边界层横流驻定扰动稳定性问题

STABILITY PROBLEMS OF CROSSFLOW STATIONARY DISTURBANCES IN THE BOUNDARY LAYER

采用直接对稳定性方程进行数值积分的方法，计算和研究三维可压（可带边界层控制）边界层横流驻定扰动（ｓｔａｔｉｏｎａｒｙｄｉｓｔｕｒｂａｎｃｅ）稳定性问题。导出积分初始边界处用于数值计算的矩阵表达式。通过改进的正则正交化并与误差判断相结合的方法，有效地控制正交化进程，克服了稳定性方程是刚性方程在积分求解中的困难。算例分析研究了跨音速后掠翼前部横流驻定扰动稳定性变化的关键因子和主要影响因素。

A numerical integration method for stability equations is used, and stability problems of crossflow stationary disturbances in three dimensional compressible boundary layers which may have the boundary layer control are computed and investigated. An exact computational matrix expression in the outer edge where the integration is started is derived. Difficult problems in the integration for the stability equation which is a stiff equation are overcome by improved orthonormalization procedure, and orthogonal progress is controlled efficiently by using an error adjustable method. Different examples are used to study the key problem of stability changes and main effective factors of crossflow stationary disturbances is the front of transonic swept wings. Results computed are shown to be in good agreement with available data.