Stokesian Dynamics of Arbitrary-Shape Passive and Active Particles in Linear Flow: Constraint and Rigid Body Approaches

Passive and active small particles present in natural or technological flow-driven processes are typically of arbitrary shape. The physical properties of such processes depend ultimately on the particle dynamics, which in turn is greatly influenced by particle shape through hydrodynamic interactions (HI). We recently extended two complementary approaches for Stokesian Dynamics (SD) simulations of arbitrary shape particles in quiescent fluid, the constraint SD approach[1] and the rigid body SD approach[2], to the presence of linear flow. Either approach models arbitrary shape particles as groups of primary spheres with HI furnished by any desirable mobility algorithm for spheres[3], but whereas the former is effective for any size flexible particles but only small rigid ones, the latter is useful for any size rigid particles. We describe both extended approaches and show SD simulations results from each.
[1] R. Kutteh, J. Chem. Phys., 2003, 119, 9280; R. Kutteh, Phys. Rev. E, 2004, 69, 011406.
[2] R. Kutteh, J. Chem. Phys., 2010, 132, 174107.
[3] B. Cichocki, R. B. Jones, R. Kutteh, and E. Wajnryb, J. Chem. Phys., 2000, 112, 2548-2561; R. B. Jones and R. Kutteh, Phys. Chem. Chem. Phys., 1999, 1, 2131-2139; R. B. Jones and R. Kutteh, J. Chem. Phys., 2000, 112, 11080-11094