| HSU Hung-Chu,CHEN Yang-Yih,LI Meng-Syue,TSENG Wen-Jer. 2009. Interactions of nonlinear gravity waves and uniform current in Lagrangian system. Acta Oceanologica Sinica, (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 |
| Received:March 25, 2007 Revised:September 22, 2008 |
| DOI： |
| Key words:Lagrangian particle trajectory nonlinear water wave current drift velocity |
| 中文关键词: Lagrangian particle trajectory nonlinear water wave current drift velocity |
| 基金项目:National Science Council in Taiwan 97-2221-E-230-023 |
| Author Name | Affiliation | 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 | | |
|
| Hits: 890 |
| Download times: 666 |
| Abstract: |
| 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. |
| 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. |
|
HTML
View Full Text
View/Add Comment Download reader |
| Close |
