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

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.