An approximate optimal moving grid technique for the solution of discretized population balances in batch

Abstract

The numerical solution of droplet population balance equations by discretization is known to suffer from inherent finite domain errors (FDE). A new technique that minimizes the total FDE during the solution of discretized population balance equations (DPBE) using an approximate optimal moving grid for batch systems is established. This optimal technique is found very effective for tracking out steeply moving population density with a reasonable number of size intervals. The present technique exploits all the advantages of its fixed counterpart by preserving any two moments of the evolving population. The technique is found to improve the predictions of the number density, zero and first moments of the population. © 2002 Elsevier B.V. All rights reserved.