垂直于物面的横截面上流态的拓扑

对于旋成体有迎角绕流，本文研究了垂直于物面的横截面上的流态结果。利用解析方法，给出了物面轮廓线上、迎风和背风对称线上以及全横截面上截面流线方程奇点的分布规律以及奇点沿流动方向的演变规律，从而可定性地确定截面流态的结构。通过求解ＮＳ方程数值模拟了钝锥有迎角高超声速绕流流场，计算获得的垂直于物面的横截面流线的拓扑结果和理论分析完全一致。

Topology of Flow Patterns on Cross Section Perpendicular to Surface of Revolutionary Body

The topology of flow patterns on cross section perpendicular to the body surface are studied for flows around a body of revolution at angles of attack. The rules satisfied by the singular points of the sectional streamlines on the cross section and along the configuration line and symmetric line are revealed systematically. The numerical results obtained by solving NS equations are in agreement well with the analytical results. A conclusion can be drawn from numerical flow visualization and topological analysis that the flow patterns on the section perpendicular to the body surface are different from those perpendicular to the body axis,the former can exhibit the beginning of the flow separation and developing of the vortex more clearly.