Direct numerical simulation and analysis of a spatially evolving supersonic turbulent boundary layer at M=2.25

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Direct numerical simulation of hypersonic turbulent boundary layers. Part 2. Effect of wall temperature (2010, methodology): “…for all temperature cases; the density scaling brings the magnitude of the compressible extrema closer to the incompressible ones of Spalart (1988), but the compressible peak values are higher than the incompressible ones, as also observed by Gatski & Erlebacher (2002) and Pirozzoli et al. (2004).”
A generalized Reynolds analogy for compressible wall-bounded turbulent flows (2013, methodology): “Prt varies in the range of 0.6 ∼ 0.9, in accordance with the previous studies (Pirozzoli et al. 2004; Duan et al. 2011).”