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<p>Scattering problems in wave motion, including structures, are difficult to solve because of the complicated nature of wave behavior and interactions inside complex geometries. This study investigates the scattering of surface water waves by a finite dock positioned above two rectangular shelves and a combined shelf-trench configuration, each characterized by irregular bottom topography. The Boundary Element Method is used for the analysis since it is particularly effective for handling intricate geometric domains. The primary objective is to investigate wave propagation characteristics and measure the reflection and transmission coefficients at the interfaces of shelves and trenches across various configurations. A dock over a single-shelf and single-trench system is also analyzed to further understand the effect of bottom irregularities. Both symmetric and asymmetric cases are examined, with detailed assessments of how the ratios of shelf height and dock length affect scattering behavior. Numerical results indicate that wave reflection and transmission are significantly influenced by these physical parameters, providing enhanced understanding of the interactions between multi-step bathymetry and surface-piercing structures. The accuracy of the findings is further supported through verification with the energy balance equation. Overall, the results provide practical value for coastal engineering, especially when it comes to designing and improving docks, breakwaters, and wave-modifying structures that reduce wave forces and make the nearshore areas safer.</p>

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Wave dynamics and diffraction effects induced by a dock over twin shelves

  • 期刊论文

  • 发表日期：

    2026年2月3日

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  • Asha Maria Martin,
  • A. Choudhary

摘要

Scattering problems in wave motion, including structures, are difficult to solve because of the complicated nature of wave behavior and interactions inside complex geometries. This study investigates the scattering of surface water waves by a finite dock positioned above two rectangular shelves and a combined shelf-trench configuration, each characterized by irregular bottom topography. The Boundary Element Method is used for the analysis since it is particularly effective for handling intricate geometric domains. The primary objective is to investigate wave propagation characteristics and measure the reflection and transmission coefficients at the interfaces of shelves and trenches across various configurations. A dock over a single-shelf and single-trench system is also analyzed to further understand the effect of bottom irregularities. Both symmetric and asymmetric cases are examined, with detailed assessments of how the ratios of shelf height and dock length affect scattering behavior. Numerical results indicate that wave reflection and transmission are significantly influenced by these physical parameters, providing enhanced understanding of the interactions between multi-step bathymetry and surface-piercing structures. The accuracy of the findings is further supported through verification with the energy balance equation. Overall, the results provide practical value for coastal engineering, especially when it comes to designing and improving docks, breakwaters, and wave-modifying structures that reduce wave forces and make the nearshore areas safer.