A framework for simulating particle-particle particle-wall interactions in suspensions with irregular particles

An efficient direct numerical simulation method is developed to study the sedimentation of non-spherical particles in an incompressible Newtonian fluid. A new strategy is presented to model wall-particle collision based on 3D dynamics of a rigid particle, which complements the particle-particle collision model developed for low Stokes number flows. For non-spherical particles, contrary to spherical particles, upon the collision of a particle with a~wall, particle's orientation needs to be determined.~ In the presented method, kinematics of an arbitrary-shaped particle is solved considering particle's inertia and hydrodynamic forces. This model is used to simulate sedimentation of many particles in a vertical channel as well as suspensions of non-spherical particles under simple shear flow.