Stochastic transonic aerodynamics analysis

Uncertainty quantification is applied to compute its impact on the aerodynamic characteristics. In addition, the contribution of each uncertainty variable to aerodynamic characteristics need to be computed by the uncertainty sensitivity analysis. In this paper, the Sobol's analysis is used to uncertainty sensitivity analysis and a non-intrusive polynomial chaos method is used to uncertainty quantification and Sobol's analysis. By uncertainty quantification, we can learn that the flow characteristics of shock wave and boundary-layer separation is sensitive to the geometric uncertainty in transonic region, which is the main reason that transonic drag is sensitive to the geometric uncertainty. The sensitivity analysis shows that the model can be simplified by eliminate unimportant geometric modes for UQ. Moreover, we can learn which typical geometric modes is important to transonic aerodynamics.