基于格子Boltzmann粒子网格技术，采用XFlow求解器对三角分布的海洋立管进行涡激振动数值模拟。运用二阶范德波尔方程描述二维圆柱横向单自由度涡激振动，研究了三圆柱间距比及来流约化速度对圆柱涡激振动特性的影响，圆柱间距比取L/D = 0.5、2.0、4.0，来流约化速度为Ur = 1～9。分析了圆柱涡激振动的振幅、升阻力系数特性及圆柱尾流中旋涡脱落模式。结果表明：圆柱间距比为L/D = 0.5、2.0、4.0时对应的上游圆柱涡激振动的锁振区间分别为Ur = 3.5~7、3.5~7.5、3.5~6，最大振幅分别为Yrms/D = 0.372, 0.546, 0.47。间距比过大或过小时，其流体流动模式分别受接近效应和尾流效应的影响，中间间距比时，在非锁振区间内，其流体流动模式受两者组合效应的共同影响，在锁振区间，其流体流动模式同大间距比一样主要受尾流效应的影响。流体干涉效应的变化对圆柱升阻力系数的变化起着重要的作用，不同间距比，圆柱升阻力系数的变化趋势相似。
Abstract
Numerical simulation for vortex-induced vibration (VIV) of marine risers with triangular distribution was performed using XFlow solver based on the lattice Boltzmann particle grid technique. Transverse single-DOF VIV of a 2-D cylinder was described using the second order van der Pol equation, and effects of 3 cylinders’ spacing ratio and incoming flow reduction speed on VIV features of cylinders were studied. The cylinders’ spacing ratio L/D = 0.5, 2.0 and 4.0, and the incoming flow reduction speed Ur = 1-9. VIV amplitude of cylinders, features of lift-drag coefficient and vortex shedding mode in wake of cylinders were analyzed. The results showed that when cylinder spacing ratio L/D = 0.5, 2.0, and 4.0, upstream cylinder VIV’s locking vibration interval Ur = 3.5-7.0, 3.5-7.5 and 3.5-6.0, respectively, the maximum amplitude Yrms/D = 0.372, 0.546 and 0.470, respectively; when cylinder spacing ratio is too big or too small, fluid flow mode is affected by proximity effect and wake effect, respectively; with medium spacing ratio, within a non-locking vibration interval, fluid flow mode is affected by combination of above two effects; within a locking vibration interval, fluid flow mode is mainly affected by wake effect; change of fluid interference effect significantly affects change of cylinder lift-drag coefficient; with different spacing ratios, change trends of cylinder lift-drag coefficient are similar.
关键词
海洋立管 /
涡激振动 /
流固耦合 /
三角分布
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Key words
marine riser /
vortex-induced vibration /
fluid-structure coupling /
triangular distribution
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