06-46
Numerical Solutions of Population Balance Models in Preferential Crystallization
by Qamar, S.; Ashfaq, A.; Angelov, I.; Elsner, M. P.; Warnecke, G.; Seidel-Morgenstern, A.
Preprint series: 06-46, Preprints
The paper is published: Submitted to the Journal
- MSC:
- 35L65 Conservation laws
- 35L45 Initial value problems for hyperbolic systems of first-order PDE
- 35L67 Shocks and singularities, See also {58C27, 76L05}
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 crystallization, fines dissolution, high resolution schemes, method of characteristics, nucleation and growth rates.
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