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The correlation-based -Re t transition transport model has been implemented into a hybrid Reynolds-averaged Navier-Stokes solver and evaluated on various test cases. The original model formulation and recently published approaches of different authors for relevant empirical model functions as well as different transition criteria are compared. The prediction of transition with the correlation-based model was applied to a zero pressure gradient flat plate test case and some well-known one-element airfoil test cases. A comparison with the standard approach for transition prediction in the flow solver used based on the e N method was accomplished. The simulation results in terms of transition locations and skin-friction coefficient distributions, performance, and limiting factors of both transition prediction methods for the various test cases are presented and discussed.function that controls the transition length k = turbulent kinetic energy k amb = lower bound for turbulent kinetic energy in the far field M = Mach number N = critical N factor Re x = Reynolds number based on axial coordinate x Re c = Reynolds number based on momentum thickness, critical Re t = Reynolds number based on momentum thickness at transition onset Re = Reynolds number based on momentum thickness Re = Reynolds number based on vorticity Tu = local turbulence intensity Tu 0 = turbulence intensity at the far-field boundary Tu 1 = freestream turbulence intensity U = local velocity x = axial coordinate y = distance in wall coordinates = angle of attack = model constant for the shear-stress transport k-! turbulence model = model constant for the supersonic transport k-! turbulence model = intermittency = molecular viscosity t = eddy viscosity = density ! = specific turbulent dissipation rate ! amb = lower bound for turbulent dissipation rate in the far field

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