A differentially weighted operator splitting Monte Carlo (DWOSMC) method is developed to solve complex aerosol dynamic processes by coupling the differentially weighted Monte Carlo method and the operator splitting technique. This method is validated by analytical solutions and a sectional method in different aerosol dynamic processes. It is first validated in coagulation and condensation processes, and nucleation and coagulation processes, and then validated through simultaneous nucleation, coagulation, and condensation processes. The results show that the DWOSMC method is a computationally efficient and quantitatively accurate method for simulating complex aerosol dynamic processes.

通过结合差分加权蒙特卡洛方法和算子分裂技术，开发了一种差分加权算子分裂蒙特卡罗方法（DWOSMC）来解决复杂的气溶胶动力学过程。该方法已通过分析解决方案和分段方法在不同的气溶胶动力学过程中得到验证。它首先在凝结和凝结过程以及成核和凝结过程中得到验证，然后通过同时成核，凝结和凝结过程进行验证。结果表明，DWOSMC方法是一种模拟复杂气溶胶动力学过程的计算有效且定量准确的方法。