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首页> 外文期刊>Journal of engineering mathematics >Oblique wave interaction with porous, flexible barriers in a two-layer fluid
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Oblique wave interaction with porous, flexible barriers in a two-layer fluid

机译：斜波与两层流体中的多孔柔性屏障相互作用

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Oblique wave scattering by multiple porous, flexible barriers is studied in a two-layer fluid in both the cases of surface-piercing and bottom-standing partial barriers in water of finite depth. The mathematical problem is handled for a solution using a generalized orthogonal relation suitable for a two-layer fluid along with the least square approximation method for single and double barriers. Various characteristics of the eigensystem, including convergence of the eigenfunction expansions for the velocity potentials associated with surface gravity waves in two-layer fluid, are derived. Wave scattering by multiple barriers is studied using a wide-spacing approximation method and compared with the solution obtained through the least square approximation method in the case of double barriers. The effectiveness of the barrier system on wave scattering is analyzed in different cases by analyzing the scattering coefficients in surface and internal modes, surface and interface wave elevations, deflection of the flexible barriers under wave action, and wave loads on the barriers. It is observed that multiple zeros in wave reflections occur for waves in surface and internal modes for various values of nondimensional barrier spacing and an oblique angle of incidence. Further, the condition for Bragg resonance is derived in the case of multiple barriers in a two-layer fluid. In the case of wave scattering by double barriers, for certain combinations of barrier spacing and porous-effect parameter, optimum wave forces are exerted for the same angle of incidence. The findings of the present study are likely to play a significant role in the protection of marine facilities from wave action.
机译：在有限深度的水中，在两层流体中，无论是表面穿刺还是底部竖立的部分屏障，都研究了多层多孔柔性屏障对斜波的散射。使用适合于两层流体的广义正交关系以及用于单和双势垒的最小二乘逼近方法来解决该数学问题。导出了本征系统的各种特征，包括与两层流体中的表面重力波相关的速度势的本征函数展开的收敛。使用宽间距近似方法研究了多个壁垒的波散射，并在双壁垒的情况下，将其与通过最小二乘近似法获得的解进行了比较。通过分析表面和内部模态的散射系数，表面和界面波高程，在波浪作用下挠性屏障的挠度以及屏障上的波浪载荷，分析了屏障系统在不同情况下对波散射的有效性。可以观察到，对于各种无量纲势垒间距和倾斜入射角的值，表面和内部模式的波在波反射中会出现多个零。此外，在两层流体中有多个势垒的情况下，得出布拉格共振的条件。在通过双重势垒进行波散射的情况下，对于势垒间距和多孔效应参数的某些组合，对于相同的入射角会施加最佳波力。本研究的发现可能在保护海洋设施免受波浪作用中起重要作用。

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