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.
Accepted:
Published online:
Luca Berti 1; Vincent Chabannes 1; Laetitia Giraldi 2; Christophe Prud’homme 1
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@article{CRMATH_2021__359_9_1119_0,
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},
}
TY - JOUR AU - Luca Berti AU - Vincent Chabannes AU - Laetitia Giraldi AU - Christophe Prud’homme TI - Modelling and finite element simulation of multi-sphere swimmers JO - Comptes Rendus. Mathématique PY - 2021 SP - 1119 EP - 1127 VL - 359 IS - 9 PB - Académie des sciences, Paris DO - 10.5802/crmath.234 LA - en ID - CRMATH_2021__359_9_1119_0 ER -
%0 Journal Article %A Luca Berti %A Vincent Chabannes %A Laetitia Giraldi %A Christophe Prud’homme %T Modelling and finite element simulation of multi-sphere swimmers %J Comptes Rendus. Mathématique %D 2021 %P 1119-1127 %V 359 %N 9 %I Académie des sciences, Paris %R 10.5802/crmath.234 %G en %F CRMATH_2021__359_9_1119_0
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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