Scattering of periodic surface waves by pile-group supported platform
Scattering of periodic surface waves by pile-group supported platform
复制标题
群桩支撑平台对周期性面波的散射
DOI：
10.1016/j.oceaneng.2017.09.018
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发表时间：
2017-12
影响因子：
5
通讯作者：
Liu Hua
中科院分区：
文献类型：
--
作者：
Xiaoyu Guo;Benlong Wang;Mei Chiang C.;Liu Hua
提出了一种半解析方法来求解桩基支撑平台周围自由表面波的散射问题。在假定周期晶格构型和柱面间距与典型波长的强烈反差的情况下，利用齐次化的多尺度微扰理论，导出了控制宏观尺度波动动力学和微尺度单胞内流动边值问题的有效方程。宏观有效方程中的本构系数是由宏观压力梯度驱动的微观边值问题的解来计算的。流动分离由涡粘性模型处理，其中整体涡粘性是通过平衡时间平均耗散率和波浪力在整个平台区域积分的柱体上所做的功的速率来确定的。通过与波浪水槽中群桩支撑平台的室内试验对比，验证了所提出的半解析方法的有效性。此外，还研究了群桩支撑圆形平台的场尺度波散射问题。在长波情况下，群桩承台所受的最大垂直力可达无桩时的1.2倍。横向扭矩的最大增长出现在中波，在所讨论的参数下可达到40%。
A semi-analytical approach is proposed to solve the scattering of free surface waves around a platform supported by a pile array. Assuming periodic lattice configuration and strong contrast between cylinder spacing and typical wavelength, the multi-scale perturbation theory of homogenization is employed to derive the effective equations governing the macro-scale wave dynamics and the boundary-value problem of micro-scale flows within a unit cell. The constitutive coefficient in the macro-scale effective equations are computed from the solution of the micro-scale boundary-value problem, which is driven by the macro-scale pressure gradient. Flow separation is treated by the eddy viscosity model where the bulk eddy viscosity is determined by balancing the time-averaged rate of dissipation and the rate of work done by wave forces on the cylinders integrated over the entire platform region. The proposed semi-analytical approach is validated by comparisons with laboratory experiments for a pile-group supported platform in a wave flume. In addition field-scale wave scattering by a pile-group supported circular platform is investigated. For long waves, the maximum vertical force exerted on pile-group supported platform may reach 1.2 times of the value without piles. The maximum increase of the torque in transverse direction occurs for intermediate waves, which may reach 40% for the parameters discussed.
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