Abstract
A new method of moments for solving the population balance equation is developed and presented. The moment projection method (MPM) is numerically simple and easy to implement and attempts to address the challenge of particle shrinkage due to processes such as oxidation, evaporation or dissolution. It directly solves the moment transport equation for the moments and tracks the number of the smallest particles using the algorithm by Blumstein and Wheeler (1973) [41]. The performance of the new method is measured against the method of moments (MOM) and the hybrid method of moments (HMOM). The results suggest that MPM performs much better than MOM and HMOM where shrinkage is dominant. The new method predicts mean quantities which are almost as accurate as a high-precision stochastic method calculated using the established direct simulation algorithm (DSA).
| Original language | English |
|---|---|
| Pages (from-to) | 960-980 |
| Number of pages | 21 |
| Journal | Journal of Computational Physics |
| Volume | 330 |
| DOIs | |
| Publication status | Published - Feb 1 2017 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2016 Elsevier Inc.
ASJC Scopus Subject Areas
- Numerical Analysis
- Modelling and Simulation
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics
Keywords
- Method of moments
- Oxidation
- Population balance equation
- Shrinkage