Numerical Strategies for Stroke Optimization of Axisymmetric Microswimmers

Details Numerical Strategies for Stroke Optimization of Axisymmetric Microswimmers Numerical Strategies for Stroke Optimization of Axisymmetric Microswimmers

2009-06-24

arxiv.org/abs/0906.4502v3

Mathematics

Numerical Analysis

34 pages, 15 figures. v2: Fixed a reference and eliminated journal style file. v3: Addressed referee's comments.

Scientific paper

We propose a computational method to solve optimal swimming problems, based on the boundary integral formulation of the hydrodynamic interaction between swimmer and surrounding fluid and direct constrained minimization of the energy consumed by the swimmer. We apply our method to axisymmetric model examples. We consider a classical model swimmer (the three-sphere swimmer of Golestanian et al.) as well as a novel axisymmetric swimmer inspired by the observation of biological micro-organisms.

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