A comparative study of different discretizations for solving bivariate aggregation population balance equation

In this work, a comparative study on how the solution of a pure bivariate aggregation population balance equation depends on different structured grids is presented. Numerical results obtained using the most commonly used cell average and fixed pivot techniques on four different types of structured grids are compared with the exact solutions. As expected, the cell average technique predicts more accurate solution than the fixed pivot technique for all different grids. Moreover, the results predicted using the cell average technique using X-type grid with logarithmic scale in the radial direction provide solutions of high quality among all other grids.