主管部门: 中国航天科技集团有限公司
主办单位: 中国航天空气动力技术研究院
中国宇航学会
中国宇航出版有限责任公司

激波串的三维结构分析

Analysis on 3D Characteristics of the Shock Train

  • 摘要: 针对二维数值模拟是否能够完全反映激波串真实结构的问题,研究了Mach数1.5和3.0来流条件下激波串的三维模拟结构与二维模拟结构。研究采用Reynolds平均算法的SST湍流模型对喷管及等直段分别进行三维和二维的模拟,网格量分别为1.8×107和2×105。首先,当喷管满流状态完全收敛时,通过在出口施加线性增长反压的方式诱导出激波串结构;然后,对三维模拟结构在各个视角的不同切面与二维模拟结构进行对比分析。研究发现:来流Mach数1.5下的激波串在xyzx两个平面视角的结构都为对称结构,与二维模拟结果均高度相似;来流Mach数3.0下的激波串只有一个视角为对称结构,另一个视角为非对称结构,且非对称视角的结构与二维模拟结果高度相似。因此,对激波串的二维模拟结果仅可反映激波串三维结构中的一个"准二维区域":Mach数1.5的激波串在两个视角的中心切面及两侧对称的一定范围内均可近似为二维结构(准二维区域占比40%左右);而对于Mach数3.0的激波串,只有对称视角中心切面及两侧一定范围内的区域可近似为二维结构(准二维区域占比60%左右)。

     

    Abstract: For a further understanding on 3D shock train structure and correlation between 3D and 2D shock trains at Mach 1.5 and 3.0, the SST turbulence model based on Reynolds average algorithm was employed to simulate the 3D and 2D structures of the shock trains in the isolator respectively, of which the mesh sizes were 18 million and 200 thousand, respectively. First, when the full flow state of the nozzle was completely converged, the shock train structure was induced by a linearly increasing back pressure at the outlet. Then, the 3D shock train simulation results in xy-plane and zx-plane perspectives were analyzed. Finally, structures of the 3D shock train in different slices and structures of the 2D shock train were analyzed for comparison. It is found that the shock train at Mach 1.5 is symmetrical in xy-plane and zx-plane perspectives, which is highly similar to the 2D simulation results. However, the shock train at Mach 3.0 is symmetrical in the xy-plane perspective, while it is asymmetrical in the zx-plane perspective. The asymmetrical structure is highly similar to 2D simulation results. Therefore, there is a ″quasi-2D area″ in the 3D shock train. For the shock train at Mach 1.5, the structures in the areas including the central position and a certain range on both sides of the xy-plane and zx-plane perspectives can be approximated as 2D structures (The proportion of ″quasi-2D area″ is about 40%); for the shock train at Mach 3.0, the structures in the areas including the central position and a certain range on both sides of the symmetrical viewing angle can be approximated as 2D structures (The proportion of ″quasi-2D area″ is about 60%).

     

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