Numerical solution of the population balance equation using an efficiently modified cell average technique

- A new supplemental solver based on the modified cell average technique (mCAT) was developed and incorporated to the system of equations.
- This new solver acts on the representative points only.
- The solver improves the aggregation-related processes much more than the other processes.

In order to increase the accuracy of the modified cell average technique (mCAT) alongside the zeroth and first moments and increase the speed of the technique, a new supplemental solver has been developed in the region of high amount time, a region where the ratio of the zeroth moment to the initial zeroth moment (μ0(t)/μ0(0)) is too small or too large depending on the process and the amount of error is high there. The solver is conceptually easy to understand and straightforward for programming. A number of analytically solved problems were simulated by incorporating this solver into the mCAT and the results were compared with the previous solver. Significant improvements for different phenomenon especially the aggregation related systems were observed.