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| 波-流相互作用的缓坡方程及其波作用量守恒 | |
| 引用本文： | 黄虎. 波-流相互作用的缓坡方程及其波作用量守恒[J]. 力学学报, 2005, 37(5): 627-631 |
| 作者姓名： | 黄虎 |
| 作者单位： | 上海大学上海市应用数学和力学研究所,上海,200072;中国科学院力学研究所非线性力学国家重点实验室,北京,100080 |
| 基金项目： | 全国优秀博士学位论文作者专项资金（200428）,国家自然科学基金（10272072,50424913）,上海市重点学科建设项目（Y0103）和中国科学院力学研究所LNM国家重点实验室开放课题基金资助项目. |
| 摘 要： | 当表面波从开阔海域传播至近岸水域时，普遍的波一流相互作用经受着海底的强烈影响．运用水波Hamilton变分原理，建立了近岸水域任意水深变化海底上波一流相互作用的缓坡方程．它可包含波、流和水深一般变化的二阶效应，约化为某些典型的缓坡型方程．据此得出广义程函方程，并且证明该缓坡方程的波作用量守恒． |
| 关 键 词： | 波-流相互作用 缓坡方程 二阶效应 波作用量守恒 程函方程 |
| 文章编号： | 0459-1879（2005）05-0627-05 |
| 收稿时间： | 2003-09-01 |
| 修稿时间： | 2005-05-13 |
A MILD-SLOPE EQUATION AND ITS WAVE ACTION CONSERVATION FOR WAVE-CURRENT INTERACTIONS |
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| Huang Hu. A MILD-SLOPE EQUATION AND ITS WAVE ACTION CONSERVATION FOR WAVE-CURRENT INTERACTIONS[J]. chinese journal of theoretical and applied mechanics, 2005, 37(5): 627-631 | |
| Authors: | Huang Hu |
| Affiliation: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | When surface waves propagate from the open sea to the coastal waters, the ubiquitous wavecurrent interactions are affected strongly by bottom topography. Using Hamiltonian variational principle for water waves, a mild-slope equation for wave-current interactions over arbitrary depth in the near shore region is developed, including the second-order effects arising from a general changes of waves, currents and depths, reducing to some typical mild-slope type equations and leading to a generalized eikonal equation. It is shown that the wave action conservation holds for the mild-slope equation. |
| Keywords: | wave-current interactions mild-slope equation second-order effects wave action conservation the eikonal equation |
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