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首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >Effects of flexible bed on oblique wave interaction with multiple surface-piercing porous barriers
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Effects of flexible bed on oblique wave interaction with multiple surface-piercing porous barriers

机译：柔性床对多表面刺穿多孔屏障斜波相互作用的影响

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摘要

Within the framework of linearised theory of water waves, a model of oblique wave scattering by obstacles in the form of thin multiple surface-piercing porous barriers having non-uniform porosity is analysed. Herein, we consider a flexible base in an ocean of uniform finite depth. The flexible base surface is modelled as a thin elastic plate under the acceptance of Euler-Bernoulli beam equation. With the aid of eigenfunction expansion method along with mode-coupling relations, four Fredholm-type integral equations are obtained from the boundary value problem. The multi-term Galerkin approximations in terms of Chebychev polynomials multiplied by suitable weight functions are used for solving those integral equations. Analytic solutions for different hydrodynamic quantities (viz. reflection coefficients, transmission coefficients, dissipated wave energy and non-dimensional wave force) are determined, and those quantities are displayed graphically for various values of the dimensionless parameters. It is observed from the graphical representations that the permeability of the barriers and thickness of the bottom surface play a crucial role in modelling of efficient breakwaters.
机译：在水波线性化理论的框架内，分析了具有非均匀孔隙率的薄多表面穿透多孔障碍物对斜波的散射模型。这里，我们考虑在均匀有限深度的海洋中的柔性基底。根据欧拉-伯努利梁方程，将柔性基底表面建模为弹性薄板。借助于本征函数展开法和模式耦合关系，从边值问题得到了四个Fredholm型积分方程。用切比雪夫多项式乘以适当的权函数的多项伽辽金近似来求解这些积分方程。确定了不同水动力量（即反射系数、透射系数、耗散波能量和无量纲波浪力）的解析解，并以图形方式显示了无量纲参数的各种值。从图示中可以看出，屏障的渗透性和底面厚度在高效防波堤的建模中起着至关重要的作用。

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