Three-Dimensional Flow Analysis around a Circular Cylinder. 3rd Report. Case of an Elastically Supported Cylinder.

Abstract

In this study, a numerical method has been developed in order to solve fluid-structure interaction problems, and vortex-induced vibration for incompressible viscous flow past an elastically supported circular cylinder is simulated by two-and three-dimensional calculations. In the results of the three-dimensional calculation the lock-in region, the drastic change of the phase angle between lift force and cylinder displacement, and response amplitude of a cylinder in transverse direction show good agreement with experimental values. Furthermore, the hysteresis loop of the response amplitude can be simulated in the lock-in region, and it is pointed out that the hysteresis depends on the change of three-dimensional vortex structure. Because of such a mechanism hysteresis loop and lock-in phenomenon cannot be simulated with sufficient accuracy in the results of a two-dimensional solver.