论文部分内容阅读
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。
The parabolic stability equation (PSE) for compressible flow is derived. The problem of non-parallel boundary layer stability for high-speed flow, especially for supersonic and hypersonic flows, is studied. The efficient boundary layer transformation, the full flow field high-precision differential scheme, and the predictive correction iteration and propulsion solution are introduced to solve the PSE equation so that the critical normalization conditions in the PSE method are satisfied and the numerical stability is ensured . The second mode, which dominates the stability at high Mach number, is used to study the evolution and characteristics of the stability of the high velocity flow boundary layer. The effects of flow non-parallelism, compressibility and wall cooling on the flow stability The results obtained are in good agreement with the relevant experimental data.