Swimming at Low Reynolds Number

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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Submitted on : Wednesday, November 27, 2019 - 8:48:36 AM
Last modification on : Thursday, December 5, 2019 - 3:10:17 PM

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  • HAL Id : hal-02369537, version 1
  • ARXIV : 1911.12213

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Luca Berti, Laetitia Giraldi, Christophe Prud'Homme. Swimming at Low Reynolds Number. ESAIM: Proceedings and Surveys, EDP Sciences, 2019, pp.1 - 10. ⟨hal-02369537⟩

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