计算绕薄翼型跨音速非定常流的积分方程法

 本文从小扰动方程出发推导出绕薄翼型的跨音速非定常流动的积分方程,为使此方程适用于具有激波的流场引入人工粘性,并对其数值求解。通过算例讨论了人工粘性和计算域大小对计算结果的影响,与实验及其它数值计算结果比较,表明本方法的准确度令人满意。计算量小,收敛性好是此法的特点。

COMPUTATIONS OF UNSTEADY TRANSONIC FLOWS ABOUT THIN AIRFOILS BY INTEGRAL EQUATION METHOD

An integral equation for two-dimensional unsteady transonic small disturbance(TSD)flo\vs around oscillating airfoils is derived from the unsteady TSD equation. An artificial viscosity is introduced to make the integral equation solvable for flows with shocks. The integral equation is then solved by numerical quadrature method. Numerical results for a parabolic are airfoil of thickness ratio 0.06, a NACA 0012 airfoil and a NACA64A006 airfoil are presented and compared with experimental data and other numerical results in some cases. The discussions of the influences of artificial viscosity and computational domain toward the results are also given. The comparisons show that the integral equation method is satisfactory so far as the accuracy is concerned, and consumes less computer time and yields a fast convergence.