This paper is devoted to the robust optimization of nacelle liners (acoustic treatments). The full computational aeroacoustic model is based on the convected Helmholtz equation in presence of a nonhomogeneous flow velocity field, which is computed by solving the potential Euler equations. Uncertainties are taken into account in order to increase the robustness of the predictions. A reduced-order computational aeroacoustic model is constructed in order to implement the nonparametric probabilistic model of uncertainties induced by the modeling errors in the aeroacoustic model and in the liner model. In addition, the uncertainties on the acoustic excitation induced by the fan are taken into account using the parametric probabilistic approach. The developed methodology is applied to a three-dimensional nacelle intake and allows for computing the confidence regions of the random far-field radiated pressure in terms of random sound pressure level, which are compared with experiments for one flight condition, one frequency, and for two types of liners.

本文致力于机舱内衬的稳健优化（声学处理）。完整的计算航空声学模型基于存在非均匀流速场的对流Helmholtz方程，该方程是通过求解潜在的Euler方程来计算的。为了增加预测的稳健性，考虑了不确定性。为了实现由航空声学模型和线性模型中的建模误差引起的不确定性的非参数概率模型，构造了降阶计算航空声学模型。另外，使用参数概率方法考虑了由风扇引起的声激励的不确定性。