Wilson, HJ;
(2013)
Stokes flow past three spheres.
Journal of Computational Physics
, 245
302 - 316.
10.1016/j.jcp.2013.03.020.
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Abstract
In this paper we present a numerical method to calculate the dynamics of three spheres in a quiescent viscous fluid. The method is based on Lamb’s solution to Stokes flow and the Method of Reflections, and is arbitrarily accurate given sufficient computer memory and time. It is more accurate than multipole methods, but much less efficient. Although it is too numerically intensive to be suitable for more than three spheres, it can easily handle spheres of different sizes. We find no convergence difficulties provided we study mobility problems, rather than resistance problems. After validating against the existing literature, we make a direct comparison with Stokesian Dynamics (SD), and find that the largest errors in SD occur at a sphere separation around 0.1 radius. Finally, we present results for an example system having different-sized spheres.
| Type: | Article |
|---|---|
| Title: | Stokes flow past three spheres |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jcp.2013.03.020 |
| Publisher version: | http://dx.doi.org/10.1016/j.jcp.2013.03.020 |
| Language: | English |
| Additional information: | This is the author’s version of a work that was accepted for publication in Journal of Computational Physics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational Physics, [VOL 245,(July 2013)] DOI: 10.1016/j.jcp.2013.03.020 |
| Keywords: | Viscous flow, Spherical particles, Method of Reflections, Stokesian Dynamics |
| 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/1400944 |
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