Modelling and computation of laminar unsteady flow past oscillating and rotating circular cylinders

In this paper a finite difference solution is presented for the 2D, unsteady incompressible Navier-Stokes equations for laminar flow about fixed, oscillating or rotating cylinders. Equations are transformed to a non-inertial system fixed to the cylinder. Convective terms are handled by a third order
upwind difference, other space derivatives by fourth order central differences, and time derivatives by forward differences. The computed Strouhal numbers for fixed cylinders compare well with experimental results. The variation of time mean and root- mean-square values of lift and drag coefficients with rotation parameter $\alpha$ is also shown for a rotating cylinder for two different grids. Amplitude bounds of locked-in vortex shedding due to crossflow cylinder oscillation were determined for Re=180.