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本文发展了一种适用于求解二维跨音速叶栅流场的松弛方法。采用流线和平行于y-轴的直线族组成的非正交网格系统,在物理平面中求解全位势方程,沿流线构造相关差分格式。数值结果表明,本方法具有收敛速度快、差分格式稳定的优点,松弛150步以后,便可获得基本满意的结果。计算结果和物理分析一致,和试验数据相近。
In this paper, a relaxation method suitable for solving the flow field of two-dimensional transonic Cascades has been developed. Using a non-orthogonal grid system of streamlines and a family of straight lines parallel to the y-axis, the solution to the potential equation in the physical plane is constructed and the relevant difference format is constructed along the streamline. The numerical results show that the proposed method has the advantages of fast convergence and stable differential format. After relaxation of 150 steps, satisfactory results can be obtained. The calculated results are consistent with the physical analysis and similar to the experimental data.