The interaction of elementary waves for isentropic flow in a variable cross-section duct is obtained [W.C. Sheng and Q.L. Zhang, Commun. Math. Sci., 16:1659–1684, 2018]. The authors have discussed rarefaction wave or shock wave interactions with stationary wave. In this paper, we extend their results to the nonisentropic flow. It can be proved that if one changes $(u,\rho)$ plane in isentropic flow with $(u,p)$ plane in nonisentropic case, the interaction results of rarefaction wave or shock wave with stationary wave can be moved parallel from the isentropic case when contact discontinuity is involved. Thus we mainly focus on the interactions between contact discontinuity and stationary wave. Some numerical results are given to verify our analysis. The results can apply to the interaction of more complicated wave patterns.

中文翻译：

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变截面管道中非等熵流的基本波相互作用

获得了等熵流在变截面管道中的基本波相互作用 [WC Sheng 和 QL Zhang, Commun. 数学。科学。, 16:1659–1684, 2018]。作者讨论了稀疏波或激波与驻波的相互作用。在本文中，我们将他们的结果扩展到非等熵流。可以证明，如果将等熵流中的 $(u,\rho)$ 平面变为非等熵情况下的 $(u,p)$ 平面，则稀疏波或激波与驻波的相互作用结果可以平行移动涉及接触不连续时的等熵情况。因此，我们主要关注接触不连续性和驻波之间的相互作用。给出了一些数值结果来验证我们的分析。结果可以应用于更复杂的波浪模式的相互作用。