Paper Info
Title
A Note on Moment Preservation of Finite Volume Schemes for Solving Growth and Aggregation Population Balance Equations
Abstract
In this paper we improve the numerical schemes presented in a recent publication by Qamar and Warnecke [Chem. Eng. Sci., 31 (2007), pp. 1576-1589]. It is observed that the proposed numerical schemes do not preserve certain required moments of size distributions. In this paper, slightly different formulations are given that preserve these moments. The new formulations are compared with the old formulations by the application of three analytically solvable problems. It is shown that the new formulations are very accurate for predicting number density distributions as well as certain moments. While the old formulations are accurate enough for predicting the number density distribution, they show peculiar behavior for certain moments.
Year
DOI
Venue
2010
10.1137/090757356
SIAM J. Scientific Computing
Keywords
Field
DocType
aggregation population balance equations,number density distribution,new formulation,certain moment,moment preservation,analytically solvable problem,certain required moment,numerical scheme,old formulation,finite volume schemes,accurate enough,different formulation,proposed numerical scheme,aggregation,growth,discretization
Population,Discretization,Population balance equation,Mathematical analysis,Number density,Numerical analysis,Finite volume method,Distribution function,Mathematics
Journal
Volume
Issue
ISSN
32
2
1064-8275
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Jitendra Kumar1409.73
Gerald Warnecke2356.92