Numerical simulation of turbulent plane Poiseuille-Couette flow

We describe a study of plane Poiseuille-Couette (PPC) flow via DNS, wall-resolved LES and wall-modeled LES for flows where the wall velocity difference and mean pressure gradient are aligned.  In LES, the stretched-vortex subgrid-scale model and virtual-wall model are employed.  Two Reynolds numbers exist in PPC flow, $Re_c=U_c h/\nu$ based on the wall velocity $U_c $ and $Re_M = M/\nu$ with $M$ the volume flux per unit span, where $2h$ is the distance between walls and $\nu$ the kinematic viscosity.  In DNS, we start from plane Couette flow ($Re_M=0$) and search for  the presence of stream-wise rolls in a moderate Reynolds-number quadrant of the $Re_c$-$Re_M$ plane. In WRLES and WMLES, we focus on a curve in this quadrant where the velocity gradient on one wall is zero. The behavior of  turbulent PPC flow including velocity profiles, turbulent intensities and other flow features, will be discussed.