Three–dimensional URANS numerical flow simulations of a fixed circular cylinder subject to vortex–induced vibration were performed to assess the capability of the SST k–ω and DES turbulence models. Simulations with the DES turbulence model correlated more closely to experimental measurements than simulations with the SST k–ω model. However, neither space nor the time step sizes were thought to be fine enough for an accurate DES based prediction of this flow. Nevertheless, the results with the DES model were consistent and compared favorably to those documented in the literature as they captured the alternating shedding frequencies, which were not predicted with the SST k–ω model. Residual levels were affected neither by the variation of the different grid and time step sizes nor by the turbulence models. Residuals were acceptable for URANS simulations of the flow around the cylinder.


The problem of Vortex–Induced Vibration (VIV) of a circular cylinder has fascinated researchers for decades. It is relevant for a wide range of industrial structures, such as tall chimneys, offshore platforms, wind turbines, and oil risers. The interaction between cylinder oscillation and vortex shedding is a classical fluid–structure interaction phenomenon because the shed vortices induce unsteady fluid forces, which cause the structure to vibrate, and these motions, in turn, affect the wake and the vortex–induced forces. Vortex–Induced Vibration is found to be dependant on many parameters associated with both the flow characteristic and structure mechanical properties. For a brief treatise on a comprehensive review of VIV, recourse is sought to an excellent paper by (Bearman 1984), (Sumer and Fredsoe 2006), (Zdravkovich 1996), and (Williamson and Govardhan 2004).

Numerical simulations are useful to study VIV as they provide a simultaneous image of the wake patterns and the magnitude of fluid forces and body responses, allowing a coupled analysis of the system’s fluid–structure interaction phenomenon. However, numerically or experimentally simulate VIV under conditions encountered in nature remains challenging. Recent studies have shown that advanced numerical methods and improved computational resources made it possible to investigate VIV in turbulent regimes (Gsell et al. 2016).

This content is only available via PDF.
You can access this article if you purchase or spend a download.