WITHDRAWN: Rapidly rotating rimming flow with shocks

We study the shape of the interface in a partially filled horizontal cylinder which is rotating rapidly around its horizontal axis. The rimming flow presented in this work includes both higher-order effects due to weak gravity, inertia and surface tension and the leading-order effect of a constant shear acting at the free boundary. We numerically determine film thickness profiles featuring smoothing shocks in the regime in which the cylinder is rapidly rotating.