高速流非平行边界层稳定性研究

导出了可压缩流的抛物化稳定性方程（PSE）。针对高速流动，特别是超声速和高超声速流动的非平行边界层稳定性问题进行了研究。引入高效的边界层变换、全流场高精度的差分格式及预估校正迭代和推进求解法来求解PSE方程，使得PSE方法中至关重要的正规化条件得到了满足，确保了数值计算的稳定。采用高马赫数下对稳定性起支配作用的第二模式，研究了高速流边界层稳定性的演变和特征，分析了流动的非平行性、压缩性，以及壁面冷却等因素对流动稳定性的影响．所得结果与相关实验数据吻合较好。

NONPARALLEL BOUNDARY LAYER STABILITY IN HIGH SPEED FLOWS

The parabolized stability equations (PSEs) for high speed flows,especially supersonic and hypersonicflows,are derived and used to analyze the nonparallel boundary layer stability.The proposed numerical tech-niques for solving PSE include the following contents:introducing the efficiently normal transformation of theboundary layer,improving the computational accuracy by using a high-order differential scheme near the wall,employing the predictor-corrector and iterative approach to satisfy the important normalization condition,and im-plementing the stable spatial marching.Since the second mode dominates the growth of the disturbance in highMach number flows,it is used in the computation.The evolution and characteristics of the boundary layer stabili-ty in the high speed flow are demonstrated in the examples.The effects of the nonparallelizm,the compressibilityand the cooling wall on the stability are analyzed.And computational results are in good agreement with the rele-vant data.