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Efficient simulation of filament elastohydrodynamics in three dimensions

Walker, BJ; Ishimoto, K; Gaffney, EA; (2020) Efficient simulation of filament elastohydrodynamics in three dimensions. Physical Review Fluids , 5 (12) , Article 123103. 10.1103/PhysRevFluids.5.123103. Green open access

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Abstract

Fluid-structure simulations of slender inextensible filaments in a viscous fluid are often plagued by numerical stiffness. Recent coarse-graining studies have reduced the computational requirements of simulating such systems, though they have thus far been limited to the motion of planar filaments. In this paper we extend such frameworks to filament motion in three dimensions, identifying and circumventing coordinate-system singularities introduced by filament parametrization via repeated changes of basis. The resulting methodology enables efficient and rapid study of the motion of flexible filaments in three dimensions, and is readily extensible to a wide range of problems, including filament motion in confined geometries, large-scale active matter simulations, and the motility of mammalian spermatozoa.

Type: Article
Title: Efficient simulation of filament elastohydrodynamics in three dimensions
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevFluids.5.123103
Publisher version: https://doi.org/10.1103/PhysRevFluids.5.123103
Language: English
Additional information: © 2022 American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (https://creativecommons.org/licenses/by/4.0/).
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10141572
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