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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)
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DOI: https://doi.org/10.31857/S004446690003539-3
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
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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