一种描述颗粒沉积现象的Monte Carlo算法  

A Monte Carlo Method for Particle Deposition Process

作　　者：刘红梅 蒋威 刘文明[1,2] 刘雪东[1,2] LIU Hongmei;JIANG Wei;LIU Wenming;LIU Xuedong(School of Mechanical Engineering and Rail Transit,Changzhou University,Changzhou 213164,China;Jiangsu Key Laboratory of Green Process Equipment,Changzhou University,Changzhou 213164,China;Jiangsu Meilan Chemical Co.,Ltd.,Taizhou 225300,China)

机构地区：[1]常州大学机械与轨道交通学院,江苏常州213164 [2]江苏省绿色过程装备重点实验室(常州大学),江苏常州213164 [3]江苏梅兰化工有限公司,江苏泰州225300

出　　处：《常州大学学报（自然科学版）》2021年第6期51-57,共7页Journal of Changzhou University：Natural Science Edition

基　　金：江苏省自然科学基金资助项目(BK20210854);江苏省高校自然科学基金资助项目(20KJB470009)。

摘　　要：为了提高Monte Carlo算法在求解颗粒群平衡方程时的计算精度和效率,发展了一种基于异权值Monte Carlo(DWMC)算法的快速Monte Carlo(F-DWMC)算法,该算法在处理颗粒沉积事件时采用确定性方法,能够更加快速准确地求解颗粒的沉积行为。文章选定了两种存在理论分析解的工况(分别考虑颗粒重力沉积和布朗扩散沉积行为)对F-DWMC算法进行了验证,获得了多分散颗粒物系统的颗粒尺寸分布函数曲线,计算结果与理论分析解吻合较好,并且与DWMC算法相比,F-DWMC算法具有更高的计算精度和效率。In order to improve the computational accuracy and efficiency of Monte Carlo method in solving the particle population balance equation,a fast Monte Carlo(F-DWMC)method based on the differentially weighted Monte Carlo(DWMC)method was proposed.The deposition event was solved by a deterministic method which would be faster and more precise.Two cases with analytical solutions were used to verify this F-DWMC method,where gravitation-dominant deposition and diffusion-dominant deposition were considered,respectively.The simulation results of F-DWMC method agree well with the analytical solutions with small relative errors.Furthermore,the F-DWMC method also exhibits higher computational accuracy and efficiency than the DWMC method for solving particle deposition dynamics.

关 键 词：Monte Carlo算法 颗粒群平衡方程 重力沉积 布朗扩散沉积 

分 类 号：X513[环境科学与工程—环境工程]