  We investigate the dynamics of flows past a stationary circular cylinder
embedded on spherical and cylindrical surfaces at a fixed Reynolds number of
100. For flows on surfaces, it is convenient to express the Navier-Stokes
equations in exterior calculus notation. We employ the discrete exterior
calculus (DEC) method (Mohamed et al. (2016)) to numerically solve the
equations. We explore the role played by curvature on dynamical quantities of
interest: the drag coefficient (Cd), the lift coefficient (Cl), and the
Strouhal number (St). Our simulations indicate that the effect of surface
curvature on these quantities and the overall flow dynamics is somewhat
insignificant thereby implying that the dynamics of the flow past a stationary
circular cylinder exhibits universality, independent of the embedding surface
geometry.
