摘要：颗粒流动在自然界中和各种工业过程中广泛存在,但人们对于其机理认识的还不深入。描述颗粒运动的模型有很多,连续介质模型应用简单但准确性比较低,离散微粒学模型是近来人们研究的一个热点,以每个颗粒为考察对象,能够更准确地反应颗粒系统的性质。本文介绍了描述颗粒流动的模型,概述了各模型的理论和应用,通过对多种模型的比较可以看到,每个模型都有一定的使用范围,要更准确、更方便地描述颗粒系统的运动,还要进行深入地研究。

关键词： 颗粒运动；数学模型；模型比较

Abstract: The granular materials are utilized in a wide variety of industrial applications. The complex hydrodynamics of granular flow is still not fully understood. The models for particle flow are reviewed including continuum mechanics methods and discrete mechanics methods. The continuum mechanics methods are simple but have low accuracy. The discrete mechanics methods are fully based on the Lagrangian approach for the simulation of motion of granular material on the microscopic level of particles, and can describe the motion of particles more accurately. The theory and the applications of these models are briefly described. It is clear that every model has its own application range. It needs to make a further research on the model for particle flow in order to describe the motion of granular materials more factually and conveniently. 

Keywords: particle flow;simulation; comparison of models