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<p>To enhance the computational accuracy of Monte Carlo methods in solving population balance equations for aerosol particulate systems, a novel differential weighted fusion Monte Carlo (DWFMC) method has been developed based on the differential weighted Monte Carlo (DWMC) method. This method ensures total volume conservation during particle breakage events by introducing the differential weighting fusion mechanism. Six cases with analytical solutions were selected to validate the DWFMC method: constant breakage kernel, niolinear breakage kernel, and combined constant coagulation kernel with linear breakage kernel. The particle size distribution functions of particulate systems were obtained, demonstrating close agreement with theoretical solutions. Compared to the DWMC method, the DWFMC method exhibits superior computational accuracy.</p>

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A Monte Carlo Method for Modeling Particle Coagulation and Breakage

  • 期刊论文

  • 发表日期：

    2026年3月26日

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  • Hongmei Liu,
  • Qing Zhang,
  • Xiao Jiang,
  • Ting Chen,
  • Xuedong Liu

摘要

To enhance the computational accuracy of Monte Carlo methods in solving population balance equations for aerosol particulate systems, a novel differential weighted fusion Monte Carlo (DWFMC) method has been developed based on the differential weighted Monte Carlo (DWMC) method. This method ensures total volume conservation during particle breakage events by introducing the differential weighting fusion mechanism. Six cases with analytical solutions were selected to validate the DWFMC method: constant breakage kernel, niolinear breakage kernel, and combined constant coagulation kernel with linear breakage kernel. The particle size distribution functions of particulate systems were obtained, demonstrating close agreement with theoretical solutions. Compared to the DWMC method, the DWFMC method exhibits superior computational accuracy.