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China Ocean Engineering

, Volume 32, Issue 5, pp 524–535 | Cite as

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

  • Li-xian Wang
  • Zheng-zhi Deng
  • Chen Wang
  • Peng Wang
Article

Abstract

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.

Key words

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

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Copyright information

© Chinese Ocean Engineering Society and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Li-xian Wang
    • 1
    • 2
  • Zheng-zhi Deng
    • 3
  • Chen Wang
    • 3
  • Peng Wang
    • 3
  1. 1.Key Laboratory of High Performance Ship Technology (Wuhan University of Technology)Ministry of EducationWuhanChina
  2. 2.Departments of Naval Architecture, Ocean and Structural Engineering, School of TransportationWuhan University of TechnologyWuhanChina
  3. 3.Institute of Port, Coastal and Offshore Engineering, Ocean CollegeZhejiang UniversityZhoushanChina

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