On the 2-D Riemann problem for the compressible Euler equations II. Interaction of contact discontinuities

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	On the 2-D Riemann problem for the compressible Euler equations II. Interaction of contact discontinuities
	Chang, T ; Chen, GQ ; Yang, SL
	2000-04-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	6 期号:2 页码:419-430
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.
关键词	2-D Riemann problem Euler equations transonic flow contact discontinuities shock waves rarefaction waves vortices interaction of waves upwind averaging schemes
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000085625100012
出版者	SOUTHWEST MISSOURI STATE UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14973
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.