高等学校化学学报

高等学校化学学报 ›› 2005, Vol. 26 ›› Issue (11): 2086.

• 研究论文 • 上一篇    下一篇

凝并和成核机理下颗粒尺度分布的Monte Carlo求解

赵海波, 郑楚光   

  1. 华中科技大学煤燃烧国家重点实验室, 武汉430074
  • 收稿日期:2004-11-26 出版日期:2005-11-10 发布日期:2005-11-10
  • 基金资助:

    国家自然科学基金(批准号:90410017);国家重点基础研究专项经费(批准号:2002CB211602)资助

Monte Carlo Solution of Particle Size Distribution under Simultaneous Coagulation and Nucleation

ZHENG Chu-Guang, ZHAO Hai-Bo   

  1. State Key Lab of Coal Combustion,Huazhong University of Science & Technology,Wuhan 430074,China
  • Received:2004-11-26 Online:2005-11-10 Published:2005-11-10

PDF (PC)

被引次数

15

摘要： 颗粒的凝并和成核现象影响其尺度分布,现有的MonteCarlo方法描述颗粒尺度分布的时间演变过程存在若干困难.提出了一种新的多重MonteCarlo(MMC)算法,基于时间驱动,利用加权的虚拟颗粒的思想,在模拟过程中保持虚拟颗粒总数不变和计算区域体积不变.利用该算法对“常凝并核,一阶成核”的情况下颗粒尺度分布的时间演变过程进行了数值求解,所得结果与数值解相符,表明MMC算法具有高且稳定的计算精度.另外,MMC算法由于跟踪比实际颗粒数目少得多的虚拟颗粒而具有较低的计算代价.

关键词: Monte Carlo方法, 颗粒尺度分布, 凝并, 成核, 通用动力学方程

Abstract: Particle size distribution evolves with time undergoing both particle coagulation and nucleation process.There are some difficulties for popular Monte Carlo(MC) methods to solve general dynamic equation(GDE) for simultaneous coagulation and nucleation of particle.A new multi-Monte Carlo(MMC) method was promoted to describe the time evolution of particle size distribution. MMC method is based on "time-driven" technique and introduces the concept of "weighted fictitious particle".Furthermore,MMC keeps synchronously the computational domain and the total number of fictitious particles constant.MMC method was used to simulate the time evolution of particle size distribution for constant coagulation kernel and the first-order nucleation kernel.The simulation results obtained by MMC method are in good agreement with numerical solutions,which proves that MMC method has a high and stable computational precision.In addition,MMC method has a low computation cost because the number of those tracked fictitious particles in MMC method is far less than that of the real particles.

Key words: Monte Carlo method, Particle size distribution, Coagulation, Nucleation, General dynamic equation

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