Wave field analysis in a harbor with irregular geometry through boundary integral of Helmholtz equation with corner contributions
Wave field analysis in a harbor with irregular geometry through boundary integral of Helmholtz equation with corner contributions
复制标题
基于角点贡献亥姆霍兹方程边界积分的不规则几何港口波场分析
DOI：
10.1016/j.compfluid.2013.09.020
复制
发表时间：
2013-12
影响因子：
2.8
通讯作者：
张怀
中科院分区：
文献类型：
--
作者：
张怀
设计了一个数学模型来分析港口的波浪特征，避免因季节性天气条件而可能出现的偶发极端波浪灾害。在小振幅假设的基础上，考虑了亥姆霍兹方程的适当边界条件。此外，格林恒等式给出了亥姆霍兹方程的解，然后用它来预测浅水波背景下由于各种方向入射波的折射和绕射而引起的海洋表面波场。首先确定港口边界上每个角段的角角系数，然后通过将角角系数乘以边界波场来施加边界上的角角贡献。进一步，对港口边界进行切比雪夫点离散化，以提高尖角处的数值精度。该数值模型通过与现有文献研究的定量比较得到验证。此外，所提出的数值方案也实现了对数收敛率。我们已经在韩国浦项的浦项新港（PNH）实际应用了这个数值模型，以计算各种方向入射波的共振模式。此外，在与特定入射波的各种共振模式下，在港口的整个内部区域中获得了波高程。总之，该数值方案是促进复杂几何形状的港口边界和内部海洋表面波场预测的有效工具。
A mathematical model has been designed to analyze the wave characteristics in a harbor, averting any possible situation of occasional extreme wave hazards due to the seasonal weather conditions. Helmholtz equation has been considered with appropriate boundary conditions on the basis of small amplitude hypothesis. Further, a solution of the Helmholtz equation is given by Green’s identity formula and then it is utilized to predict the ocean surface wave fields due to refraction and diffraction of various directional incident waves in the context of the shallow water waves. The corner angle coefficient is firstly determined at each corner segment on the boundary of the harbor and then corner contribution on the boundary is imposed by multiplying the corner angle coefficient to the boundary wave field. Further, the Chebyshev point discretization is implemented on the boundary of harbor to improve the numerical accuracy at the sharp corners. This numerical model is validated through the quantitative comparison with existing studies in literature. Further the logarithmic convergence rate is achieved for the proposed numerical scheme as well. We have implemented this numerical model practically on the Pohang New Harbor (PNH), Pohang, South Korea to compute the resonance modes for various directional incident waves. Furthermore, the wave elevation is obtained in the whole interior domain of the harbor at various modes of resonance with specific incident waves. In conclusion, this numerical scheme is a competent tool to foster the prediction of the ocean surface wave field on the boundary and interior of the harbors with complex geometries.
登录
查看更多内容
影响因子：
3.7
作者：
L. Hwang;E. Tuck
通讯作者：
L. Hwang;E. Tuck
影响因子：
5
作者：
H. Lee;Sung Duk Kim;Keh-Han Wang;Si-Yul Eom
通讯作者：
H. Lee;Sung Duk Kim;Keh-Han Wang;Si-Yul Eom
DOI：
--
发表时间：
2005
期刊：
--
影响因子：
--
作者：
Mei;M. Stiassnie;D. Yue
通讯作者：
Mei;M. Stiassnie;D. Yue
影响因子：
2.2
作者：
H. Lee;Sung Duk Kim
通讯作者：
H. Lee;Sung Duk Kim
DOI：
10.9753/icce.v15.203
发表时间：
1976-01
期刊：
--
影响因子：
--
作者：
F. Raichlen;E. Naheer
通讯作者：
F. Raichlen;E. Naheer