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• W2044713045 abstract "Numerical techniques in the family of weighted residual methods; the orthogonal collocation, Galerkin, tau and least-squares, are evaluated for the solution of transient population balance (PB) models describing liquid–liquid emulsification systems in stirred batch vessels. The numerical solution techniques are compared based on (i) a breakage dominated system with experimental data available, and (ii) a breakage–coalescence test case. Two numerical approaches are studied for the transient term: (i) time-differencing by a low order finite difference approximation, and (ii) the spectral-element technique. Both approaches use spectral approximations in the phase space dimension. Based on a residual measure, computational costs, and implementation complexity the combined finite difference–spectral approach is recommended above the spectral-in-time-spectral-in-space approach. Within this recommended solution framework, it is not necessary to use a more mathematical complex spectral method than the orthogonal collocation technique." @default.
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• W2044713045 date "2013-07-30" @default.
• W2044713045 modified "2023-10-18" @default.
• W2044713045 title "On the solution of the dynamic population balance model describing emulsification: Evaluation of weighted residual methods" @default.
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• W2044713045 doi "https://doi.org/10.1002/cjce.21875" @default.
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