Three-dimensional analysis for vortex-induced vibrations of a circular cylinder with a low Scruton number

Abstract

We present numerical results for vortex-induced vibrations of a two-dimensional circular cylinder which is mounted in a uniform flow. The circular cylinder is treated as a rigid body of two degrees of freedom and is elastically supported by damper-spring systems. In this computation, we assume a low Scruton number between the circular cylinder and the fluid flow. In addition, two kinds of the Reynolds numbers, 10⁴ and 10⁶, are adopted for computations of the vortex-induced vibrations of the circular cylinder,and numerical results which are obtained from two kinds of the Reynolds numbers are discussed. The Navier-Stokes equations are used for computation of fluid flow and spatial discretization of the Navier-Stokes equations is performed by FEM.