Logarithmic-layer turbulence: a view from the wall

Abstract

The observability of the flow field away from the wall in turbulent channel flow is studied using only wall observations. Reconstructions are generated from noiseless but limited wall data using linear stochastic estimation, with emphasis on the quality of the reconstruction. All the velocities are well reconstructed in the buffer layer, but only relatively large "wall-attached" eddies are observable farther from the wall. In particular, the large structures accounting for approximately 40% of the total kinetic energy and of the tangential Reynolds stress are captured accurately. It is argued that this should allow the use of wall sensors for the active control of logarithmic-layer turbulence. It also suggests a quantitative definition of "wall-attached" eddies.