Investigation of Turbulence Model Uncertainty for Supersonic/Hypersonic Shock Wave-Boundary Layer Interaction Predictions
The purpose of this paper is to present the results of an uncertainty and sensitivity analysis study for commonly used turbulence models in Reynolds-Averaged Navier-Stokes codes due to the epistemic uncertainty in closure coeficients for selected supersonic and hypersonic shock wave-turbulent boundary layer interaction problems that are of interest to the turbulence modeling community. The CFD cases studied include: (1) a turbulence model validation case consisting of an axisymmetric cylindrical body with a trailing edge are of 20 degrees at an upstream Mach number of 7.11, and (2) an axisymmetric shock wave boundary layer interaction case with a trailing edge are of 30 degrees at Mach = 2.85 that is of interest in the NASA's 40% Challenge and CFD Prediction Error Assessment Workshop. Two turbulence models are investigated: the Spalart-Allmaras Model and the Wilcox (2006) k-ω Model. The flow solver used in the study is FUN3D, a code developed by NASA Langley Research Center. The uncertainty quantification approach involves stochastic expansions based on non-intrusive polynomial chaos to effciently propagate the uncertainty. All closure coeficients are treated as epistemic uncertain variables. Sobol indices are used to rank the relative contribution of each closure coeficient to the total uncertainty for several output flow quantities. The results of the current study generalize the findings of a previously conducted study on shock wave-turbulent boundary layer interactions and identify a set of closure coeficients for each turbulence model which contribute most to the uncertainty in various output quantities of interest.
A. J. Erb and S. Hosder, "Investigation of Turbulence Model Uncertainty for Supersonic/Hypersonic Shock Wave-Boundary Layer Interaction Predictions," Proceedings of the 22nd AIAA International Space Planes and Hypersonics Systems and Technologies Conference (2018, Orlando, FL), American Institute of Aeronautics and Astronautics (AIAA), Sep 2018.
The definitive version is available at https://doi.org/10.2514/6.2018-5195
22nd AIAA International Space Planes and Hypersonics Systems and Technologies Conference (2018: Sep. 17-19, Orlando, FL)
Mechanical and Aerospace Engineering
Keywords and Phrases
Boundary layer flow; Computational fluid dynamics; Hypersonic boundary layers; Hypersonic flow; NASA; Navier Stokes equations; Reynolds equation; Sensitivity analysis; Shock waves; Stochastic systems; Turbulence models; Turbulent flow; Uncertainty analysis, NASA Langley Research Center; Quantities of interests; Reynolds averaged navier stokes codes; Shock wave boundary layer interactions; Supersonic and hypersonic; Turbulent boundary-layer interactions; Uncertainty and sensitivity analysis; Uncertainty quantifications, Atmospheric thermodynamics
International Standard Book Number (ISBN)
Article - Conference proceedings
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