Numerical simulation of laminar flow past a transversely vibrating circular cylinder

Flow past a transversely vibrating circular cylinder is numerically simulat ed by solving the Navier-Stokes equations and by implementing a modified ve locity correction method. Galerkin weighted residual formulation is employe d for the spatial discretization along with a second order Kunge-Kutta time integration. Primitive variables are approximated by polynomial basis func tions defined over three-noded linear triangular elements. The frame of ref erence is fixed with respect to the vibrating body and the additional accel eration term arising out of this non-inertial transformation is added to th e Y-momentum equation. The influence of the cylinder vibration on the wake patterns, phase plane, lift and drag forces, etc., is investigated. The syn chronization regime or the "lock-in" boundaries are also established from t he present numerical simulations. (C) 1999 Academic Press.