Flux-limiting solution techniques for simulation of reaction-diffusion-convection system

被引：23

作者：

Alhumaizi, Khalid ^{[1
]}

机构：

[1] King Saud Univ, Dept Chem Engn, Riyadh 11421, Saudi Arabia

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2007年 / 12卷 / 06期

关键词：

Reaction-diffusion-convection; Moving fronts; Flux-limiter; Superbee; Minmod; MUSCL;

D O I：

10.1016/j.cnsns.2005.11.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this work is to analyze the use of a number of flux-limiters to simulate numerically the behavior of a homogeneous tubular reactor which exhibits steep moving fronts. The strength and limitations of five different flux-limiters are examined for different test cases. All flux-limiters are found successful in capturing the steep concentration profiles. The simulations show that the minmod and MUSCL flux-limiter are more appropriate for the convection-diffusion case. On the other hand, the superbee limiter shows the best performance in capturing discontinuities in the convection-diffusion-reaction case. (C) 2005 Elsevier B.V. All rights reserved.

引用

页码：953 / 965

页数：13