Two-point statistics in the log-law region in DNS of turbulent channel flow

Abstract eng:
Two-point statistics in the log-law region of turbulent channel flow are studied on the basis of high resolution direct numerical simulation (DNS) with the wall Reynolds number and the grid points up to 5120 and 2048 × 1536 × 2048, respectively. The DNS data are consistent with the linear response theory of turbulence. According to the DNS, the Taylor microscale is anisotropic, but has a simple y-dependence (∝ y 1/2 ), and two-point fluctuating-velocity correlations at |r| ∼ y depend on r approximately through r/y α , where y is the distance from the wall, r is the displacement vector between the two points, and α is close to but a little different form 1.

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