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Volume 14, No. 3, April 2014, Pages 623-631 PDF(1020 KB)  
doi: 10.4209/aaqr.2013.07.0254   

A Majorant Kernel-Based Monte Carlo Method for Particle Population Balance Modeling

Jianming Wei

Institute for Nanostructures and Technology, Faculty of Engineering Science, and CENIDE (Center for Nanointegration, Duisburg-Essen), University of Duisburg-Essen, 47057 Duisburg, Germany




A computationally efficient Monte Carlo method using majorant kernel scheme for particle coagulation is presented in this note. The key is to use majorant kernel in the evaluation of the maximum coagulation rate, which is computationally time consuming, in hope of reducing the computational cost. The proposed scheme is verified by means of a deterministic sectional method for Brownian collision kernel. The computational efficiency of the scheme proposed has also been measured by comparing with sectional method and Monte Carlo methods using other schemes.



Keywords: Monte Carlo; Coagulation; Majorant kernel; Brownian kernel.



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