摘要
为表征分离流和涡运动的空间特征，实验和计算多给出各横截面上流态。本文给出了横截面流态的拓扑规则，它们是：物体横截面轮廓线上半奇点的分布规则；横截面流态奇点总数的拓扑规则；Poincare指数判定表面纵向分离起始和终结的规则；物面坡度为正时，横截面对称线上奇点数目的规则；物面坡度为负时，横截面对称线上奇点数目的规则。文中通过对正钝锥和倒钝锥高超声速绕流的NS方程的数值模拟，比较和验证了上面的拓扑规则。结果表明，计算和理论完全一致，理论对指导数值模拟，具有重要意义。
In experimental as well as computational studies,the vortex structure in the flow fields over the body is often examined on the cross section perpendicular to the body axis. On such planes, the projected or sectional streamlines are always exhibited crossflow pattern.In this paper some new topological rules of the cross flows are presented.They are: 1. The distribution rule of the semi-singular point at the intersection line between the body surface and its cross section. 2. The rule of total singular point number for sectional streamlines on the cross section. 3. The poincare's index criterion for the flow over the body with or without longitudinal separation. 4. The rule of singular point number at the sytmmetric line of the cross section.In addtion, NS equations are solved for tile flows over the bluntcone and Apollo-like spaceship, The toplogical structures of the cross flow arc drawn by numerical results. The comparison between calculated results and conclusions obtained by above topological rules show that the agreement is very good, and the topological rules are very useful to explore the flow structures.
出处
《空气动力学学报》
CSCD
北大核心
1997年第1期1-12,共12页
Acta Aerodynamica Sinica
基金
国家自然科学基金
关键词
横向流拓扑
分离流动
旋涡运动
数值模拟
sectional streamlile
crossflow topology
separated flow
vortex motion
numerical simulation
