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Reynolds‐stress modelling of M = 2.25 shock‐wave/turbulent boundary‐layer interaction
Author(s) -
Vallet I.
Publication year - 2007
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1540
Subject(s) - reynolds stress , mechanics , reynolds stress equation model , turbulence , reynolds number , boundary layer , physics , reynolds averaged navier–stokes equations , reynolds decomposition , shock (circulatory) , turbulence kinetic energy , classical mechanics , reynolds equation , k omega turbulence model , medicine
M = 2.25 shock‐wave/turbulent‐boundary‐layer interactions over a compression ramp for several angles (8, 13 and 18°) at Reynolds‐number Re θ 0=7 × 10 3 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 computationsand 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.