Partially reflected waves in water of finite depth

Meng Syue Li, Hung Chu Hsu, Yang Yih Chen, Qingping Zou

研究成果: Article同行評審


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.

期刊Nonlinear Analysis: Real World Applications
出版狀態Published - 2021 6月

All Science Journal Classification (ASJC) codes

  • 分析
  • 工程 (全部)
  • 經濟學、計量經濟學和金融學 (全部)
  • 計算數學
  • 應用數學


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