中文摘要：

平均经过的方程系统(无尾猿) 由介绍需要被当模特儿关上方程系统的确定的关联(DC ) 在稳定的州的环境通过多级式的压缩机为不稳定的片排相互作用为财务提供一个严密数学框架。这研究的主要目的是提供卓见进 DC 特征和对无尾猿的平均时间的流动领域的 DC 的影响。部分地 1 份这由二部合成的报纸，第一 3D 粘滞不稳定、平均时间的流动 CFD 解答者被开发调查无尾猿技术。然后稳定、不稳定的模拟在一个接近音速的压缩机阶段被进行。从两模拟的结果与热点相比是不稳定的相互作用的意义。而且， DC 的分发特征被学习，在转子 / 定子接口的 DC 与他们的空间关联(SC ) 相比。最后，稳定、平均时间(有 DC 的采用的无尾猿) 为下游的定子的模拟独自被进行采用从不稳定的结果导出的 DC。从稳定、平均时间的模拟的结果与平均时间的不稳定的结果相比。比较证明与 DC 采用无尾猿的模拟能复制平均时间的领域和 3D 粘滞平均时间的流动解答者被验证。

英文摘要：

The average-passage equation system （APES） provides a rigorous mathematical framework for account- ing for the unsteady blade row interaction through multi- stage compressors in steady state environment by introduc- ing deterministic correlations （DC） that need to be modeled to close the equation system. The primary purpose of this study is to provide insight into the DC characteristics and the influence of DC on the time-averaged flow field of the APES. In Part 1 of this two-part paper, firstly a 3D viscous unsteady and time-averaging flow CFD solver is developed to investi- gate the APES technique. Then steady and unsteady simu- lations are conducted in a transonic compressor stage. The results from both simulations are compared to highlight the significance of the unsteady interactions. Furthermore, the distribution characteristics of DC are studied and the DC at the rotor/stator interface are compared with their spatial cor- relations （SC）. Lastly, steady and time-averaging （employing APES with DC） simulations for the downstream stator alone are conducted employing DC derived from the unsteady re- suits. The results from steady and time-averaging simula- tions are compared with the time-averaged unsteady results. The comparisons demonstrate that the simulation employing APES with DC can reproduce the time-averaged field and the 3D viscous time-averaging flow solver is validated.