跨音速三维机翼及翼身组合体非守恒型全位势流AF3算法

 本文对跨音速非守恒型全位势流,用Baker的快速有限差分法,改变其网络拓扑,研制出分析机翼及翼身组合体跨音速绕流的实用程序。其中包括:对“C-H”型贴体坐标网格提出AF3算法的具体实施方案取得了快速收敛效果;采用张量形任意曲线坐标上的非守恒全位势方程,使得程序中跨音速求解部分既能用于分析单独机翼又能用于翼身组合体跨音速绕流计算。

AN AF3 ALGORITHM FOR THE CALCULATION OF TRANSONIC NONCONSERVATIVE FULL POTENTIAL FLOWS OVER WINGS OR WING / BODY COMBINATIONS

A computer code has been developed for analyzing the transonic flow over wings or wing / body combinations using the nonconservative full potential equation according to Baker's highly efficient finite difference algorithm. A detailed, fully implicit AF3, approximate factorization (AF) iteration scheme, which is proven to have fast convergence, is constructed in body-fitted "C-H" type grid, which is different from the mesh topology that Baker used for this scheme. The parts of the transonic solution in the program can provide the analyses not only to flow problems of wings but also for the calculations of transonic flows over wing / body combinations, due to the utilization of a tensor form for the nonconservative full potential equation in an arbitrary curved coordinate system.