Simple waves for two-dimensional compressible pseudo-steady Euler system  

作　　者：赖耕 盛万成 

机构地区：[1]Department of Mathematics,Shanghai University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第7期827-838,共12页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (No.0971130);the Shanghai Leading Academic Discipline Project (No.J50101)

摘　　要：A simple wave is defined as a flow in a region whose image is a curve in the phase space. It is well known that ＂the theory of simple waves is fundamental in building up the solutions of flow problems out of elementary flow patterns＂ see Courant and Friedrichs＇s chassical book ＂Supersonic Flow and Shock Waves＂. This paper mainly concerned with the geometric construction of simple waves for the 2D pseudo-steady compressible Euler system. Based on the geometric interpretation, the expansion or compression simple wave flow construction around a pseudo-stream line with a bend part are constructed. It is a building block that appears in the global solution to four contact discontinuities Riemann problems.A simple wave is defined as a flow in a region whose image is a curve in the phase space. It is well known that ＂the theory of simple waves is fundamental in building up the solutions of flow problems out of elementary flow patterns＂ see Courant and Friedrichs＇s chassical book ＂Supersonic Flow and Shock Waves＂. This paper mainly concerned with the geometric construction of simple waves for the 2D pseudo-steady compressible Euler system. Based on the geometric interpretation, the expansion or compression simple wave flow construction around a pseudo-stream line with a bend part are constructed. It is a building block that appears in the global solution to four contact discontinuities Riemann problems.

关 键 词：self-similar Euler system simple wave generalized characteristic analysis pseudo-stream line sonic circle sonic edge 

分 类 号：O353.2[理学—流体力学]