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Numerical Methods for the Solution of Population Balance Equations Coupled with Computational Fluid Dynamics.
Annual Review of Chemical and Biomolecular Engineering ( IF 8.4 ) Pub Date : 2020-06-08 , DOI: 10.1146/annurev-chembioeng-092319-075814
Mohsen Shiea 1 , Antonio Buffo 1 , Marco Vanni 1 , Daniele Marchisio 1
Affiliation  

This review article discusses the solution of population balance equations, for the simulation of disperse multiphase systems, tightly coupled with computational fluid dynamics. Although several methods are discussed, the focus is on quadrature-based moment methods (QBMMs) with particular attention to the quadrature method of moments, the conditional quadrature method of moments, and the direct quadrature method of moments. The relationship between the population balance equation, in its generalized form, and the Euler-Euler multiphase flow models, notably the two-fluid model, is thoroughly discussed. Then the closure problem and the use of Gaussian quadratures to overcome it are analyzed. The review concludes with the presentation of numerical issues and guidelines for users of these modeling approaches.

中文翻译:


结合计算流体力学求解人口平衡方程的数值方法。

这篇评论文章讨论了人口平衡方程的解决方案,用于离散多相系统的仿真,并与计算流体动力学紧密耦合。尽管讨论了几种方法,但重点是基于矩量的矩量法(QBMM),尤其是矩量的正交方法,矩量的条件正交方法和矩量的直接正交方法。全面讨论了人口平衡方程(广义形式)与Euler-Euler多相流模型(特别是两流体模型)之间的关系。然后分析了闭合问题以及使用高斯积分克服该问题。审查以数字问题和这些建模方法的用户指南为结尾。

更新日期:2020-06-08
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