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李帅, 彭俊, 罗长童, 胡宗民. 基于多层分块算法的激波干扰流场预测. 力学学报, 2021, 53(12): 3284-3297. DOI: 10.6052/0459-1879-21-385
引用本文: 李帅, 彭俊, 罗长童, 胡宗民. 基于多层分块算法的激波干扰流场预测. 力学学报, 2021, 53(12): 3284-3297. DOI: 10.6052/0459-1879-21-385
Li Shuai, Peng Jun, Luo Changtong, Hu Zongmin. Prediction of shock interference flow field structure based on the multi-level block building algorithm. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(12): 3284-3297. DOI: 10.6052/0459-1879-21-385
Citation: Li Shuai, Peng Jun, Luo Changtong, Hu Zongmin. Prediction of shock interference flow field structure based on the multi-level block building algorithm. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(12): 3284-3297. DOI: 10.6052/0459-1879-21-385

基于多层分块算法的激波干扰流场预测

PREDICTION OF SHOCK INTERFERENCE FLOW FIELD STRUCTURE BASED ON THE MULTI-LEVEL BLOCK BUILDING ALGORITHM

  • 摘要: 激波-激波干扰流场预测是超声速乃至高超声速流动中最具挑战性的问题之一. 特别地, 第IV类激波干扰由于其在壁面驻点附近产生极高的热载荷而备受关注. 本文针对圆柱诱导的弓形激波和入射斜激波的干扰问题, 分别基于量热完全气体模型和考虑振动激发的热完全气体模型, 数值求解有黏二维可压缩NS方程, 分析了高温气体效应对激波干扰流场结构, 以及第IV类激波干扰流场状态参数的影响. 接着, 本文基于一种具有广义可分离特性的遗传算法 (多层分块算法), 给出能够预测不同气体模型下第IV类激波干扰流场三波点的坐标位置、超声速射流的几何形状等特征性几何结构的数学模型, 进一步获得高温气体效应对激波干扰类型转变准则影响的定量化评估. 激波干扰类型转变准则面上的多组临界工况的激波干扰流场结构以及壁面压力和壁面热流分布的对比结果表明, 不同气体模型下的激波干扰类型和流场结构差异较为显著, 获得的定量化预测模型对工程中气动热环境的预测具有一定的参考价值.

     

    Abstract: Shock-shock interference flow flied prediction is one of the most challenging problems in supersonic flow and even hypersonic flow. In particular, type IV shock interference has attracted more and more attention due to the extremely high thermal loads it generates in the vicinity of stagnation point. In this paper, we analyze meticulously the effect of high temperature gas effects on the geometric structure of the shock interference and the flow field parameters, especially of the type IV shock interference, based on the calorimetric perfect gas model and the thermal perfect gas model considering only vibration excitation, respectively, by numerically solving the viscous two-dimensional compressible Navier-Stokes equations for the cylindrical-induced bow shock wave and oblique shock wave interference problems. With the increase of free stream Mach number, the effect of high-temperature gas is gradually significant. And then, based on a new genetic algorithm with generalized separability (multi-level block building algorithm), mathematical models that can predict the characteristic geometric structures such as the location of the triple wave point and the geometry of the supersonic jet in the type IV interference under different gas models are presented to obtain a quantitative assessment of the effect of high temperature gas effects on the transition criterion for the type of interference for thermal protection work. The comparison results of the radical interference structure and wall pressure and wall heat flux distribution for multiple sets of critical conditions on the transition criterion surface show that the interference types and flow field structures under different gas models differ significantly, and the obtained quantitative prediction model has certain reference value for the prediction of aerodynamic thermal environment in practical engineering applications. In the end, multiple sets of critical working conditions on the transition criterion surfaces are used to prove it, revealing the engineering significance of the criteria.

     

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