Computing Shock Interactions Under Uncertainty

Abstract

The paper presents an uncertainty propagation method for problems with discontinuous surface responses. Based on Pade-Legendre (PL) approximants in multiple dimensions, the proposed method is global and non-intrusive. In this work, the PL method is applied to a model problem of supersonic flows with multiple possible flow configurations, depending on the uncertain input parameters. The results in term of response surfaces and statistics of the outputs of interest are compared to the traditional stochastic collocation method.