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Partially reflected waves in water of finite depth
Nonlinear Analysis: Real World Applications ( IF 2 ) Pub Date : 2020-12-05 , DOI: 10.1016/j.nonrwa.2020.103272
Meng-Syue Li , Hung-Chu Hsu , Yang-Yih Chen , Qingping Zou

This paper presents a second-order asymptotic solution in the Lagrangian description for nonlinear partial standing wave in the finite water depth. The asymptotic solution that is uniformly valid satisfies the irrotationality condition and zero pressure at the free surface. In the Lagrangian approximation, the explicit nonlinear parametric equations for the particle trajectories are obtained. In particular, the Lagrangian mean level of a particle motion for the partial standing wave is found as a part of the solution which is different from that in an Eulerian system. This solution enables the description of wave profile and particle trajectory, which can be progressive, standing or partial standing waves. The dynamic properties of nonlinear partial standing waves, including mass transport velocity, radiation stress, wave setup and pressure due to reflection are also investigated.



中文翻译:

有限深度的水中的部分反射波

本文针对有限水深中的非线性局部驻波,在拉格朗日描述中给出了二阶渐近解。一致有效的渐近解满足非旋转条件和自由表面的零压力。在拉格朗日逼近中,获得了粒子轨迹的显式非线性参数方程。特别地,发现部分驻波的粒子运动的拉格朗日平均水平是解决方案的一部分,与欧拉系统的解决方案不同。该解决方案可以描述波轮廓和质点轨迹,可以是渐进波,驻波或部分驻波。非线性局部驻波的动力学特性,包括质量传输速度,辐射应力,

更新日期:2020-12-05
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