LES Study of Shock Wave and Turbulent Boundary Layer Interaction Justine Li, ∗ Nathan Grube, † Stephan Priebe, ‡ and M. Pino Mart´ ın § The large eddy simulation (LES) of a compression ramp shock wave and turbulent boundary layer interaction (STBLI) is presented. The ramp angle is 24 ◦ and the incoming boundary layer flow conditions are Mach 2.9 and Re θ 2900. The LES data are in good agreement with existing direct numerical simulation (DNS) data with the same incoming flow parameters. The accuracy and reduced resolution requirements of the LES as com- pared to the DNS enables the ability to resolve the aperiodic cycle of the low-frequency unsteadiness characteristic of these flows. Nomenclature p pressure ρ density T temperature u, v, w streamwise, spanwise, and wall-normal velocity U ∞ freestream velocity u τ friction velocity μ dynamic viscosity ν kinematic viscosity M Mach number δ 99% boundary layer thickness δ ∗ compressible displacement thickness θ compressible momentum thickness Re θ Reynolds number based on momentum thickness, θ, and freestream values U ∞ and ν ∞ C f skin-friction coefficient i, j, k computational coordinates in streamwise, spanwise, and wall-normal directions x, y, z physical coordinates in streamwise, spanwise, and wall-normal directions C r k optimal weight for stencil k, using r grid points ω k weight of stencil k IS k smoothness measurement index of stencil k TV k total variation of flux over stencil k Superscript * coordinates referenced to compression corner location + nondimensionalization by inner units, ν w /u τ Subscript w wall quantity ∞ freestream quantity ∗ Graduate Student, Department of Aerospace Engineering, University of Maryland, College Park. † Faculty Research Assistant, Department of Aerospace Engineering, University of Maryland, College Park. ‡ Research Assistant, Department of Aerospace Engineering, University of Maryland, College Park. § AIAA Associate Fellow. Associate Professor, Department of Aerospace Engineering, University of Maryland, College Park. 1 of 10 American Institute of Aeronautics and Astronautics 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition 07 - 10 January 2013, Grapevine (Dallas/Ft. Worth Region), Texas AIAA 2013-0984 Copyright © 2013 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. Downloaded by UNIVERSITY OF MARYLAND on June 10, 2013 | http://arc.aiaa.org | DOI: 10.2514/6.2013-984