Uncertainty Quantification of Turbulence Model Closure Coefficients for Transonic Wall-Bounded Flows


The goal of this work was to quantify the uncertainty and sensitivity of commonly used turbulence models in Reynolds-Averaged Navier-Stokes codes due to uncertainty in the values of closure coefficients for transonic, wall-bounded flows and to rank the contribution of each coefficient to uncertainty in various output flow quantities of interest. Specifically, uncertainty quantification of turbulence model closure coefficients was performed for tran- sonic flow over an axisymmetric bump at zero degrees angle of attack and the RAE 2822 transonic airfoil at a lift coefficient of 0.744. Three turbulence models were considered: the Spalart-Allmaras Model, Wilcox (2006) k-ω Model, and the Menter Shear-Stress Transport Model. The FUN3D code developed by NASA Langley Research Center was used as the flow solver. The uncertainty quantification analysis employed stochastic expansions based on non-intrusive polynomial chaos as an efficient means of uncertainty propagation. Several integrated and point-quantities are considered as uncertain outputs for both CFD problems. All closure coefficients were treated as epistemic uncertain variables represented with intervals. Sobol indices were used to rank the relative contributions of each closure coefficient to the total uncertainty in the output quantities of interest. This study identified a number of closure coefficients for each turbulence model for which more information will reduce the amount of uncertainty in the output significantly for transonic, wall-bounded flows.

Meeting Name

22nd AIAA Computational Fluid Dynamics Conference (2015: Jun. 22-25, Dallas, TX)


Mechanical and Aerospace Engineering

Research Center/Lab(s)

Center for High Performance Computing Research

Keywords and Phrases

Angle of Attack; Computational Fluid Dynamics; Fluid Dynamics; NASA; Navier Stokes Equations; Shear Stress; Stochastic Systems; Supersonic Aircraft; Transonic Aerodynamics; Turbulence Models; Wall Flow; NASA Langley Research Center; Quantities of Interests; Relative Contribution; Reynolds Averaged Navier Stokes Codes; Shear-Stress Transport; Spalart-Allmaras Model; Uncertainty Propagation; Uncertainty Quantifications; Uncertainty Analysis

International Standard Book Number (ISBN)


Document Type

Article - Conference proceedings

Document Version


File Type





© 2015 American Institute of Aeronautics and Astronautics (AIAA), All rights reserved.

Publication Date

01 Jan 2015

This document is currently not available here.