Long-Wave Scattering by a Vertical Cylinder with Idealized Scour Pit
Long-Wave Scattering by a Vertical Cylinder with Idealized Scour Pit
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DOI：
10.1061/(asce)ww.1943-5460.0000094
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发表时间：
2011-11
期刊：
影响因子：
--
通讯作者：
X. Niu;Xiping Yu
中科院分区：
文献类型：
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作者：
X. Niu;Xiping Yu
在新推导的缓坡波动方程解析解的基础上，对长波绕带冲刷坑的垂直圆柱体的组合衍射和折射进行了分析研究。圆柱体周围冲刷坑的几何形状理想化为轴对称，并采用简单的幂函数来表示其径向轮廓。该问题在极坐标系中通过分离变量的方式求解，由此得到的冲矿坑径向常微分方程可转化为实数阶贝塞尔方程。在获得的解析解的基础上，通过比较有冲刷坑和无冲刷坑的情况，研究了冲刷坑对波散射的影响。冲刷坑有助于减少波浪对气缸的爬升。此外，当冲刷坑尺寸较大或入射波相对较短时，冲刷坑对波向圆柱体爬升的影响更为显着。
The combined diffraction and refraction of long waves around a vertical cylinder with scour pit is studied analytically on the basis of a newly derived analytic solution of the mild-slope wave equation. The geometry of the scour pit around the cylinder is idealized to be axisymmetrical, and a simple power function is employed to represent its radial profile. The problem is solved in the polar coordinate system by separation of variables, and the resulting ordinary differential equation in the radial direction over the scour pit in this case can be transformed into the Bessel equation of real order. On the basis of the analytic solution obtained, the effect of the scour pit on wave scattering is investigated by comparing the cases with and without the presence of the scour pit. The scour pit contributes to reduce the wave run-up against the cylinder. In addition, the effects of the scour pit on wave run-up against the cylinder are more significant when the dimensions of the scour pit are larger or the incident wave is relatively shorter.