| 三层流体系统非线性界面内波传播理论的研究 |
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| 引用本文： | 温文媖,陈小刚,宋金宝.三层流体系统非线性界面内波传播理论的研究[J].海洋学报,2010,32(10):7149-7157. |
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| 作者姓名： | 温文媖 陈小刚 宋金宝 |
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| 作者单位： | 内蒙古工业大学理学院, 呼和浩特 010051;内蒙古工业大学理学院, 呼和浩特 010051;中国科学院海洋研究所, 青岛 266071 |
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| 基金项目： | 内蒙古人才基金(批准号: 2009)、内蒙古高等学校科学研究基金(批准号: NJ09066)、中国科学院海洋环流与波动重点实验室开放研究基金(批准号: KLOCAW0805)、中国科学院知识创新工程重大项目(批准号: KZCX1-YW-12)和国家自然科学基金青年科学基金(批准号: 40806008)资助的课题. |
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| 摘 要： | 基于波陡很小的假设, 利用摄动法, 讨论了任意深度的二维不可压缩、无黏性、无旋的三层流体系统. 在刚性上边界、平底不可渗透条件下, 给出了界面内波传播的统一理论以及描述其波剖面的近似非线性演化方程(NEEs). 最后讨论了几种特殊情形下的近似NEEs.结果表明文献导出的理论结果为本文的特殊情形.
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| 关 键 词： | 非线性演化方程 摄动法 三层流体系统 统一理论 |
The theory of nonlinear interfacial-internal wavepropagation in three-layer fluid systems |
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| Wen Wen-Ying,Chen Xiao-Gang and Song Jin-Bao.The theory of nonlinear interfacial-internal wavepropagation in three-layer fluid systems[J].Acta Oceanologica Sinica (in Chinese),2010,32(10):7149-7157. |
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| Authors: | Wen Wen-Ying Chen Xiao-Gang and Song Jin-Bao |
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| Institution: | College of Science, Inner Mongolia University of Technology, Hohhot 010051, China;College of Science, Inner Mongolia University of Technology, Hohhot 010051, China;Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China |
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| Abstract: | Based on the small steepness parameter assumption, the three-layer incompressible, inviscid and irrotational fluid system of arbitrary depth is discussed by using the perturbation method, and a unified theory of nonlinear interfacial-internal wave propagation and the approximate nonlinear evolution equations (NEEs) for interfacial-internal elevations are given on the basis of the rigid upper boundary and the flat impermeable bottom. At last we also discuss on NEEs arising from various limiting cases of fluid depth. It is also noted that the theories obtained from the present work include the theoretical results derived by Yoshimasa Matsuno (1993) as special cases. |
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| Keywords: | nonlinear evolution equations(NEEs) perturbation method three-layer fluid systems unified theory |
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