A weighted finite volume scheme for multivariate aggregation population balance equation

Journal
Computers & chemical engineering  
Volume
101
Start Page
1
End Page
10
Citation
Computers and Chemical Engineering (101): 1-10 (2017)
Publisher DOI
10.1016/j.compchemeng.2017.02.011
Scopus ID
2-s2.0-85013977600
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).
Subjects
Aggregation
Multivariate
Non-uniform meshes
Population balances
Weighted finite volume scheme
More Funding Information
DFG, SPP 1679, Dynamic simulation of interconnected solids processes DYNSIM-FP