A multi-scale analysis for advection-diffusion equation with rapidly oscillatory coefficients

4th International Conference on Applied Materials and Manufacturing Technology

材料科学;机械制造

Su, Fang^1 ; Xu, Zhan^2

Department of Mathematics, College of Liberal Arts and Sciences, National University of Defense Technology, Changsha

410073, China^1

College of Electronic Science, National University of Defense Technology, Changsha

410073, China^2

关键词: Advection-diffusion equation;    Computation methods;    Computer memory;    CPU time;    Initial-boundary value problems;    Multi scale analysis;    Numerical results;    Second orders;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/423/1/012115/pdf
DOI  :  10.1088/1757-899X/423/1/012115

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

This paper presents a second-order and two-scale computation method of initial-boundary value problem for advection-diffusion equation with rapidly oscillating coefficients. The proposed method can greatly save computer memory and CPU time, and it possesses good precision at the same time. The numerical results demonstrate that the presented method is effective and reliable.