ABSTRACT

The problem of oblique water wave diffraction by three asymmetrically arranged vertical porous barriers with different widths in infinitely deep water is investigated. Reflection and transmission coefficients are evaluated, applying single-term Galerkin approximation. The amount of energy loss is derived employing Green's integral theorem. Wave force is determined using the linear Bernoulli equation of dynamic pressure jump, on the porous barriers. Forces and energy of the wave are studied to understand the effect of the dissipation of wave energy due to the presence porous barriers. Numerical results for the reflection coefficient, wave force, and wave energy dissipation are analysed graphically. The comparison of the numerical results are carried out for the validity of the derived solution. It is observed that porosity affects significantly on reflection coefficient and amount of energy dissipation. It is also found that more energy is dissipated if the permeability of the barriers is increased.

摘要

研究了无限深水中三个不对称排列的不同宽度垂直多孔屏障的斜向水波衍射问题。使用单项 Galerkin 近似评估反射和透射系数。能量损失量是使用格林积分定理得出的。波浪力是在多孔屏障上使用动态压力跳跃的线性伯努利方程确定的。研究波浪的力和能量，以了解由于存在多孔屏障而导致的波浪能量耗散的影响。以图形方式分析反射系数、波浪力和波浪能量耗散的数值结果。对数值结果进行了比较，以验证所导出解的有效性。据观察，孔隙率显着影响反射系数和能量耗散量。还发现如果屏障的渗透性增加，则耗散更多的能量。