Efficient solution of population balance models employing a hierarchical solution strategy based on a multi-level discretization

摘要

This paper addresses the efficient solution of population balance models. Population balance equations are hyperbolic partial differential equations that lead to stiff problems with sharp moving fronts. Thus, a standard discretization algorithm such as the Method of Weighted Residuals is inadequate. The present paper is based on a hierarchical two-tier solution strategy that exploits the physics of the process. The paper examines a multi-level discretization strategy within the framework of the hierarchical algorithm with an aim to ensure efficient computation subject to acceptable accuracy levels.