基于欧拉方程的机翼设计方法及应用

以Takanashi提出的三维机翼设计理论为基础，研究与发展了一个基于欧方程和“正－反迭代、余量修正原理”的机翼设计方法。用改进的无限插值方法生成绕机翼的O－O贴体网格，采用三维欧拉方程作为充动分析计算的基本方程，该设计方法已用于某无人机机翼和一个超临界机翼设计，设计结果达到了预期的目标。

Wing design method and application based on Euler equations

In this thesis, Based on three dimensional wing inverse designtheory proposed by Takanashi, a wing inverse design method based on Euler equation and “direct-inverse iteration，residual-correction “concept is presented. The O-O mesh around wing is generated by the improved transfinite method. The Euler equation analysis method is used to resolve flow field. The method has been applied to the low speed wing design for a unmanned aircraft and to a supercritical wing design successfully