Comptes Rendus. Mathématique (Nov 2021)

Modelling and finite element simulation of multi-sphere swimmers

  • Berti, Luca,
  • Chabannes, Vincent,
  • Giraldi, Laetitia,
  • Prud’homme, Christophe

DOI
https://doi.org/10.5802/crmath.234
Journal volume & issue
Vol. 359, no. 9
pp. 1119 – 1127

Abstract

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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.