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Abstract
The purpose of the work presented in this paper is to study the reflection and transmission coefficients resulting from the interactions of regular waves with a rectangular breakwater sited at the bottom of a tank. The present investigation is devoted to the analysis of the reflection and transmission coefficients within the framework of linearized potential flow theory using two methods, a numerical method based on the improved version of the meshless singular boundary method, and the analytical approach within the plane wave model. The numerical method is first validated by studying the accuracy of the numerical computations with respect to the number of boundary nodes and the location of the vertical boundaries of the computational domain, for different immersion ratios (h/d) and different relative lengths (w/d) of the obstacle. To assess the limitations of the analytical approach, a comparison analysis is carried out between the analytical and numerical results. To improve the calculations and the effectiveness of the analytical model, slight adjustments are made to the analytical procedure, which is termed here the corrected analytical plane wave model. Finally, the effects of the immersion ratio (h/d) and the relative length (w/d) of the obstacle on the reflection and transmission coefficients are computed using the three methods, and discussed for several wave and structural conditions.
Highlights
The coast is a site where several phenomena can appear and affect coastal structures, such as sea-level rise caused by climate change, erosion due to wave actions, and the decrease of fluvial sediment supply caused by the construction of dams, etc
In this paper, the capabilities of the improved version of the meshless singular boundary method (ISBM) [13,14,15] to analyze the reflection and transmission coefficients resulting from the interactions of regular waves with a rectangular breakwater sited at the bottom of a tank
The reflection and transmission coefficients during the interactions of regular wave-rectangular breakwater cited at the bottom are studied using the ISBM approach, the analytical approach within the plane wave model (Appendix A), and the corrected plane wave model
Summary
The coast is a site where several phenomena can appear and affect coastal structures, such as sea-level rise caused by climate change, erosion due to wave actions, and the decrease of fluvial sediment supply caused by the construction of dams, etc. Researchers, engineers, and scientists have shown that the reflection of swell is one of the convincing and relevant solutions to overcome problems of erosion, surges, marine submersions, and all phenomena to which these structures can be exposed. The maximization of wave reflection has become extremely important in coastal engineering, and arouses the interest of many researchers in the literature to investigate the numerical, experimental, and theoretical methods that can study the reflection of wave–structure interactions. Dean [1] studied the effect of the wave amplitudes on the reflection of surface waves by a submerged plane barrier. Takano [2] evaluated the passage effect of waves propagating under a rectangular breakwater. Patarapanich [3] studied the wave reflection and transmission by a submerged thin horizontal plate using the finite element method (FEM). Using the matched asymptotic method, Liu and Jiankng [4]
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