Direct numerical simulations of isotropic compressible turbulence: Influence of compressibility on dynamics and structures

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Direct numerical simulation of transonic shock/boundary layer interaction under conditions of incipient separation (2010, methodology): “…strategy to solve the governing equations is a modification of a conservative finite-difference approach that has been extensively validated in previous works both for isotropic decaying compressible turbulence and for wall-bounded turbulent supersonic flows (Pirozzoli & Grasso 2004, 2006).”
Characterization of coherent vortical structures in a supersonic turbulent boundary layer (2008, methodology): “By using the DNS database of Spalart (1988), Chong et al. (1998) have characterized the topological properties of wall-bounded flows, and have confirmed the occurrence of Theodorsen’s hairpin-like vortices, as well as the existence of vortex tubes nearly aligned with the streamwise direction.”
Effect of compressibility on the small-scale structures in isotropic turbulence (2012, methodology): “The focal regions fill ∼62 % of the total volume, very close to the 2/3 obtained by Pirozzoli & Grasso (2004) in a decaying compressible isotropic turbulence with initial turbulent Mach number 0.1–0.8.”