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

被引：24

作者：

Singh, Mehakpreet ^{[1
]}

Ghosh, Dhrubajyoti ^{[1
]}

Kumar, Jitendra ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 234卷

关键词：

Aggregation; Particles; Population balance equations; Cell average technique; Structured grids; CELL AVERAGE TECHNIQUE; 2-COMPONENT AGGREGATION; COAGULATION; SIMULATION; GROWTH; SPACE;

D O I：

10.1016/j.amc.2014.02.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：434 / 451

页数：18