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本文对求解二维欧拉方程组的隐式近似因子分解差分方法进行了简要的分析,并利用它计算了简单直扩张通道内的亚音速、超音速和跨音速管流、绕无限长拐角和对称棱形翼型的超音速绕流以及绕NACA 0012翼型的亚音速、跨音速和超音速绕流等典型定常流动。计算结果表明,它具有良好的适应性和精度,可以正确地捕获强激波和自动满足Kutta条件,Courant数可以取大于1的数值,从而加速收敛。分析和计算都是在贴体坐标下进行的。方法本身可以推广到三维流的计算。
In this paper, we briefly analyze the implicit approximate factorization difference method for solving two-dimensional Euler equations, and use it to calculate subsonic, supersonic and transonic pipe flows in a simple straight divergent channel, Symmetrical prismatic airfoil supersonic flow around and NACA 0012 airfoil subsonic, transonic and supersonic flow around the typical steady flow. The calculated results show that it has good adaptability and precision, can correctly capture strong shocks and automatically satisfy Kutta conditions. Courant numbers can take values larger than 1 to accelerate convergence. Analysis and calculation are carried out in body coordinates. The method itself can be generalized to the calculation of three-dimensional flow.