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arXiv · 1911.12213

Swimming at Low Reynolds Number

Luca Berti·Laetitia Giraldi·Christophe Prud'Homme
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Abstract

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.

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Luca Berti, Laetitia Giraldi, Christophe Prud'Homme. 2019-11-27. Swimming at Low Reynolds Number. https://arxiv.org/abs/1911.12213

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