Title
A weighted finite volume scheme for multivariate aggregation population balance equation.
Abstract
Abstract For solving multivariate aggregation population balance equation, two new discretizations based on number and mass distributions are presented. These proposed schemes are relatively simple to implement and computationally very efficient. Moreover, the mathematical structure of the schemes remains unchanged with the change in dimension. Hence, these methods are ideally suited for solving multidimensional aggregation problems on non-uniform grids. The accuracy of the new schemes is shown by comparing number density as well as different order moments with exact results as well as with the numerical results of Forestier and Mancini (2012) . Besides preservation of the zeroth and first order moments, the new schemes also predict higher order moments and number density very accurately. In conclusion, the proposed schemes are more accurate and efficient than the scheme of Forestier and Mancini (2012) .
Year
DOI
Venue
2017
10.1016/j.compchemeng.2017.02.011
Computers & Chemical Engineering
Keywords
Field
DocType
Population balances,Aggregation,Multivariate,Weighted finite volume scheme,Non-uniform meshes
Higher order moments,Mathematical optimization,Population balance equation,Mathematical structure,Multivariate statistics,First order,Zeroth law of thermodynamics,Number density,Finite volume method,Mathematics
Journal
Volume
ISSN
Citations 
101
0098-1354
0
PageRank 
References 
Authors
0.34
4
3
Name
Order
Citations
PageRank
Gurmeet Kaur101.35
Jitendra Kumar2409.73
S. Heinrich383.41