The behavior of a single and pair of solid particles in particulate flow has been analyzed for different particle shapes. Five different particle shapes are considered which include triangle, ellipse, rectangle, square and a star. Results for each shape are presented by varying their orientations (angle). Numerical experiments are performed for pairs of falling particles which are about to collide and interacting with each other subject to the hydrodynamic forces and the gravitational force. Current study helps in determining the trajectories of different shaped particles and interactions of particle pair with each other while settling in a fluid channel. The hydrodynamic forces acting on the surface of a single falling particle have been calculated using an explicit volume integral approach and the results for drag and lift coefficients have been presented. An Eulerian approach consisting of fixed background mesh has been used in this work. The interaction between particles and fluid has been determined using a fictitious boundary method (FBM). A collision model proposed by Glowinski et al. is used to handle particle-particle interactions. The simulations of particulate flow are carried out using a multigrid finite element solver FEATFLOW.

针对不同颗粒形状，分析了颗粒流中单个和一对固体颗粒的行为。考虑了五种不同的颗粒形状，包括三角形、椭圆形、矩形、正方形和星形。每种形状的结果通过改变其方向（角度）来呈现。对即将在水动力和重力作用下相互碰撞和相互作用的成对下落粒子进行数值实验。目前的研究有助于确定不同形状颗粒的轨迹以及在流体通道中沉降时颗粒对之间的相互作用。使用显式体积积分方法计算了作用在单个下落颗粒表面上的流体动力，并给出了阻力和升力系数的结果。这项工作使用了由固定背景网格组成的欧拉方法。颗粒和流体之间的相互作用已使用虚拟边界法 (FBM) 确定。Glowinski 等人提出的碰撞模型。用于处理粒子与粒子之间的相互作用。使用多重网格有限元求解器 FEATFLOW 进行颗粒流模拟。