Numerical simulation of laminar flow past a transversely vibrating circular cylinder

Flow past a transversely vibrating circular cylinder is numerically simulated by solving the Navier-Stokes equations and by implementing a modified velocity correction method. Galerkin weighted residual formulation is employed for the spatial discretization along with a second order Runge-Kutta time integration. Primitive variables are approximated by polynomial basis functions defined over three-noded linear triangular elements. The frame of reference is fixed with respect to the vibrating body and the additional acceleration term arising out of this non-inertial transformation is added to the Y-momentum equation. The influence of the cylinder vibration on the wake patterns, phase plane, lift and drag forces, etc., is investigated. The synchronization regime or the "lock-in" boundaries are also established from the present numerical simulations. © 1999 Academic Press.