A new iterative scheme for solving the discrete Smoluchowski equation

JOURNAL OF COMPUTATIONAL PHYSICS

卷:352

Article

Smith, Alastair J.¹  Wells, Clive G.¹  Kraft, Markus^1,2 

[1] Univ Cambridge, Dept Chem Engn & Biotechnol, West Cambridge Site,Philippa Fawcett Dr, Cambridge CB3 0AS, England

[2] Nanyang Technol Univ, Sch Chem & Biomed Engn, 62 Nanyang Dr, Singapore 637459, Singapore

关键词: Mathematical modelling;    Simulation;    Population balance;    Deterministic method;    Iterative scheme;   

DOI  :  10.1016/j.jcp.2017.09.045

来源: Elsevier

【 摘 要 】

This paper introduces a new iterative scheme for solving the discrete Smoluchowski equation and explores the numerical convergence properties of the method for a range of kernels admitting analytical solutions, in addition to some more physically realistic kernels typically used in kinetics applications. The solver is extended to spatially dependent problems with non-uniform velocities and its performance investigated in detail. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free