| HSU Hung-Chu,CHEN Yang-Yih,LI Meng-Syue,TSENG Wen-Jer.Interactions of nonlinear gravity waves and uniform current in Lagrangian system[J].Acta Oceanologica Sinica,2009,(1):89-98 |
| Interactions of nonlinear gravity waves and uniform current in Lagrangian system |
| Interactions of nonlinear gravity waves and uniform current in Lagrangian system |
| 投稿时间：2007-03-25 修订日期：2008-09-22 |
| DOI： |
| 中文关键词: Lagrangian particle trajectory nonlinear water wave current drift velocity |
| 英文关键词:Lagrangian particle trajectory nonlinear water wave current drift velocity |
| 基金项目:National Science Council in Taiwan 97-2221-E-230-023 |
| 作者 | 单位 | E-mail | | HSU Hung-Chu | Tainan Hydraulics Laboratory, National Cheng Kung University, Tainan 701, Taiwan, China | hchsu@thl.ncku.edu.tw | | CHEN Yang-Yih | Department of Marine Environment and Engineering, National Sun Yat-Sen University, Kaohsiung 804, Tai-wan, China | | | LI Meng-Syue | Department of Marine Environment and Engineering, National Sun Yat-Sen University, Kaohsiung 804, Tai-wan, China | | | TSENG Wen-Jer | | |
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| 中文摘要: |
| The particle trajectory on a weakly nonlinear progressive surface wave obliquely interacting with a uniform cur-rent is studied by using an Euler-Lagrange transformation. The third-order asymptotic solution is a periodic bounded function of Lagrangian labels and time, which imply that the entire solution is uniformly-valid. The ex-plicit parametric solution highlights the trajectory of a water particle and mass transport associated with a particle displacement can now be obtained directly in Lagrangian form. The angular frequency and Lagrangian mean lev-el of the particle motion in Lagrangian form differ from those of the Eulerian. The variations in the water particle orbits resulting from the oblique interaction with a steady uniform current of different magnitudes are also investi-gated. |
| 英文摘要: |
| The particle trajectory on a weakly nonlinear progressive surface wave obliquely interacting with a uniform cur-rent is studied by using an Euler-Lagrange transformation. The third-order asymptotic solution is a periodic bounded function of Lagrangian labels and time, which imply that the entire solution is uniformly-valid. The ex-plicit parametric solution highlights the trajectory of a water particle and mass transport associated with a particle displacement can now be obtained directly in Lagrangian form. The angular frequency and Lagrangian mean lev-el of the particle motion in Lagrangian form differ from those of the Eulerian. The variations in the water particle orbits resulting from the oblique interaction with a steady uniform current of different magnitudes are also investi-gated. |
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