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

Abstract

The hysteresis effect on the vortex induced vibration (VIV) on a circular cylinder is investigated by the numerical solution of the two-dimensional Reynolds averaged NavierStokes equations. An upwind and total variation diminishing (TVD) conservative scheme is used to solve the governing equations written in curvilinear coordinates and the k-e turbulence model is used to simulate the turbulent flow in the wake of the body. The cylinder is supported by a spring and a damper and free to vibrate in the transverse direction. In previous work, numerical results for the amplitude of oscillation and vortex shedding frequency were compared to experimental data obtained from the literature to validate the code for VIV simulations. In the present work, results of practical interest are presented for the power absorbed by the system, phase angle, amplitude, frequency, and lift coefficient. The numerical results indicate that the hysteresis effect is observed only when the frequency of vortex shedding gets closer to the natural frequency of the structure in air.

Numerical evaluation of passive control of VIV by small control rods

“…(4) and (5)) with the initial conditions are solved simultaneously with the RANS equations (Eqs. (1) and (2)) to compute the velocity (ẋ,ẏ) (to impose the noslip condition on the body surface), and the position (x, y) of the cylinder (to place the body at its new position to regenerate the grid) [47]. The dynamic mesh method is used to perform mesh deformation based on the motion of the boundaries and perform any needed adaptation of the mesh [48].…”

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

“…For the rising of power absorption, the 2S mode is observed, and for the falling of power absorption, the 2P mode governs the vortex shedding. Wanderley et al (2011) studied the hysteresis effect on vortexinduced vibration on a circular cylinder by the numerical solutions of the unsteady Reynolds-Averaged Navier-Stokes equations. The Governing equations were solved using an upwind and total variation diminishing conservative scheme and the k-ε turbulence model.…”

Research on Bifurcation Response for Vortex-Induced Vibration of Top Tension Riser in Shear Flow

“…e present experimental and finite element analysis methods can measure and calculate the response characteristics of risers at specific flow velocity. And Wanderley and Navrose have found some bistable behaviors and bifurcation phenomenon of cylinder in experiments and CFD simulations [26,27]. However, it is difficult to investigate the continuous change of VIV steady-state response of the riser in larger flow velocity ranges.…”