comprehensive investigation of k- and k- turbulence models in simulation turbulent supersonic boundary layer generated over smooth and rough flat plates at very high reynolds numbers

in this paper, the accuracy of k- and k- turbulence models in super sonic boundary layer capturing of smooth/rough flat plates have been comprehensively investigated. among these investigations, some sorts of sensitivity analysis, including change in turbulence model, generated-grid density, near wall affects, c magnitude (for boundary layers generated on smooth flat plates), and change in cks, and also k+s (for boundary layers generated on rough flat plates) have been performed. also, the effects of compressibility on the re-laminarization of the turbulent boundary layer have been investigated in details. finally, the accuracy of these turbulence models in capturing cf/cf0 for mach number range lower than 5 have been numerically investigated. to confirm the validity of the results, the numerical results have been compared with some published references.