摘要
离散系统中的颗粒物在凝并、破碎、冷凝／蒸发、成核、沉积等事件作用下颗粒尺度分布的时间演变由通用动力学方程所描述。该方程为一典型的部分积分微分方程,普通数值方法难以求解。本文详细介绍了求解通用动力学方程的矩方法、分区法、离散法、离散-分区法、Monte Carlo方法等几种算法的原理、优缺点和最新的研究进展,并着重介绍了Monte Carlo算法,包括基于时间驱动Monte Carlo方法、基于事件驱动Monte Carlo方法、常数目法、常体积法以及多重Monte Carlo算法。
The time evolution of particle size distribution （PSD） in dispersed systems is described by the General Dynamic Equation （GDE）, taking accout of coagulation, breakage, condensation/evaporation, nucleation, deposition, etc. GDE is a typical partially integro-differential equation. Consequently, normal numerical methods can hardly be used to solve it. The paper discusses the theoretical foundations, advantages and disadvantages, and the recent development of some numerical methods for GDE, including the moments of method, sectional method, discrete metho attention to the Monte Carlo me d, discrete-sectional method, and Monte Carlo method. The paper pays special thod, including the ＂time-driven＂ Monte Carlo method, ＂event-driven＂ Monte Carlo method, constant number method, constant volume method.
出处
《力学进展》
EI
CSCD
北大核心
2006年第1期125-141,共17页
Advances in Mechanics
基金
国家重点基础研究专项经费(2002CB211602)
国家自然科学基金(90410017)~~
关键词
通用动力学方程
颗粒尺度分布
矩方法
MONTE
CARLO方法
分区法
离散-分区法
离散法
general dynamic equation, particle size distribution, moments of method, monte carlo method, sectional method, discrete method, discrete-sectional method, particulate matter
