Second-order random wave solutions for interfacial internal waves in N-layer density-stratified fluid
文献类型：期刊论文
| 作者 | Chen, XG; Song, JB |
| 刊名 | CHINESE PHYSICS
 |
| 出版日期 | 2006-04-01 |
| 卷号 | 15期号:4页码:756-766 |
| 关键词 | N-layer density-stratified fluid interfacial internal waves second-order random wave solutions |
| 英文摘要 | This paper studies the random internal wave equations describing the density interface displacements and the velocity potentials of N-layer stratified fluid contained between two rigid walls at the top and bottom. The density interface displacements and the velocity potentials were solved to the second-order by an expansion approach used by Longuet-Higgins (1963) and Dean (1979) in the study of random surface waves and by Song (2004) in the study of second-order random wave solutions for internal waves in a two-layer fluid. The obtained results indicate that the first-order Solutions are a linear superposition of many wave components with different amplitudes, wave numbers and frequencies, and that the amplitudes of first-order wave components with the same wave numbers and frequencies between the adjacent density interfaces are modulated by each other. They also show that the second-order solutions consist of two parts: the first one is the first-order solutions, and the second one is the Solutions of the second-order asymptotic equations, which describe the second-order nonlinear modification and the second-order wave-wave interactions not only among the wave components on same density interfaces but also among the wave components between the adjacent density interfaces. Both the first-order and second-order solutions depend on the density and depth of each layer. It is also deduced that the results of the present work include those derived by Song (2004) for second-order random wave solutions for internal waves in a two-layer fluid as a particular case. |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000236720900016 |
| 源URL | [http://ir.qdio.ac.cn/handle/337002/32563]  |
| 专题 | 海洋研究所_海洋环流与波动重点实验室 |
| 作者单位 | 1.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China 2.Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, XG,Song, JB. Second-order random wave solutions for interfacial internal waves in N-layer density-stratified fluid[J]. CHINESE PHYSICS,2006,15(4):756-766. |
| APA | Chen, XG,&Song, JB.(2006).Second-order random wave solutions for interfacial internal waves in N-layer density-stratified fluid.CHINESE PHYSICS,15(4),756-766. |
| MLA | Chen, XG,et al."Second-order random wave solutions for interfacial internal waves in N-layer density-stratified fluid".CHINESE PHYSICS 15.4(2006):756-766. |
入库方式： OAI收割
来源：海洋研究所
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