TWO DIMENSIONAL RIEMANN PROBLEM FOR GASDYNAMICS SYSTEM IN THREE PIECES  

作　　者：Li, Jie-quan  Yang, Shu-li 

机构地区：[1]Acad Sinica, Inst Math, Beijing 100080, Peoples R China [2]Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China

出　　处：《Journal of Computational Mathematics》1999年第3期327-336,共10页计算数学（英文）

摘　　要：The Riemann problem for two-dimensional flow of polytropic gas with three constant initial data is considered. Under the assumption that each interface of initial data outside of the origin projects exactly one planar wave of shock, rarefaction wave or contact discontinuity, it is proved that only two kinds of combinations, JRS and Js, are reasonable. Numerical solutions are obtained by using a nonsplitting second order accurate MmB Scheme, and they efficiently reflect the complicated configurations and the geometric structure of solutions of gas dynamics system. (Author abstract) 10 Refs.The Riemann problem for two-dimensional flow of polytropic gas with three constant initial data is considered. Under the assumption that each interface of initial data outside of the origin projects exactly one planar wave of shock, rarefaction wave or contact discontinuity, it is proved that only two kinds of combinations, JRS and Js, are reasonable. Numerical solutions are obtained by using a nonsplitting second order accurate MmB Scheme, and they efficiently reflect the complicated configurations and the geometric structure of solutions of gas dynamics system. (Author abstract) 10 Refs.

关 键 词：two-dimensional Riemann problem MmB scheme gas dynamics 

分 类 号：O552[理学—热学与物质分子运动论]