描述颗粒沉积动力学演变过程的一种随机算法

为了解决普通Monte Carlo算法计算精度和计算代价无法协调的矛盾,发展了一种新的多重Monte Carlo(MMC)算法求解考虑多分散性颗粒沉积的通用动力学方程,该算法引入加权虚拟颗粒的概念,基于时间驱动MonteCarlo技术,模拟过程中保持虚拟颗粒数目和计算区域体积不变。首先详细介绍了考虑颗粒沉积的MMC算法,包括时间步长的设置、颗粒是否沉积的判断、沉积后果的处理等。然后选定三个存在理论分析解的特殊工况对MMC算法进行验证,数值模拟结果与相应的理论分析解符合很好,表明该算法具有较高的计算精度,同时该算法计算代价很小。

A stochastic algorithm for the dynamic evolution process by particle deposition

In order to assort with antinomy of computation cost and computation precision in ordinary Monte Carlo methods,multi-Monte Carlo(MMC) method is promoted to simulate general dynamics equation(GDE) for deposition of polydisperse particles.MMC method introduces the concept of "weighted fictitious particle" on the base of the time-driven technique.MMC method conserves constant number of fictitious particles and constant volume with the evolution of time.Firstly MMC method is described in details,including the setting of time step,the judgment of the occurrence of deposition event,and consequential treatment of particle deposition event.Then MMC method is used to simulate three kinds of special cases in which analytical solutions exist;The simulation result of MMC method for GDE agrees with analytical solution well,which shows that MMC method has high computation precision.Furthermore MMC method also exhibits low computation cost.