Numerical model for moving solid-liquid boundary based on the lattice Boltzmann method and applications to particulate flow systems

Computational fluid dynamics has been increasingly adopted as a promising tool to understand the essential dynamics of particulate flow. The present review gives a brief description of numerical methods to describe the boundary condition of moving solid surface at lattice Boltzmann method (LBM), including bounce-back (BB) method (and improved BB method), immersed boundary (IB) method, and smoothed profile (SP) method. It is essential to choose an appropriate numerical method according to the target system. Among these methods, the author and coworkers have used the SP method to efficiently simulate flows including a number of particles. Here, typical results obtained by the SP-LBM simulations are presented.