Lattice Boltzmann Numerical Scheme for Transient Hydrodynamics of Solid Particles in an Enclosure

In this paper, a Lagrangian–Lagrangian numerical simulation method for transient hydrodynamics of solid particles in an enclosure is presented. In this numerical scheme, we solve the fluid phase using a mesoscale method of lattice Boltzmann scheme. The particle motion is governed by Newton's law thus following the Lagrangian approach. The dynamics of solid particles in a lid-driven cavity was investigated at a wide range of Reynolds numbers. The results of this study suggest that the particle trajectories are critically dependent on the magnitude of Reynolds Numbers and the vortex behavior in the cavity. Comparisons with other previous studies demonstrate the application diversity of the present scheme.