U.S.-China Cooperative Research (Engineering): Study of Unresolved Problems of Transonic and Supersonic Equivalence Rules with Lift

这是加州大学洛杉矶分校的郑显基和西北工业大学的罗世军、西安的中国共同完成的一个为期两年的合作项目。它由美国国家科学基金会和西北工业大学联合主办。提出了一种CFD和渐近相结合的研究方法，用于研究涉及升力的等价性规则的理论和应用中的几个未解决的、非线性的方面和相关问题。要考虑的主题包括涉及非线性近场的跨音速和超音速等价规则的新方面，以及通过区域分解(和编程并行性)使用/开发欧拉解和纳维斯托克斯解，其主要目的是确定近场冲击和流动对规则有效性/适用性的影响程度。还包括了一个三维跨音速小扰动方程的计算机程序开发，其具体目的是应用到目前为止还不能得到的用于预测远场激波损失的等效规则。在需要分析的构型中有风洞试验模型，其阻力和流场数据可供比较，以及倾斜的全翼设计，其具有非线性近场的性能增益最为明显。

This is a two-year collaborative project between Hsien-Kei Cheng of the University of California, Los Angeles, and Luo Shijun of Northwestern Polytechnic University, Xi'an, China. It is sponsored jointly by the NSF and the Northwestern Polytechnic University. A combined CFD-asymptotic study is proposed to investigate several unresolved, nonlinear aspects and related issues in the theory and application of equivalence rules involving lift. Among the topics to be considered are new aspects of transonic and supersonic equivalence rules involving a nonlinear near field and the use/development of Euler and Navier-Stockes solutions via domain decomposition (and programming parallelism), with the main objective of ascertaining the degree to which shocks and flow in the near field can affect the rule's validity/applicability. Included is also a computer-program development for a 3-D transonic small-disturbance equation with the specific purpose of applying the equivalence rule for predicting shock loss in the far field, which is unavailable heretofore. Among the configurations to be analyzed are wind-tunnel test models, for which drag and flow-field data are available for comparison, as well as oblique, all-wing designs, of which the performance gain with a nonlinear near field is most apparent.