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2006-46

Numerical Solutions of Population Balance Models in Preferential Crystallization

by Qamar, S., Ashfaq, A., Angelov, I., Elsner, M. P., Warnecke, G., Seidel-Morgenstern, A..


Series: 2006-46, Preprints

MSC:
35L65 Conservation laws
35L45 Initial value problems for first-order hyperbolic systems
35L67 Shocks and singularities

Abstract:
This article focuses on the implementation of numerical schemes for preferential crystallization. Two types of
numerical methods are proposed for this purpose. The first method uses high resolution finite volume
schemes, while the second method is the so-called method of characteristics. On the one hand, the finite volume schemes
which were derived for general system in divergence form, are computationally efficient, give desired accuracy on coarse
grids, and are robust. On the other hand, the method of characteristics offers a technique which is in general a powerful
tool for solving growth processes, has capability to overcome numerical diffusion and dispersion, give highly
resolved solutions, as well as are computationally efficient. Several numerical test examples for preferential crystallization model with and without
fines dissolution for isothermal and non-isothermal cases are considered. The comparison of the numerical schemes
demonstrate clear advantages of the finite volume schemes and the method of characteristics for the current model.
\end{abstract}

Keywords:
Population balance models, enantiomers, preferential cryst

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