Wave Response to a Non-uniform Porous Vertical Plate  

不均匀多孔垂直板的波浪响应

作　　者：Shreya Banerjee Dibakar Mondal Sudeshna Banerjea 

机构地区：[1]Department of Mathematics,Jadavpur University,Kolkata 700032,India [2]Department of Mathematics,Government General Degree College at Kalna-I,Muragacha,Medgachi,PurbaBurdwan 713405,India

出　　处：《哈尔滨工程大学学报(英文版)》2024年第4期867-876,共10页Journal of Marine Science and Application

基　　金：partially supported by SVMCM scholarship No.WBP211645525952 by Government of West Bengal,India,through Shreya Banerjee.

摘　　要：This paper is concerned with a study of wave propagation due to scattering of an obliquely incident wave by a porous vertical plate with nonuniform porosity which is completely submerged in water of finite depth.The problem is formulated in terms of a Fredholm integral equation of the second kind in difference in potential across the barrier.The integral equation is then solved using two methods:the boundary element method and the collocation method.The reflection coefficients,transmission coefficient,and amount of energy dissipation are evaluated using the solution of the integral equation.It is observed that non-uniform porosity of a barrier has significant effect on the reflection of waves and energy dissipation compared to a barrier with uniform porosity.The dissipation of the wave energy by a non-uniform porous barrier can be enhanced and can be made larger than that of a barrier with uniform porosity,by suitable choice of non-uniform porosity distribution in the barrier.This has an important bearing on reducing the wave power and thereby protecting the shore line from coastal erosion.Also,an obliquely incident wave reduces reflection and dissipation while increasing transmission of wave energy as compared to a normally incident wave.

关 键 词：Vertical plate Oblique incidence Finite depth Non-uniform porosity Reflection coefficient Transmission coefficient Energy dissipation 

分 类 号：O17[理学—数学]