| Interactions of nonlinear gravity waves and uniform current in Lagrangian system |
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| 作者姓名： | HSU Hung-Chu CHEN Yang-Yih LI Meng-Syue TSENG Wen-Jer |
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| 作者单位： | HSU Hung-Chu(Tainan Hydraulics laboratory, National Cheng Kung University, Tainan 701, Taiwan, China);CHEN Yang-Yih,LI Meng-Syue(Department of Marine Environment and Engineering, National Sun Yat-Sen University, Kaohsiung 804, Taiwan, China);TSENG Wen-Jer(Department of Civil Engineering, Cheng Shiu University, Kaohsiung 804, Taiwan, China)
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| 基金项目： | National Science Council in Taiwan 97-2221-E-230-023 |
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| 摘 要： | The particle trajectory on a weakly nonlinear progressive surface wave obliquely interacting with a uniform current is studied by using an EulerLagrange transformation. The thirdorder asymptotic solution is a periodic bounded function of Lagrangian labels and time, which imply that the entire solution is uniformlyvalid. The explicit 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 level 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 investigated.
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| 关 键 词： | 拉格朗日系统 相互作用 非线性重力波 粒子轨迹 弱非线性 有界函数 粒子运动 子位移 |
| 收稿时间： | 2007/3/25 0:00:00 |
| 修稿时间： | 2008/9/22 0:00:00 |
Interactions of nonlinear gravity waves and uniform current in Lagrangian system |
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| 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,2009,28(1):89-98. |
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| Authors: | HSU Hung-Chu CHEN Yang-Yih LI Meng-Syue and TSENG Wen-Jer |
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| Institution: | 1.Tainan Hydraulics Laboratory, National Cheng Kung University, Tainan 701, Taiwan, China2.Department of Marine Environment and Engineering, National Sun Yat-Sen University, Kaohsiung 804, Tai-wan, China |
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| Abstract: | The panicle 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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| Keywords: | Lagrangian particle trajectory nonlinear water wave current drift velocity |
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