On the limitations of some popular numerical models of flagellated microswimmers: importance of long-range forces and flagellum waveform

Royal Society Open Science
C RoraiS Karabasov

Abstract

For a sperm-cell-like flagellated swimmer in an unbounded domain, several numerical models of different fidelity are considered based on the Stokes flow approximation. The models include a regularized Stokeslet method and a three-dimensional finite-element method, which serve as the benchmark solutions for several approximate models considered. The latter include the resistive force theory versions of Lighthill, and Gray and Hancock, as well as a simplified approximation based on computing the hydrodynamic forces exerted on the head and the flagellum separately. It is shown how none of the simplified models is robust enough with regards to predicting the effect of the swimmer head shape change on the swimmer dynamics. For a range of swimmer motions considered, the resulting solutions for the swimmer force and velocities are analysed and the applicability of the Stokes model for the swimmers in question is probed.

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Citations

Jan 11, 2020·Bioinspiration & Biomimetics·Jinan Liu, Haihui Ruan
Jul 28, 2020·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Simon F SchoellerEric E Keaveny

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Software Mentioned

RFT
gmsh
magentablack
OpenMP
magentablackIntel Math Kernel Library

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