Non-Intrusive Polynomial Chaos Methods for Uncertainty Quantification in Fluid Dynamics


This paper examines uncertainty quantification in computational fluid dynamics (CFD) with non-intrusive polynomial chaos (NIPC) methods which require no modification to the existing deterministic models. The NIPC methods have been increasingly used for uncertainty propagation in high-fidelity CFD simulations due to their non-intrusive nature and strong potential for addressing the computational efficiency and accuracy requirements associated with large-scale complex stochastic simulations. We give the theory and description of various NIPC methods used for non-deterministic CFD simulations. We also present several stochastic fluid dynamics examples to demonstrate the application and effectiveness of NIPC methods for uncertainty quantification in fluid dynamics. These examples include stochastic computational analysis of a laminar boundary layer flow over a flat plate, supersonic expansion wave problem, and inviscid transonic flow over a three-dimensional wing with rigid and aeroelastic assumptions.

Meeting Name

48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition (2010: Jan. 4-7, Orlando, FL)


Mechanical and Aerospace Engineering

Keywords and Phrases

Computational Efficiency; Rigid Wings; Aeroelasticity; Aerospace engineering; Fluid dynamics; Fluids; Laminar boundary layer; Stochastic models; Stochastic systems

Document Type

Article - Conference proceedings

Document Version


File Type





© 2010 American Institute of Aeronautics and Astronautics (AIAA), All rights reserved.

Publication Date

07 Jan 2010

This document is currently not available here.