改进的势函数模型与跨声速含激波流动

本文在分析激波处流动性质和熵条件的基础上，指出了传统等熵势函数在跨声速流动计算中的局限性；对解除了等熵和无旋约束的一些改进了的势函数模型作了系统的综述和分析，进一步讨论了均熵与无旋条件在物理上的相容性以及人工粘性对激波处Ｒａｎｋｉｎ－Ｈｕｇｏｎｉｏｔ条件的影响，为势函数方法在跨声速流动中的拓广应用及进一步提高激波计算精度提供更为广泛的途径

IMPROVED POTENTIAL FUNCTION MODELS AND TRANSONIC FLOWS

In the present paper some points concerning transonic flows and traditional potential method are briefly reviewed. Improved potential formulations in which the shortcomings of the isentropic potential function are overcome have been discussed andcompared systematically. The analysis of the compatibility of isentropy and irrotationality conditions shows that the former one is not the necessary presumption of the latter one. The affection of the artificial density supposition on the Rankin-Hugoniot relation is also discussed. The purpose of this paper is to present more universal theoretical basis and offer approaches for improving the accuracy of shock wave computation and thus to extend the application range of potential function methods in transonic flows.