A two-level discretisation algorithm for the efficient solution of higher-dimensional population balance models

The increasing range of complex applications that call for population balances based models motivates the development of efficient and robust solution techniques. Several contemporary applications mandate the consideration of multi-dimensional population balances, accounting for the non-homogeneous...

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Bibliographic Details
Published in:Chemical engineering science 2008-03, Vol.63 (5), p.1304-1314
Main Authors: Pinto, Mark A., Immanuel, Charles D., Doyle III, Francis J.
Format: Article
Language:English
Subjects:
Applied sciences
Chemical engineering
Exact sciences and technology
Modelling
Multi-dimensional distribution
Multi-level discretisation
Numerical analysis
Population balance
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Summary:The increasing range of complex applications that call for population balances based models motivates the development of efficient and robust solution techniques. Several contemporary applications mandate the consideration of multi-dimensional population balances, accounting for the non-homogeneous and/or wide distribution of particle populations among several state variables (internal coordinates). This article presents an efficient and novel solution technique for multi-dimensional population balance models, inspired by the underlying physics of the problem and the dictates of the relevant rate processes in the population balance in terms of the accuracy of the solutions.
ISSN:0009-2509
1873-4405
DOI:10.1016/j.ces.2007.07.049