任意翼型有小分离气泡跨音速绕流的迭代算法

 本文给出一种带小分离气泡的任意翼型粘性跨音速绕流的计算方法,采用有粘-无粘干扰迭代的概念。无粘流的全速势方程用AF差分格式在保角变换法生成的计算网格中求解,粘流附面层方程用C-S盒式法求解,用逆算法消除分离点处的奇性。本文对Ma_∞=0.8,Re_∞=2×10~6,迎角α=3.5°和4°的NACA64A010翼型粘性绕流进行了计算,结果与实验相比较,吻合良好。

CALCULATION OF STEADY TRANSONIC VISCOUS FLOWS WITH SMALL SEPARATION BUBBLE AROUND AN ARBITRARY AIRFOIL

An innovative method for calculating steady transonic viscous flows around an arbitrary airfoil with small separation bubble is presented. The concept of inviscid-viscous interaction makes it possible to calculate complex transonic flow field at less cost and computer storage.The inviscid flows are governed by the conservative full potential e-quations and solved by a fast algarithm. The flow field around the airfoil is transformed into the inner of the unit circle by the conformal mapping, in which the FFT technique is used. The boundary layer equations are numerically solved using the C-S-K box method. The inverse method on boundary layer equations is used to avoid the Goldstein Singularity at the separation point. Turbulent flows are simulated by simple vortex-eddy, model.Two examples on transonic viscous flows around NACA64A010 airfoil with free stream Mach number 0.8 and the angles of attack 4°and 3.5°,respectively, are calculated. The agreement between numerical and experimental results is very well.