A least-squares method with direct minimization for the solution of the breakage–coalescence population balance equation

Zhengjie Zhu, C.A. Dorao and H.A. Jakobsen

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 79, issue 3, 716-727

Abstract: A least-squares method with a direct minimization algorithm is introduced to solve the non-linear population balance equation that consists of both breakage and coalescence terms. The least-squares solver, direct minimization solver together with a finite difference solver are implemented for comparisons. It is shown that the coalescence term introduces a strong non-linear behavior which can affect the robustness of the numerical solvers. In the comparison with the least-squares method, the direct minimization method is proved to be capable of producing equally accurate results, while its formulation is better conditioned. In the case of a non-linear population balance equation system, the direct minimization method converges faster than the standard least-squares method.

Keywords: Population balance equation; Least-squares method; Direct minimization; QR decomposition (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2008:i:3:p:716-727

DOI: 10.1016/j.matcom.2008.05.001

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