三维翼跨音速守恒型全位势流高效差分算法的应用

本文对跨音速守恒型全位势流,用Holst的高效有限差分算法,研制出分析三维翼跨音速流的实用程序。与Holst的TWING程序不同,本文用快速保角转绘生成二维正交O型贴体坐标网格,并以此为基础构造三维贴体坐标网格,因而节省网格生成的机时。本文不仅将方法用到有中等后掠的厚翼,还提供大后掠大根梢比薄翼的计算经验。对根梢比很大,前后缘后掠角相差非常大的机翼,指出本算法的困难,并分析了困难原因。

APPLICATIONS OF AN EFFICIENT ALGORITHM TO TRANSONIC CONSERVATIVE FULL-POTENTIAL FLOW PAST 3-D WINGS

A computer program for analysis of 3-D transonic flow past wings has been developed according to Hoist's highly efficient algorithm of finite difference method. In contrast to the computer code TWING by Hoist, we use fast conformal mapping technique, instead of the grid generation method by Thompson et al, to form 2-D O-type grid, which is then used to generate 3-D body-fitted grid. This way leads to great saving of CPU time in grid generation. For transonic flow computation, the same iteration scheme AF2 as that used in TWING code is applied. The computer program developed has been applied not only to thick wings with moderate sweep angle, but also to highly swept and tapered thin wings. It is shown that the difficult case is the computation for delta wings with tip cut. The reasons for difficulties are also analyzed.