Higher-order Boussinesq-type equations for interfacial waves in a two-fluid system
文献类型：期刊论文
| 作者 | Yang Hongli1,2,3; Yang Liangui1; Song Jinbao2,3; Hou Yijun2,3 |
| 刊名 | ACTA OCEANOLOGICA SINICA
 |
| 出版日期 | 2009 |
| 卷号 | 28期号:4页码:118-124 |
| 关键词 | Two-layer Fluid Interfacial Waves Boussinesq-type Equations Enhanced Equations Fully Nonlinear |
| ISSN号 | 0253-505X |
| 文献子类 | Article |
| 英文摘要 | Interfacial waves propagating along the interface between a three-dimensional two-fluid system with a rigid upper boundary and an uneven bottom are considered. There is a light fluid layer overlying a heavier one in the system, and a small density difference exists between the two layers. A set of higher-order Boussinesq-type equations in terms of the depth-averaged velocities accounting for stronger nonlinearity are derived. When the small parameter measuring frequency dispersion keeping up to lower-order and full nonlinearity are considered, the equations include the Choi and Camassa's results (1999). The enhanced equations in terms of the depth-averaged velocities are obtained by applying the enhancement technique introduced by Madsen et al. (1991) and Schaffer and Madsen (1995a). It is noted that the equations derived from the present study include, as special cases, those obtained by Madsen and Schaffer (1998). By comparison with the dispersion relation of the linear Stokes waves, we found that the dispersion relation is more improved than Choi and Camassa's (1999) results, and the applicable scope of water depth is deeper.; Interfacial waves propagating along the interface between a three-dimensional two-fluid system with a rigid upper boundary and an uneven bottom are considered. There is a light fluid layer overlying a heavier one in the system, and a small density difference exists between the two layers. A set of higher-order Boussinesq-type equations in terms of the depth-averaged velocities accounting for stronger nonlinearity are derived. When the small parameter measuring frequency dispersion keeping up to lower-order and full nonlinearity are considered, the equations include the Choi and Camassa's results (1999). The enhanced equations in terms of the depth-averaged velocities are obtained by applying the enhancement technique introduced by Madsen et al. (1991) and Schaffer and Madsen (1995a). It is noted that the equations derived from the present study include, as special cases, those obtained by Madsen and Schaffer (1998). By comparison with the dispersion relation of the linear Stokes waves, we found that the dispersion relation is more improved than Choi and Camassa's (1999) results, and the applicable scope of water depth is deeper. |
| 学科主题 | Oceanography |
| 语种 | 英语 |
| WOS记录号 | WOS:000271078100015 |
| 公开日期 | 2010-12-22 |
| 源URL | [http://ir.qdio.ac.cn/handle/337002/2417]  |
| 专题 | 海洋研究所_海洋环流与波动重点实验室 |
| 作者单位 | 1.Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China 2.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China 3.Chinese Acad Sci, Key Lab Ocean Circulat & Waves, Qingdao 266071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang Hongli,Yang Liangui,Song Jinbao,et al. Higher-order Boussinesq-type equations for interfacial waves in a two-fluid system[J]. ACTA OCEANOLOGICA SINICA,2009,28(4):118-124. |
| APA | Yang Hongli,Yang Liangui,Song Jinbao,&Hou Yijun.(2009).Higher-order Boussinesq-type equations for interfacial waves in a two-fluid system.ACTA OCEANOLOGICA SINICA,28(4),118-124. |
| MLA | Yang Hongli,et al."Higher-order Boussinesq-type equations for interfacial waves in a two-fluid system".ACTA OCEANOLOGICA SINICA 28.4(2009):118-124. |
入库方式： OAI收割
来源：海洋研究所
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