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An operator-splitting finite element method for the efficient parallel solution of multidimensional population balance systems

Ganesan, Sashikumaar and Tobiska, Lutz (2012) An operator-splitting finite element method for the efficient parallel solution of multidimensional population balance systems. In: Chemical Engineering Science, 69 (1). pp. 59-68.

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Official URL: http://dx.doi.org/10.1016/j.ces.2011.09.031

Abstract

A finite element method for solving multidimensional population balance systems is proposed where the balance of fluid velocity, temperature and solute partial density is considered as a two-dimensional system and the balance of particle size distribution as a three-dimensional one. The method is based on a dimensional splitting into physical space and internal property variables. In addition, the operator splitting allows to decouple the equations for temperature, solute partial density and particle size distribution. Further, a nodal point based parallel finite element algorithm for multi-dimensional population balance systems is presented. The method is applied to study a crystallization process assuming, for simplicity, a size independent growth rate and neglecting agglomeration and breakage of particles. Simulations for different wall temperatures are performed to show the effect of cooling on the crystal growth. Although the method is described in detail only for the case of d=2 space and s=1 internal property variables it has the potential to be extendable to d+s variables, d=2, 3 and s >= 1. (C) 2011 Elsevier Ltd. All rights reserved.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Population balance;Crystallization;Mathematical modeling; Finite elements;Operator-splitting;Simulation
Department/Centre: Division of Information Sciences > Supercomputer Education & Research Centre
Date Deposited: 07 Feb 2012 07:55
Last Modified: 07 Feb 2012 07:55
URI: http://eprints.iisc.ernet.in/id/eprint/43371

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