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本文将数值优化方法同计算流体动力学（ＣＦＤ）相结合，形成两种跨声速翼型的气动设计方法，即：最优化方法和反设计方法。采用求解Ｅｕｌｅｒ方程的有限体积法计算流场，通过结合优化算法，从正反两个方向对跨声速翼型进行气动优化设计。实例证明它们是翼型气动设计的有效方法，有较高的工程应用价值。
In this paper, the numerical optimization method is combined with Computational Fluid Dynamics (CFD) to form two aerodynamic design methods of transonic airfoil, namely the optimization method and the inverse design method. The finite volume method to solve the Euler equation is used to calculate the flow field. The aerodynamic optimization design of the transonic airfoil is carried out in both forward and reverse directions by combining the optimization algorithm. The examples prove that they are effective methods of airfoil aerodynamic design and have high engineering application value.