Abstract
Validation of nonlinear two- and three-equation, eddy-viscosity turbulence models (NLEVM)in transonic e ows featuring shock/boundary-layer interaction and separation is presented. The accuracy of the models is assessed againstexperimentalresultsfortwotransonice owsoverbumpgeometries.Moreover,theaccuracyandefe ciencyof NLEVMsisalsoassessedincontrasttonumericalpredictionsobtainedbyavarietyofothermodelsemployedinthis study. These include two linear eddy-viscosity k‐≤ models, the k‐! shear-stress transport model, and a nonlinear version of the k‐! model. Discretization of the mean e ow and turbulence transport equations is obtained by a characteristics-based scheme (Riemann solver ) in conjunction with an implicit unfactored method. The study shows that NLEVMs improve the numerical predictions in shock/boundary-layer interaction, compared to the linear models, but they require longer computing times. Nomenclature A = Lumley’ s e atness parameter, ´ 1 i 9 (A2 i A3) A2 = second invariant of Reynolds-stress anisotropy, ´ a ija ij A3 = third invariant of Reynolds-stress anisotropy, ´ a ika kja ji c
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