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.

颗粒物流动发生在各种自然和技术环境中。从科学和工程的角度来看，了解影响流动特性的因素以及如何操纵它们具有重要意义。在本文中，我们回顾了格子玻尔兹曼方法与平滑轮廓方法（LBM-SPM）的结合，这是研究含颗粒系统的有前景的模拟方法之一。我们介绍了 LBM-SPM 的背景理论和数值方案，然后回顾了该方法在颗粒流中的几种应用；悬浮液流变学、流内颗粒的沉积和堵塞，以及非牛顿介质和流体界面中颗粒的动力学。最后，我们证实了 LBM-SPM 用于研究颗粒流的多功能性和可行性。