A Numerical Investigation of Vortex Induced Vibration on an Elastically Mounted Rigid Cylinder

Abstract

The Vortex-Induced Vibration on an elastically mounted circular cylinder is investigated by the numerical solution of the two-dimensional Reynolds Averaged Navier-Stokes equations and results are compared with experimental data. The upwind TVD scheme of Roe – Sweby is used to solve the governing equations and the k-ε turbulence model is used to simulate the turbulent flow in the wake of the cylinder. The cylinder is laterally supported by a spring and a damper and is free to oscillate in the transverse direction. Results for the lift coefficient amplitude, displacement amplitude, frequency, phase angle, and power absorbed by the system are presented and compared to experimental data. The code was tested for the fixed cylinder case, and for the moving cylinder. The comparison with experimental data obtained from the literature showed the good quality of the numerical results and validated the code for simulations of vortex-induced vibration.

Vortex-induced vibration on a two-dimensional circular cylinder with low Reynolds number and low mass-damping parameter

“…Previous calculations by Wanderley et al (2008b) have already proved that an O-grid around a vibrating circular cylinder with 200 Â 200 nodes, using stretching parameter q η ¼ 1.020 in the radial direction, and body surface to external boundary distance of 120 diameters is adequate for the numerical modeling of the flow. For details about the grid effect test, refer to Wanderley et al (2008b).…”

“…In Wanderley et al (2008b), the numerical code was validated for VIV simulations by duplicating in accurate and reliable way the benchmarking experimental results obtained by Khalak and Williamson (1996). The same experimental setup was considered throughout the numerical simulation and also the same mass ratio of C μ ¼1.88, damping ratio of ξ¼5.42 Â 10 À 3 , and reduced velocity varying from 2 to 12, corresponding to Reynolds number variation from 2000 to 12,000.…”

“…The Reynolds stresses in the URANS equations are evaluated through the hypothesis of Boussinesq (1877) and the k-ε turbulence model of Chien (1982). In previous work, the numerical code was validated for VIV investigations with low mass ratio, Wanderley et al (2008b). Results were obtained by duplicating the flow conditions used in the experimental investigation carried out by Khalak and Williamson (1996).…”

A Two-Dimensional Numerical Investigation of the Hysteresis Effect on Vortex Induced Vibration on an Elastically Mounted Rigid Cylinder

“…Equation (1) is solved numerically together with the initial conditions (8), boundary conditions on the body surface (9), and freestream boundary conditions (10), where I is the turbulence intensity, _ y is the velocity of the cylinder in the y direction, and M 1 ¼ 0.2 for incompressible flows.…”

“…The 2S mode is associated with high amplitudes and is responsible for the high amplitudes found in the displacement amplitude curve. In Wanderley et al [8], the numerical results indicated that the transition from the 2S mode to the 2P mode of vortex shedding takes place exactly when the curve of power absorbed by the system changes declivity. For rising power absorption, the 2S mode is observed, and for falling power absorption, the 2P mode governs the vortex shedding.…”