Numerical Investigation of Supersonic Injection Using a Reynolds-Stress Turbulence Model

Abstract

Thefull,three-dimensionalFavre-averaged Navier -Stokesequations,coupledwiththesecond-orderZhang etal. (Zhang, H., So, R., Gatski, T., and Speziale, C., A Near-Wall Second-Order Closure for Compressible Turbulent Flows,Near-WallTurbulentFlows ,editedbyR. So,C.Speziale, andB.Launder,Elsevier,NewYork,1993,pp.209 - 218) Reynolds-stress turbulence and K-≤ models, were used to numerically simulate a 25-deg, Mach 1.8 injection into a Mach3.0 crosse ow.Detailed comparisonswith experimental data wereperformed.Analysis of theReynolds- stress turbulence model simulation results revealed physically consistent and accurate predictions for mean e ow and turbulent quantities, whereas the simulations with the K-≤ model resulted in nonphysical and inconsistent turbulence predictions. Analysis of the three-dimensional e owe eld simulation with the Reynolds-stress turbulence model shows that the shock structure downstream of the oblique barrel shock wasa mirrored image of theleeward side of the oblique barrel shock. Furthermore, the downstream location where vortical motion was initiated in the jet plume was caused by the recompression shock-induced vortices. These vortices were generated through the combined effects of the ine ow air upwash behind the plume and the mirrored oblique barrel shock.