研究了基于定常流动解和伴随方程定常解基础上的传统的伴随方法.在此基础上对定态飞行气动外形的优化设计提出了基于非定常流动控制方程瞬态解和非定常伴随方程瞬态解的新的优化方法,称之为动态演化伴随方法.这种新的优化方法保留了传统伴随方法适用于具有大数量设计变量的气动优化问题,而且比传统的伴随方法可节省大量的计算时间.大量算例计算结果表明,新方法与传统方法具有相同的精度. The traditional concomitant method based on the steady flow solution and the steady solution of the adjoint equation is studied. Based on this, the optimal design of the aerodynamic shape of the stationary flight is proposed. Based on the unsteady flow equation, The new optimization method is called dynamic evolutionary companion method.The new optimization method preserves the traditional companion method to the aerodynamic optimization problem with a large number of design variables and saves a lot of computational time than the traditional companion method The calculation results of a large number of examples show that the new method has the same accuracy as the traditional method.