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Swimming at Low Reynolds Number

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arxiv 1911.12213 v1 pith:VY3JHA7Z submitted 2019-11-27 math.AP physics.flu-dyn

Swimming at Low Reynolds Number

classification math.AP physics.flu-dyn
keywords equationsexactnumberreynoldssolutionsolverstokesswimming
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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.

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