We consider a two-dimensional (2D) jet by van der Waals gas streaming in parallel supersonic flow out of a duct into the atmosphere. We assume that the pressure p(0) of the oncoming uniform parallel flow is greater than the atmospheric pressure p(A) and belongs to (p(1)(e), p(2)(i)). Then at the corners at exit the oncoming flow expands in two symmetric jump-fan (jf) composite waves to the atmospheric pressure. These two jf composite waves interact and emerge as simple waves from their zone of penetration. We present a mathematical analysis of the interaction of the jf composite waves. To construct the flow in the interaction region, we consider a discontinuous Goursat problem for the 2D isentropic irrotational steady Euler equations. The existence of global piecewise C-1 solution to the discontinuous Goursat problem is obtained constructively. (C) 2015 AIP Publishing LLC.
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机译：我们考虑了范德华（Van der Waals）产生的二维（2D）射流，它以平行超音速流的形式从管道中流到大气中。我们假设即将到来的均匀平行流的压力p（0）大于大气压p（A）并属于（p（1）（e），p（2）（i））。然后，在出口的拐角处，迎面而来的气流以两个对称的跳跃扇（jf）复合波扩展到大气压。这两个jf复合波相互作用并从其穿透区域以简单波的形式出现。我们提出了jf复合波相互作用的数学分析。为了构造相互作用区域中的流动，我们考虑二维等熵无旋稳定欧拉方程的不连续Goursat问题。构造性地获得了不连续Goursat问题的整体分段C-1解的存在性。 （C）2015 AIP Publishing LLC。
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