Numerical Strategies for Stroke Optimization of Axisymmetric\n Microswimmers

2009/06/24 by François Alouges, Antonio DeSimone, Alouges, François +3
Engineering · Mathematics · Physics and Astronomy · #74S15 #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Lattice Boltzmann Simulation Studies #Micro and Nano Robotics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.0906.4502

openalex publication_date 2009/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• deal.II—A general-purpose object-oriented finite element library
• Numerical optimization

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