TY - JOUR
T1 - A comparative study of different discretizations for solving bivariate aggregation population balance equation
AU - Singh, Mehakpreet
AU - Ghosh, Dhrubajyoti
AU - Kumar, Jitendra
PY - 2014/5/15
Y1 - 2014/5/15
N2 - 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.
AB - 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.
KW - Aggregation
KW - Cell average technique
KW - Particles
KW - Population balance equations
KW - Structured grids
UR - http://www.scopus.com/inward/record.url?scp=84896501006&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2014.02.052
DO - 10.1016/j.amc.2014.02.052
M3 - Article
AN - SCOPUS:84896501006
SN - 0096-3003
VL - 234
SP - 434
EP - 451
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -