On the 2-D Riemann problem for the compressible Euler equations II. Interaction of contact discontinuities
文献类型：期刊论文
| 作者 | Chang, T; Chen, GQ; Yang, SL |
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 2000-04-01 |
| 卷号 | 6期号:2页码:419-430 |
| 关键词 | 2-D Riemann problem Euler equations transonic flow contact discontinuities shock waves rarefaction waves vortices interaction of waves upwind averaging schemes |
| ISSN号 | 1078-0947 |
| 英文摘要 | We are concerned with the Riemann problem for the two-dimensional compressible Euler equations in gas dynamics. This paper is a continuation of our program (see [CY1,CY2]) in studying the interaction of nonlinear waves in the Riemann problem. The central point in this issue is the dynamical interaction of shock waves, centered rarefaction waves, and contact discontinuities that connect two neighboring constant initial states in the quadrants. In this paper we focus mainly on the interaction of contact discontinuities, which consists of two genuinely different cases. For each case, the structure of the Riemann solution is analyzed by using the method of characteristics, and the corresponding numerical solution is illustrated via contour plots by using the upwind averaging scheme that is second-order in the smooth region of the solution developed in [CY1]. For one case, the four contact discontinuities role up and generate a vortex, and the density monotonically decreases to zero at the center of the vortex along the stream curves. For the other, two shock waves are formed and, in the subsonic region between two shock waves, a new kind of nonlinear hyperbolic waves (called smoothed Delta-shock waves) is observed. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000085625100012 |
| 出版者 | SOUTHWEST MISSOURI STATE UNIV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14972]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chang, T |
| 作者单位 | 1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Northwestern Univ, Dept Math, Evanston, IL 60208 USA 3.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chang, T,Chen, GQ,Yang, SL. On the 2-D Riemann problem for the compressible Euler equations II. Interaction of contact discontinuities[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2000,6(2):419-430. |
| APA | Chang, T,Chen, GQ,&Yang, SL.(2000).On the 2-D Riemann problem for the compressible Euler equations II. Interaction of contact discontinuities.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,6(2),419-430. |
| MLA | Chang, T,et al."On the 2-D Riemann problem for the compressible Euler equations II. Interaction of contact discontinuities".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 6.2(2000):419-430. |
入库方式： OAI收割
来源：数学与系统科学研究院
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