Numerical investigation on scale-by-scale Reynolds stress transport in plane Couette turbulence

Scale-by-scale Reynolds stress transport in a turbulent plane Couette flow is investigated by means of direct numerical simulation. For reducing computational cost, we employ a computational domain whose spanwise length is large enough to capture the essential dynamics of the flow whereas the streamwise extent is as small as the minimal length. The computation with such a reduced-size domain is confirmed to well reproduce the statistical characteristics of the flow including the spectral contents. We investigate the spectral budget of the Reynolds-shear-stress transport with a particular interest in the roles of the interscale and spatial transport by nonlinear scale interactions, and the effect of pressure, which is extremely difficult to measure by experiment, is also discussed.