在低雷诺数下游泳

Luca Berti, L. Giraldi, C. Prud'homme
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引用次数: 2

摘要

我们研究了低雷诺数下的游泳问题。这种状态通常用于微型游泳者,用斯托克斯方程来描述。我们将从feel++有限元库中导出的Stokes方程的PDE求解器与基于四元数的刚体求解器耦合在一起。我们分别在二维精确解和旋转刚体精确解上验证了数值结果。最后,我们应用它们来模拟单铰游泳者的运动,该运动符合扇贝定理。
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Swimming at low Reynolds number
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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