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Reynolds‐stress modelling of M = 2.25 shock‐wave/turbulent boundary‐layer interaction
Authors:I Vallet
Institution:Institut d'Alembert, Université Pierre et Marie Curie‐Paris 6, case 161, 4 place Jussieu, 75005 Paris, France
Abstract:M = 2.25 shock‐wave/turbulent‐boundary‐layer interactions over a compression ramp for several angles (8, 13 and 18°) at Reynolds‐number Reurn:x-wiley:02712091:media:FLD1540:tex2gif-inf-1=7 × 103 were simulated with three low‐Reynolds second‐moment closures and a linear low‐Reynolds standard k–ε model. A detailed assessment of the turbulence closures by comparison with both mean‐flow and turbulent experimental quantities is presented. The Reynolds‐stress model which is wall‐topology free and which uses an optimized redistribution closure, is in good agreement with experimental data both for wall‐pressure and mean‐velocity profiles. Detailed analysis of three components of the Reynolds‐stress tensor (comparison with measurements and transport‐equation budgets) provides a critical evaluation of full Reynolds‐stress models for the separated supersonic compression ramp. The discrepancy observed in the shock‐wave foot region, between computations and measurements for the Reynolds‐stresses profiles, could be explained by considering the experimental shock‐wave oscillation and directions for future modelling work are indicated. Copyright © 2007 John Wiley & Sons, Ltd.
Keywords:Reynolds‐stress model  shock‐wave  supersonic flows  separation zone
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