Small-scale statistics in high-resolution direct numerical simulation of turbulence: Reynolds number dependence of one-point velocity gradient statistics

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Effect of compressibility on the small-scale structures in isotropic turbulence (2012, background): “(3.2) Values of S3 = −1.4, S3 = −1.9 and S3 = −2.2 are obtained in our three simulations; these are much larger than typical values of −0.4 to −0.6 found in the incompressible turbulence (Ishihara et al. 2007).”
The effect of Reynolds number on inertial particle dynamics in isotropic turbulence. Part 1. Simulations without gravitational effects (2015, unknown): “Fluid particle accelerations are known to be strongly intermittent (e.g., see Voth et al. 2002; Ishihara et al. 2007), with the probability of intense acceleration events increasing with the Reynolds number.”
Comparison of direct numerical simulation databases of turbulent channel flow at Re τ = 180 (2014, background): “In homogeneous turbulence this quantity is typically between − 0.5 and − 0.6, 33,36 while values between − 0.3 and − 0.4 have been measured in a turbulent boundary layer.”