Numerical Strategies for Stroke Optimization of Axisymmetric Microswimmers
Numerical Analysis
2010-04-19 v3 Optimization and Control
Abstract
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.
Cite
@article{arxiv.0906.4502,
title = {Numerical Strategies for Stroke Optimization of Axisymmetric Microswimmers},
author = {François Alouges and Antonio DeSimone and Luca Heltai},
journal= {arXiv preprint arXiv:0906.4502},
year = {2010}
}
Comments
34 pages, 15 figures. v2: Fixed a reference and eliminated journal style file. v3: Addressed referee's comments.