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Comptes Rendus. Mathématique
Numerical analysis, Partial differential equations
Modelling and finite element simulation of multi-sphere swimmers
Comptes Rendus. Mathématique, Volume 359 (2021) no. 9, pp. 1119-1127.

We propose a numerical method for the finite element simulation of micro-swimmers composed of several rigid bodies moving relatively to each other. Three distinct formulations are proposed to impose the relative velocities between the rigid bodies. We validate our model on the three-sphere swimmer, for which analytical results are available.

Dans cet article nous proposons une méthode numérique pour la simulation aux éléments finis d’une classe de micro-nageurs. Ces nageurs sont composés par différents corps rigides qui peuvent bouger les uns par rapport aux autres. Nous appliquons notre méthode sur un exemple de micro-nageur connu sous le nom de Three-sphere swimmer.

Published online:
DOI: 10.5802/crmath.234
Classification: 65M60,  74F10,  76D07,  76M10
Luca Berti 1; Vincent Chabannes 1; Laetitia Giraldi 2; Christophe Prud’homme 1

1 Cemosis, IRMA UMR 7501, CNRS, Université de Strasbourg, France
2 CALISTO team, INRIA, Université Côte d’Azur, France
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
     author = {Luca Berti and Vincent Chabannes and Laetitia Giraldi and Christophe Prud{\textquoteright}homme},
     title = {Modelling and finite element simulation of multi-sphere swimmers},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1119--1127},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {9},
     year = {2021},
     doi = {10.5802/crmath.234},
     language = {en},
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Luca Berti; Vincent Chabannes; Laetitia Giraldi; Christophe Prud’homme. Modelling and finite element simulation of multi-sphere swimmers. Comptes Rendus. Mathématique, Volume 359 (2021) no. 9, pp. 1119-1127. doi : 10.5802/crmath.234. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.234/

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