Three-dimensional numerical simulations of a single smooth cylinder supported by linear spring system are carried out by the fluid-structure interaction (FSI) solver naoe-FOAM-SJTU using Delayed Detached- Eddy Simulation (DDES). The cylinder can only vibrate in the direction perpendicular to the incoming flow. The Reynolds number 3 × 103Re ≤ 1.5 × 104 falls in the flow regimes TrSL2 and reduced-velocity range is 3 ≤ U* ≤ 15. It is found that the FSI solver can well capture the vortex-induced vibration (VIV) response of cylinder in this range of Reynolds number. The upper branch appears as 4.2 < U* < 6.5 and reaching the maximum non-dimensional amplitude of 0.86. It is found that the vibration of the upper branch is extremely unstable, and the three-dimensional flow is stronger at this time. The 2S and 2P vortex shedding modes coexist along the cylinder span at U* = 6.2, which resulted in sharp changes of the pressure along with the cylinder axial direction.

INTRODUCTION

Due to the importance of Flow-induced vibration (FIV) in a wide range of engineering applications such as high-rise buildings, cables, and ships, a great deal of research has been devoted to studying and understanding FIV over the past few decades. The collapse of the Tacoma Narrows Bridge in 1940 caused the scientific community to begin a systematic study of FIV. Vortex-induced vibration (VIV), as one of the most important phenomena of FIV, caused by the vortex shedding flow alternately generated on both sides of the structure, such as placing a cylinder in flow will cause the cylinder to VIV. When the oscillation frequency of the cylinder matches the frequency of the periodic wake vortex shedding (Khalak and Williamson, 1999), it will cause resonance, which is called the synchronization range (lock-in). The lock-in of VIV may cause a catastrophic failure of the structure. Comprehensive reviews of VIV can be found in many publications such as Bearman, 2011; Gabbai and Benaroya, 2005; Jauvtis and Williamson, 2004; Williamson and Govardhan, 2008.

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