Swimming at Low Reynolds Number

Swimming at Low Reynolds Number. Berti, L., Giraldi, L., & Prud'Homme, C. arXiv:1911.12213 [physics], November, 2019. arXiv: 1911.12213

Paper abstract bibtex

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.

@article{berti_swimming_2019,
	title = {Swimming at {Low} {Reynolds} {Number}},
	url = {http://arxiv.org/abs/1911.12213},
	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.},
	urldate = {2019-12-03},
	journal = {arXiv:1911.12213 [physics]},
	author = {Berti, Luca and Giraldi, Laetitia and Prud'Homme, Christophe},
	month = nov,
	year = {2019},
	note = {arXiv: 1911.12213},
	keywords = {Mathematics - Analysis of PDEs, Physics - Fluid Dynamics, mentions sympy},
}

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