 58
\issue 11
\pages 1804--1816
\crossref{https://doi.org/10.1134/S0965542518110167}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000452301900010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85058846608}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10844
  • https://www.mathnet.ru/eng/zvmmf/v58/i11/p1876
  • This publication is cited in the following 4 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
    Statistics & downloads:
    Abstract page:158
    References:32
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024