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Quadrature method of moments for population‐balance equations
Author(s) -
Marchisio Daniele L.,
Pikturna Jesse T.,
Fox Rodney O.,
Vigil R. Dennis,
Barresi Antonello A.
Publication year - 2003
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690490517
Subject(s) - nyström method , computational fluid dynamics , population balance equation , discretization , quadrature (astronomy) , monte carlo method , population , mathematics , range (aeronautics) , mathematical optimization , method of moments (probability theory) , computer science , statistical physics , integral equation , statistics , mechanics , physics , mathematical analysis , engineering , demography , aerospace engineering , estimator , sociology , optics
Although use of computational fluid dynamics (CFD) for simulating precipitation (and particulate systems in general) is becoming a standard approach, a number of issues still need to be addressed. One major problem is the computational expense of coupling a standard discretized population balance (DPB) with a CFD code, as this approach requires the solution of an intractably large number of transport equations. In this work the quadrature method of moments (QMOM) is tested for size‐dependent growth and aggregation. The QMOM is validated by comparison with both Monte Carlo simulations and analytical solutions using several functional forms for the aggregation kernel. Moreover, model predictions are compared with a DPB to compare accuracy, computational time, and the number of scalars involved. Analysis of the relative performance of various methods for treating aggregation provides readers with useful information about the range of application and possible limitations.