A mathematical model is presented to predict the wave spectrum in a complex geometry harbor domain due to the diffraction of multidirectional random waves propagating through entrance of the harbor from the open sea. An accurate description of the harbor geometry, bathymetry and an incident wave spectrum are required. The solution of Helmholtz equation in the bounded and unbounded region is obtained by 2-D boundary integral method with the consideration of partial reflection and corner point approximation. Moreover, the Chebyshev point discretization is applied on boundary of the harbor to improve the accuracy of the numerical scheme. The principle of superposition is adopted to simulate the directional random waves based on the solution of monochromatic incident waves. The form of Mitsuyasu's frequency spectrum was utilized for the random wave simulation. The wave spectra for multidirectional random waves are analyzed at various recorder stations in the Pohang New Harbor (PNH). Comparison of simulation results with in situ measurement data recorded at various recorder observatories in the PNH demonstrates the feasibility and accuracy of our proposed method. After this study, we analyzed the wave height distribution in the whole PNH domain. Based on the simulation results, some tactic has been introduced to reduce the wave amplitude in the PNH. Our primary results confirm that present numerical model is accurate and flexible to implement on various real harbors to predict the multidirectional random wave diffraction.
Bibliographical noteFunding Information:
This research work is supported by National Basic Research Program of China under Grant No. 2014CB845906 , the National Science Foundation of China under Grant No. 41274103 . And it also partially supported by Department of Mathematics, POSTECH and BK-21 (Brain Korea-21), South Korea. The international collaboration is supported by the CAS/CAFEA international partnership Program for creative research teams (No. KZZD-EW-TZ-19 ). The authors are mostly grateful for reviewers to improve our manuscript.
- Chebyshev point discretization
- Corner point approximation
- Pohang new harbor
- Random waves
- Resonance frequency
- Wave spectra