Simulation of particle dynamics in a viscous fluid near a plane wall

A method was developed (and implemented as a software package) for the numerical simulation of the dynamics of a large number of particles in a viscous flow near a plane wall. The fluid motion is considered in the Stokes approximation with allowance for the hydrodynamic interaction of all the particles. The velocities and trajectories of the particles are computed, and fluid streamlines are constructed. In the case of even two particles falling onto the wall, it is found that a complex vortex flow is formed between them. This gives rise to the particles having a velocity component along the wall. The dynamics of a group of several dozen particles moving parallel and perpendicular to the wall are simulated.