A Parallel Method for Population Balance Equations Based on the Method of Characteristics

2012/12/28 by Yu Li, Li, Yu, Qun Lin +3
Computer Science · Mathematics · #65L03 #65L06 (Primary) 65L60 #65L70 (Secondary) #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1212.6545

openalex publication_date 2012/12/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we present a parallel scheme to solve the population balance equations based on the method of characteristics and the finite element discretization. The application of the method of characteristics transform the higher dimensional population balance equation into a series of lower dimensional convection-diffusion-reaction equations which can be solved in a parallel way.Some numerical results are presented to show the accuracy and efficiency.

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