Solitary-wave loads on a three-dimensional submerged horizontal plate: Numerical computations and comparison with experiments

Tian Geng,Frederic Dias,Hua Liu

doi:10.1063/5.0043912

Tian Geng, Frederic Dias + Show 1 more

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https://doi.org/10.1063/5.0043912

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Abstract

A parallelized three-dimensional (3D) boundary element method is used to simulate the interaction between an incoming solitary wave and a 3D submerged horizontal plate under the assumption of potential flow. The numerical setup follows closely the setup of laboratory experiments recently performed at Shanghai Jiao Tong University. The numerical results are compared with the experimental results. An overall good agreement is found for the two-dimensional wave elevation, the horizontal force and the vertical force exerted on the plate, and the pitching moment. Even though there are some discrepancies, the comparison shows that a model solving the fully nonlinear potential flow equations with a free surface using a 3D boundary element method can satisfactorily capture the main features of the interaction between nonlinear waves and a submerged horizontal plate.

Highlights

Submerged horizontal plates are common coastal engineering structures that are used for several purposes
A parallelized three-dimensional (3D) boundary element method is used to simulate the interaction between an incoming solitary wave and a 3D submerged horizontal plate under the assumption of potential flow
Even though there are some discrepancies, the comparison shows that a model solving the fully nonlinear potential flow equations with a free surface using a 3D boundary element method can satisfactorily capture the main features of the interaction between nonlinear waves and a submerged horizontal plate

Summary

Introduction

Submerged horizontal plates are common coastal engineering structures that are used for several purposes. When located close to or at the mean water surface, they can act as effective breakwaters for offshore wave control and harbor protection as discussed by Yu.. Turbines can be put under the plate (Graw and Carter3) to convert wave energy. A lot of other coastal structures, such as bridges, docks and very large floating structures, can be modeled as submerged plates in order to study the effects of storm surges, tsunamis, and other extreme wave events. Periodic wave scattering by submerged plates has been widely studied. Siew and Hurley provided first-order reflection and transmission coefficients for the scattering of long waves by a submerged plate. The effects of various parameters such as the ratio of plate length to wavelength and the submergence depth were investigated as well

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