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首页> 外文期刊>Ocean Engineering >Effects of vertical porous barrier on progressive waves in a two layered fluid
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Effects of vertical porous barrier on progressive waves in a two layered fluid

机译：垂直多孔屏障对两层流体中渐进波的影响

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Two dimensional scattering of linear water wave by thin vertical permeable plate in a two-layer fluid with free surface is considered. The permeable barrier is completely submerged in the upper layer of finite depth over a layer whose depth is either infinite or finite. For discontinuity in the potential across the plate, we use Green's integral theorem to formulate the problem in terms of a hypersingular integral equation. A collocation method using a finite series of Chebyshev polynomials of second kind have been introduced to get the unknown difference potential numerically. The reflection and transmission coefficients for surface and internal modes are computed as an integral involving difference potentials. The proportion of reflected and transmitted energies of both the wavenumbers are calculated. Moreover, amount of energy dissipated due to the presence of permeable plate in the upper layer are obtained. Numerical results are calculated and depicted graphically against the wavenumber for various non-dimensionalized parameters.
机译：考虑了薄的垂直渗透板在具有自由表面的两层流体中对线性水波的二维散射。渗透性屏障完全浸没在有限深度的上层中，该上层深度为无限或有限。对于整个极板上电位的不连续性，我们使用格林积分定理以超奇异积分方程来表示问题。引入了一种使用第二类Chebyshev多项式有限序列的搭配方法，以数值方式获得未知的差势。表面和内部模式的反射系数和透射系数被计算为涉及差电位的积分。计算两个波数的反射和透射能量的比例。而且，获得由于在上层中存在可渗透板而耗散的能量的量。针对各种未量纲化的参数，计算得出的数值结果与波数相对应地用图形表示。

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