Cartesian grid methods for simulating flows with moving boundaries

A recently developed numerical method for flows with moving boundaries is used for simulating the flow-induced vibration of cylinders. The key feature of the numerical method is that it allows us to simulate flows with moving boundaries on stationary Cartesian grids. In this paper we briefly describe the computational methodology. The method is used to simulate (a) transverse flow-induced vibration of a cylinder in a freestream where the computed results are compared with theory and other simulations and (b) flow-induced vibration of a cylinder pair where we examine the effect of relative placement of the cylinders on the vibration of the two cylinders. Results of these simulations are also presented.