Name
Title | ||
|---|---|---|
Convergence analysis of sectional methods for solving breakage population balance equations-I: the fixed pivot technique |
Abstract | ||
|---|---|---|
In this work we study the convergence of the fixed pivot techniques (Kumar and Ramkrishna Chem. Eng. Sci. 51, 1311–1332, 1996) for breakage problems. In particular, the convergence is investigated on four different types of uniform and non-uniform meshes. It is shown that the fixed pivot technique is second order convergent on a uniform and non-uniform smooth meshes. Furthermore, it gives first order convergence on a locally uniform mesh. Finally the analysis shows that the method does not converge on a non-uniform random mesh. The mathematical results of convergence analysis are also validated numerically. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s00211-008-0174-6 | Numerische Mathematik |
Keywords | DocType | Volume |
fixed pivot technique,order convergent,breakage population balance equations-i,population balance,non-uniform random mesh,breakage,breakage problem,non-uniform mesh,fixed pivot,sectional method,non-uniform smooth mesh,ramkrishna chem,order convergence,convergence,convergence analysis,particles,uniform mesh,first order,second order | Journal | 111 |
Issue | ISSN | Citations |
1 | 0945-3245 | 2 |
PageRank | References | Authors |
0.60 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jitendra Kumar | 1 | 40 | 9.73 |
| Gerald Warnecke | 2 | 2 | 0.60 |