Uncertainty Propagation for a Turbulent, Compressible Nozzle Flow Using Stochastic Methods

A fully spectral, polynomial chaos method for the propagation of uncertainty in numerical simulations of compressible, turbulent flow is described. The method is applied to the flow in a quasi-one-dimensional nozzle. Results demonstrate the ability of the method to propagate accurately the uncertainty throughout the entire numerical field. Comparison and validation were made with the reference Monte Carlo method. An exact method and an approximate method for the computation of inner products are also discussed in terms of efficiency and number of operations required