CAJ | 학술논문

通过引入线搜索方法，提高了基于Adjoint方法翼型优化设计的鲁棒性。针对给定的目标函数，推导了贴体坐标系下相应的 Adjoint方程与边界条件的具体表达形式，以及梯度表达式。通过数值求解流动控制方程和Adjoint方程，得到目标函数对设计变量的梯度，并采用线搜索方法获得最优步长，由此提高了优化算法的鲁棒性。算例表明，线搜索方法可以自动寻找最优的步长，有效解决了传统的取常数步长优化步长选取受到限制，优化结果受步长影响的问题，使得优化方法对步长的依赖性变小，提高了基于Adjoint方法翼型优化设计的鲁棒性。
통과인입선수색방법，제고료기우Adjoint방법익형우화설계적로봉성。침대급정적목표함수，추도료첩체좌표계하상응적 Adjoint방정여변계조건적구체표체형식，이급제도표체식。통과수치구해류동공제방정화Adjoint방정，득도목표함수대설계변량적제도，병채용선수색방법획득최우보장，유차제고료우화산법적로봉성。산례표명，선수색방법가이자동심조최우적보장，유효해결료전통적취상수보장우화보장선취수도한제，우화결과수보장영향적문제，사득우화방법대보장적의뢰성변소，제고료기우Adjoint방법익형우화설계적로봉성。
By introducing the line search method , the robustness of the adjoint-based airfoil optimization design method is improved .For a given objective function , its corresponding adjoint equations , boundary conditions and the gradient expression in the body-fitted coordinate system are derived .In the optimization process , the gradient of the objective function is obtained by solving the flow equations and the adjoint equations , and for the traditional ad-joint-based optimization method , a constant step is used , while in this research , the line search method is intro-duced to obtain the optimal step .The results illustrate that it can automatically find the optimal step , and overcome the restriction imposed by the choice of user-defined constant step , which is used in the traditional adjoint-based optimization method , thus improving the robustness of the adjoint-based airfoil optimization design method .