Numerical aspects of direct quadrature-based moment methods for solving the population balance equation

Brazilian Journal of Chemical Engineering. 2013;30(3):643-656 DOI 10.1590/S0104-66322013000300021


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Journal Title: Brazilian Journal of Chemical Engineering

ISSN: 0104-6632 (Print); 1678-4383 (Online)

Publisher: Brazilian Society of Chemical Engineering

LCC Subject Category: Technology: Chemical technology: Chemical engineering

Country of publisher: Brazil

Language of fulltext: English

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F. P. Santos (Universidade Federal do Rio de Janeiro)
P. L. C. Lage (Universidade Federal do Rio de Janeiro)
C. E. Fontes (Engineering Simulation Scientific Software)


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Time From Submission to Publication: 12 weeks


Abstract | Full Text

Direct-quadrature generalized moment based methods were analysed in terms of accuracy, computational cost and robustness for the solution of the population balance problems in the [0,∞) and [0,1] domains. The minimum condition number of the coefficient matrix of their linear system of equations was obtained by global optimization. An heuristic scaling rule from the literature was also evaluated. The results indicate that the methods based on Legendre generalized moments are the most robust for the finite domain problems, while the DQMoM formulation that solves for the abscissas and weights using the heuristic scaling rule is the best for the infinite domain problems.