Nonlinear water waves propagating on a sloping bottom in Lagrangian coordinates

Yang Yih Chen, Meng-Syue Li, Hung Chu Hsu, Kuei Sen Yang

研究成果: Conference contribution

3 引文 斯高帕斯(Scopus)

摘要

A new asymptotic solution describing nonlinear water wave propagation on the surface of a uniform sloping bottom is derived in the Lagrangian coordinates. We use the two-parameter perturbation method to develop a new mathematical derivation. The particle trajectories, wave pressure and Lagrangian velocity potential are obtained as a function of the nonlinear ordering parameter ε and the bottom slope α perturbed to second order. The analytical solution in Lagrangian form satisfies the zero pressure at the free surface. The condition of the conservation of mass flux is examined in detail for the first time. Then, the solution is used to estimate the mean return current for waves progressing over the sloping bottom. The Lagrangian solution enables the description of the features of wave shoaling in the direction of wave propagation from deep to shallow water, as well as the process of successive deformation of a wave profile and water particle trajectories leading to breaking. The nonlinear analytical solution is verified by reducing to the Lagrangian second-order solution of progressive waves in both the limit of deep water and of constant water.

原文English
主出版物標題The Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE
頁面1049-1056
頁數8
出版狀態Published - 2009 十二月 1
對外發佈Yes
事件19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE - Osaka, Japan
持續時間: 2009 六月 212009 六月 26

出版系列

名字Proceedings of the International Offshore and Polar Engineering Conference
ISSN(列印)1098-6189
ISSN(電子)1555-1792

Other

Other19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE
國家Japan
城市Osaka
期間09-06-2109-06-26

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Ocean Engineering
  • Mechanical Engineering

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