Periodic Green's Functions of Stokes Flow: Applications to Microswimmers
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)].
This is a roughly weekly series of didactical blackboard talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics..