基于SST k-ω湍流模型的二维圆柱涡激振动数值仿真计算

Numerical simulation of vortex-induced vibration of a two-dimensional circular cylinder based on the SST k-ω turbulent model

随着海洋工程逐渐向深海发展,广泛使用的柔性立管因为高频振动很容易受到严重的损伤。因此对于这类细长柔性结构的涡激振动(VIV)研究是当今的一个热点,同时随着计算机的快速发展,CFD(计算流体力学)技术成为研究涡激振动问题不可或缺的一种方法。本文采用雷诺平均纳维尔-斯托克斯(RANS)方程,并结合SST k-ω湍流模型,研究低质量比弹性支撑刚性圆柱体的涡激振动问题。从振幅响应、频率响应、3个响应分支的水动力性能、尾涡模式等方面和Williamson相关实验作对比。结果表明,SST k-ω湍流模型能够有效准确地模拟圆柱绕流的涡激振动。本文丰富了海洋工程的理论研究,为柔性立管的实际应用提供了一定的理论指导。

Due to the great damage to widely utilized flexible structures in ocean engineering,vortexinduced vibration（ VIV） of such long flexible marine structures is still a hot issue that needs more theoretical research,and CFD techniques become gradually indispensable to study the VIV problem. In this paper,two-dimensional Reynolds-averaged Navier-Stokes（ RANS） equations are adopted to investigate transverse VIV of elastically mounted rigid cylinder with low mass-damping,and SST k-ω turbulent model is applied to solve the RANS equations. By comparing the cylinder displacement response,frequency response,vortex shedding modes of three different response branches,and other hydrodynamic coefficients with the previous research in detail,the numerical results indicate that SST k-ω model is invalid and accurate for VIV of the elastically mounted rigid cylinder. This investigation provides theoretical evidence for the numerical simulation of VIV of marine riser in engineering application.