Large-eddy simulation of high-Reynolds-number supersonic boundary layers using the approximate deconvolution model and a rescaling and recycling technique

Spatially developing supersonic turbulent boundary layers at a Mach number of 2.5 and momentum-thickness Reynolds numbers at inflow of 4530 and 10 049, respectively, are computed with large-eddy simulation using the approximate deconvolution model [Stolz et al., Phys. Fluids 13, 2985 (2001)]. Turbulent inflow conditions are generated by rescaling the turbulent boundary layer at some distance downstream of inflow and reintroducing the rescaled mean profiles and fluctuation fields at inflow. This technique follows essentially that of Lund et al. [J. Comput. Phys. 140, 233 (1998)], albeit simplified and adapted for compressible flow. The simulations feature rather short spatial transient behavior and the results agree well with experimental data and theoretical correlations. The validity of assumptions of the strong Reynolds analogy is addressed.