Periodic Green's Functions of Stokes Flow: Applications to Microswimmers
Periodic Green's Functions of Stokes Flow: Applications to Microswimmers
- Event time: 11:30am
- Event date: 20th January 2016
- Speaker: Joost de Graaf (Formerly School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
Event details
In this theory club, we will consider the derivation of the fundamental solution to the Stokes equation in a periodic system. We follow the approach put forward by C. Pozrikidis [J. Eng. Math. 30, 79 (1996)], which is based on an Ewald-type splitting of the conditionally convergent sum over the images. The results of the derivation are subsequently used to consider the entrainment of tracer particles by microswimmers in a periodic system. This enables verification of similar trajectories obtained by means of the lattice-Boltzmann sub-grid swimmer algorithm developed by R. Nash et al. [Phys. Rev. E 77, 026709 (2008)].
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