Large Eddy Simulation of a Supersonic Turbulent Boundary Layer at M=2.25

This work deals with numerical simulation of a spatially-developing supersonic turbulent boundary layer at a free-stream Mach number of M = 2.25 and a Reynolds number of R = 5,000 with respect to free-stream quantities and momentum thickness at inflow. Since a shock-capturing scheme is used, a hybrid numerical scheme has been developed to reduce its dissipative properties. The issue of the generation of coherent turbulent boundary conditions is also addressed. A method originally developed by Lund, based on a resealing technique, has been modified by adjusting the scaling coefficient to provide smooth transition between the inner and the outer parts of the boundary layer. This modification is essential for avoiding the drift previously observed in the mean streamwise velocity profile. The obtained results are analysed and discussed in terms of mean and turbulent quantities. Excellent agreement between LES, DNS and experimental data is obtained. The validity of the assumptions of the strong Reynolds analogy (SRA) is also addressed.