Applications of lattice Boltzmann method combined with smoothed profile method for particulate flows: a brief review

Particulate flows occur in various natural and technological settings. Understanding what influences the flow characteristics and how they can be manipulated is significant from scientific and engineering perspectives. In this paper, we review the lattice Boltzmann method combined with the smoothed profile method (LBM-SPM), one of the promising simulation methods for studying particle-containing systems. We present the background theory and numerical schemes of the LBM-SPM, then review several applications of this method for particulate flows; suspension rheology, deposition and clogging of particles within the flow, and the dynamics of particles in non-Newtonian media and at the fluid interface. Finally, we confirmed the versatility and feasibility of LBM-SPM for investigating particulate flows.