Scattering of Oblique Water Waves by Two Unequal Surface-Piercing Vertical Thin Plates with Stepped Bottom Topography  

作　　者：WANG Li-xian DENG Zheng-zhi WANG Chen WANG Peng 

机构地区：[1]Key Laboratory of High Performance Ship Technology (Wuhan University of Technology),Ministry of Education [2]Departments of Naval Architecture,Ocean and Structural Engineering,School of Transportation,Wuhan University of Technology [3]Institute of Port,Coastal and Offshore Engineering,Ocean College,Zhejiang University

出　　处：《China Ocean Engineering》2018年第5期524-535,共12页中国海洋工程（英文版）

基　　金：financially supported by the National Natural Science Foundation of China(Grant No.11702244);the Project of the Cooperation of Zhoushan City and Zhejiang University(Grant No.2017C82223);the Open Foundation of Key Laboratory of Port,Waterway and Sedimentation Engineering of the Ministry of Transport(Grant No.Yn216006);the Fundamental Research Funds for the Central Universities(WUT:2017IVA009)

摘　　要：Based on linear water-wave theory, this study investigated the scattering of oblique incident water waves by two unequal surface-piercing thin vertical rigid plates with stepped bottom topography. By using the matched eigenfunction expansion method and a least square approach, the analytical solutions are sought for the established boundary value problem. The effects of the incidence angle, location of step, depth ratio of deep to shallow waters,and column width between two plates, on the reflection coefficients, the horizontal wave forces acting on the two plates, and the mean surface elevation between the two plates, are numerically examined under a variety of wave conditions. The results show that the existence of the stepped bottom between two plates considerably impacts the hydrodynamic performances of the present system. It is found that the effect of stepped bottom on the reflection coefficient of the present two-plate structure is evident only with waves of the low dimensionless frequency.Moreover, the influence of the step location on the hydrodynamic performance of the present two-plate structure is slight if the step is placed in between the two plates.Based on linear water-wave theory, this study investigated the scattering of oblique incident water waves by two unequal surface-piercing thin vertical rigid plates with stepped bottom topography. By using the matched eigenfunction expansion method and a least square approach, the analytical solutions are sought for the established boundary value problem. The effects of the incidence angle, location of step, depth ratio of deep to shallow waters,and column width between two plates, on the reflection coefficients, the horizontal wave forces acting on the two plates, and the mean surface elevation between the two plates, are numerically examined under a variety of wave conditions. The results show that the existence of the stepped bottom between two plates considerably impacts the hydrodynamic performances of the present system. It is found that the effect of stepped bottom on the reflection coefficient of the present two-plate structure is evident only with waves of the low dimensionless frequency.Moreover, the influence of the step location on the hydrodynamic performance of the present two-plate structure is slight if the step is placed in between the two plates.

关 键 词：stepped bottom topography two unequal thin vertical rigid plates oblique water waves reflection coefficient wave force 

分 类 号：P7[天文地球—海洋科学]