In the present study, one of the cross-disciplinary problems known as
vortex-induced vibration is numerically investigated. Effects of four
different low mass-damping ratios; ζ=0.013, 0.028, 0.074 and 0.124 of
a smooth cylinder are taken into account for transition of shear layer 2
(TrSL2) type flow that falls between the Reynolds numbers from 2500 to
10830 utilizing a two-dimensional cylinder that is free to move in
normal-direction. Unsteady Reynolds-Averaged Navier-Stokes solutions
indicate that the general trend is well captured with the adopted shear
stress transport k-omega turbulence model, however, due to twodimensional limitations some results are not consistent with
experimental data. An inverse relation between the mass-damping ratio
and the transition from the upper to the lower branch is detected.
Change of drag and lift coefficients with the reduced velocities revealed
that the maximum drag coefficient increases with reduced velocity until
it reaches Ur=5 and then decreases dramatically while the lift
coefficients decrease consistently from the beginning.