A weighted finite volume scheme for multivariate aggregation population balance equation. (9th June 2017)

• Record Type: Journal Article
• Authors: Kaur, Gurmeet; Kumar, Jitendra; Heinrich, Stefan
• Is Part Of: Computers & chemical engineering. Volume 101(2017)
• Page Start: 1
• Page End: 10
• Publication Date: 2017-06-09
• Subjects: Population balances -- Aggregation -- Multivariate -- Weighted finite volume scheme -- Non-uniform meshes; Chemical engineering -- Data processing -- Periodicals; 660.0285
• DOI: 10.1016/j.compchemeng.2017.02.011
• Languages: English
• ISSNs: 0098-1354

Abstract

Abstract : Highlights: Two new finite volume schemes are presented for solving multivariate aggregation population balance equation. These methods conserve total mass of the system as well as preserve total number of particles in the system. The proposed schemes are computationally more efficient and accurate. 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 ofForestier 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 ofForestier and Mancini (2012) .