Numerical Investigation on Vortex Induced Motions of a Tension Leg Platform With Circular Columns

Pen Zhi, Xinshu Zhang
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Abstract

Vortex Induced Motion (VIM) of multi-column floating platforms, such as Tension Leg Platform (TLP) and semi-submersible (SEMI), in current is well-acknowledged. Substantial VIM response of the multi-column floating platform may cause fatigue failure of mooring and riser systems, which can affect the normal operation of the platform. The present paper focuses on the numerical investigation on VIM of a TLP with circular columns using Computational Fluid Dynamics (CFD). Sensitivity analyses (e.g., mesh size, the number of prism layers and time-step size) for the VIM responses of the TLP are conducted. The effects of the current heading and mooring stiffness on the VIM are investigated. The three degrees of freedom VIM responses (in-line, transverse and yaw responses) and corresponding amplitude spectra are computed and analyzed. Motion trajectories are plotted to understand the VIM behaviors. Regarding the effect of the current heading, the largest transverse response is examined at 15° current heading and the corresponding maximum nominal amplitude is around 0.43. The difference of the maximum nominal amplitudes between the cases at 0° and 15° current headings is less than 5%. For 15°, 30° and 45° current headings, the nominal transverse amplitudes decrease as the current heading increases in the lock-in range. For the four studied current headings, the maximum width of the lock-in range is found at 0° current heading and narrows as the current incidence increases. The largest yaw response is observed at 0° current heading and the maximum nominal amplitude is around 9.1°. Regarding the effect of the mooring stiffness, the lock-in ranges and the maximum nominal amplitudes of the transverse motions have little difference for the four mooring stiffnesses. The maximum nominal transverse and yaw responses are around 0.25 and 5.1°, respectively, which occur when the mooring stiffness reaches the maximum. The flow pattern analyses indicate that the flow interference between the upstream and downstream columns may have significant effects on the VIM responses and a stronger interference at the present spacing ratio may lead to a larger VIM response. The contours of the vertical vorticity in the horizontal plane show that the mean positions of the flow separation points are always on highest or lowest (in the transverse direction perpendicular to the current heading) points of the columns, which is the reason that the VIM trajectories for the TLP with circular columns are always along the direction perpendicular to the current heading.
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圆柱张力腿平台涡激运动数值研究
张力腿平台(TLP)和半潜式平台(SEMI)等多柱浮式平台的涡致运动(VIM)是目前公认的问题。多柱浮式平台较大的VIM响应可能导致系泊系统和隔水管系统的疲劳失效,影响平台的正常运行。本文采用计算流体力学(CFD)方法对带圆柱的张力腿平台的VIM进行了数值研究。对TLP的VIM响应进行了灵敏度分析(如网格尺寸、棱镜层数和时间步长)。研究了当前航向和系泊刚度对VIM的影响。计算并分析了三自由度VIM响应(直线响应、横向响应和偏航响应)及其幅值谱。绘制运动轨迹以了解VIM行为。对于当前航向的影响,在15°的当前航向下,横向响应最大,相应的最大标称幅度约为0.43。在0°和15°电流航向下,两种情况的最大标称振幅的差异小于5%。对于15°、30°和45°航向,标称横向振幅随着航向在锁定范围内的增加而减小。对于所研究的四种海流航向,锁定范围的最大宽度出现在0°海流航向,并随着海流发生率的增加而变窄。最大的偏航响应是在0°当前航向下观察到的,最大标称幅度约为9.1°。对于系泊刚度的影响,四种系泊刚度的横向运动锁定范围和最大标称幅值差异不大。当系泊刚度达到最大值时,最大标称横向和偏航响应分别约为0.25°和5.1°。流型分析表明,上游和下游柱间的流动干涉对VIM响应有显著影响,在当前间距比下,越强的干涉会导致VIM响应越大。垂直涡度在水平面上的等高线表明,流动分离点的平均位置总是在柱的最高点或最低点(垂直于当前航向的横向方向),这就是圆形柱支撑平台的VIM轨迹总是沿着垂直于当前航向的方向的原因。
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