Comptes Rendus
Analyse numérique, Équations aux dérivées partielles
Modelling and finite element simulation of multi-sphere swimmers
Comptes Rendus. Mathématique, Volume 359 (2021) no. 9, pp. 1119-1127.

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.

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.

Reçu le :
Accepté le :
Publié le :
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
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     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},
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     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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