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Multi-monte-carlo method for general dynamic equation considering particle coagulation

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Abstract

Monte-Carlo (MC) method is widely adopted to take into account general dynamic equation (GDE) for particle coagulation, however popular MC method has high computation cost and statistical fatigue. A new Multi-Monte-Carlo (MMC) method, which has characteristics of time-driven MC method, constant number method and constant volume method, was promoted to solve GDE for coagulation. Firstly MMC method was described in details, including the introduction of weighted fictitious particle, the scheme of MMC method, the setting of time step, the judgment of the occurrence of coagulation event, the choice of coagulation partner and the consequential treatment of coagulation event. Secondly MMC method was validated by five special coagulation cases in which analytical solutions exist. The good agreement between the simulation results of MMC method and analytical solutions shows MMC method conserves high computation precision and has low computation cost. Lastly the different influence of different kinds of coagulation kernel on the process of coagulation was analyzed: constant coagulation kernel and Brownian coagulation kernel in continuum regime affect small particles much more than linear and quadratic coagulation kernel, whereas affect big particles much less than linear and quadratic coagulation kernel.

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Authors and Affiliations

  1. State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, 430074, Wuhan, P. R. China

    Zhao Hai-bo (Lecturer, Doctor), Zheng Chu-guang & Xu Ming-hou

Authors
  1. Zhao Hai-bo
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  2. Zheng Chu-guang
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  3. Xu Ming-hou
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Corresponding author

Correspondence to Zhao Hai-bo.

Additional information

Communicated by LI Jia-chun

Project supported by the National Key Basic Research and Development Program of China (No. 2002CB211602); the National Natural Science Foundation of China (No. 90410017)

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Hai-bo, Z., Chu-guang, Z. & Ming-hou, X. Multi-monte-carlo method for general dynamic equation considering particle coagulation. Appl Math Mech 26, 953–962 (2005). https://doi.org/10.1007/BF02464246

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  • DOI: https://doi.org/10.1007/BF02464246

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Chinese Library Classification

2000 Mathematics Subject Classification

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