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Propagation of a solitary wave over rigid porous beds

机译：孤波在刚性多孔床上的传播

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摘要

The unsteady two-dimensional Navier-Stokes equations and Navier-Stokes type model equations for porous flows were solved numerically to simulate the propagation of a solitary wave over porous beds. The free surface boundary conditions and the interfacial boundary conditions between the water region and the porous bed are in complete form. The incoming waves were generated using a piston type wavemaker set up in the computational domain. Accuracy of the numerical model was verified by comparing the numerical results with the theoretical solutions. The main characteristics of the flow fields in both the water region and the porous bed were discussed by specifying the velocity fields. Behaviors of boundary layer flows in both fluid and porous bed regions were also revealed. Effects of different parameters on the wave height attenuation were studied and discussed. The results of this numerical model indicate that for the investigated incident wave as the ratio of the porous bed depth to the fluid depth exceeds 10, any further increase of the porous bed depth has no effect on wave height attenuation.
机译：数值求解了多孔渗流的非定常二维Navier-Stokes方程和Navier-Stokes型模型方程，以模拟孤立波在多孔层上的传播。水区域和多孔床之间的自由表面边界条件和界面边界条件是完整的形式。传入的波是使用在计算域中设置的活塞式波发生器生成的。通过将数值结果与理论解进行比较，验证了数值模型的准确性。通过指定速度场，讨论了水区域和多孔床中流场的主要特征。还揭示了在流化床和多孔床区域中边界层流动的行为。研究和讨论了不同参数对波高衰减的影响。该数值模型的结果表明，对于所研究的入射波，当多孔床深度与流体深度之比超过10时，多孔床深度的任何进一步增加都不会影响波高衰减。

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