Geodesic
Swimming at low Reynolds number
Luca Berti1 ; Laetitia Giraldi2 ; Christophe Prud’homme1
1Institut de Recherche Mathématique Avancée, Strasbourg, France
2Université Côte d’Azur, Inria Sophia-Antipolis, France
ESAIM. Proceedings, Tome 67 (2020), pp. 46-60
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We address the swimming problem at low Reynolds number. This regime, which is typically used for micro-swimmers, is described by Stokes equations. We couple a PDE solver of Stokes equations, derived from the Feel++ finite elements library, to a quaternion-based rigid-body solver. We validate our numerical results both on a 2D exact solution and on an exact solution for a rotating rigid body respectively. Finally, we apply them to simulate the motion of a one-hinged swimmer, which obeys to the scallop theorem.
DOI : 10.1051/proc/202067004

Luca Berti  1   ; Laetitia Giraldi  2   ; Christophe Prud’homme  1

1 Institut de Recherche Mathématique Avancée, Strasbourg, France
2 Université Côte d’Azur, Inria Sophia-Antipolis, France 
@article{EP_2020_67_a4,
     author = {Luca Berti and Laetitia Giraldi and Christophe Prud{\textquoteright}homme},
     title = {Swimming at low {Reynolds} number},
     journal = {ESAIM. Proceedings},
     pages = {46--60},
     year = {2020},
     volume = {67},
     doi = {10.1051/proc/202067004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202067004/}
}
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Luca Berti; Laetitia Giraldi; Christophe Prud’homme. Swimming at low Reynolds number. ESAIM. Proceedings, Tome 67 (2020), pp. 46-60. doi: 10.1051/proc/202067004

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