An Effective Method on Two-Dimensional Lattice Boltzmann Simulations with Moving Boundaries

We propose a lattice Boltzmann scheme for two-dimensional complex boundaries moving in fluid flow. The hydrodynamic forces exerting on the moving boundaries are calculated based on a stress-integration method proposed before, but the extrapolation procedure is avoided, and the
stability of this model is improved. The accuracy and robustness are demonstrated by numerical simulations of a circular particle settling in a two-dimensional vertical channel. The numerical convergence is studied by varying the time-step and the dimensionless particle sizes.