We formulate and solve data-driven aerodynamic shape design problems with distributionally robust optimization (DRO) approaches. Building on the findings of the work \cite{gotoh2018robust}, we study the connections between a class of DRO and the Taguchi method in the context of robust design optimization. Our preliminary computational experiments on aerodynamic shape optimization in transonic turbulent flow show promising design results.

翻译：本文采用分布鲁棒优化方法构建并求解了数据驱动气动外形设计问题。基于文献\cite{gotoh2018robust}的研究成果，我们探讨了一类分布鲁棒优化与田口方法在鲁棒设计优化中的关联。在跨声速湍流气动外形优化的初步计算实验中，我们的方法展现了具有前景的设计效果。