期刊
APPLIED MATHEMATICAL MODELLING
卷 45, 期 -, 页码 255-270出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2016.12.018
关键词
Analytical solution; Burgers' equation; Hopf-Cole transformation; Shock wave
资金
- Natural Science Foundation of China [11572076]
- National Basic Research Program of China [2011CB711105]
- Program for New Century Excellent Talents in University [NCET-13-0072]
- Fundamental Research Funds for the Central Universities [DUT16TD05, DUT14YQ202]
This paper derives analytical solutions for the two dimensional and the three dimensional Burgers' equation. The two-dimensional and three-dimensional Burgers' equation are defined in a square and a cubic space domain, respectively, and a particular set of boundary and initial conditions is considered. The analytical solution for the two dimensional Burgers' equation is given by the quotient of two infinite series which involve Bessel, exponential, and trigonometric functions. The analytical solution for the three dimensional Burgers' equation is given by the quotient of two infinite series which involve hypergeometric, exponential, trigonometric and power functions. For both cases, the solutions can describe shock wave phenomena for large Reynolds numbers (R-e >= 100), which is useful for testing numerical methods. (C) 2016 Elsevier Inc All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据