中国物理B ›› 2009, Vol. 18 ›› Issue (5): 1906-1916.doi: 10.1088/1674-1056/18/5/031

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Third-order Stokes wave solutions for interfacial internalwaves in three-layer dendity-stratified fluid

赫晓东1, 郭军明2, 包曙红2, 崔巍2, 陈小刚3, 郭志萍4, 宋金宝5   

  1. (1)Chemical Engineering College, Inner Mongolia University of Technology, Hohhot 010051, China; (2)College of Science, Inner Mongolia University of Technology, Hohhot 010051, China; (3)College of Science, Inner Mongolia University of Technology, Hohhot 010051, China;Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China; (4)College of Science, Inner Mongolia University of Technology, Hohhot 010051, China;Teaching Department of Basic Sciences, Shanxi Water Technical Prof
  • 收稿日期:2008-08-18 修回日期:2008-10-31 出版日期:2009-05-20 发布日期:2009-05-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Inner Mongolia, China (Grant No 200711020116), and Open Fund of the Key Laboratory of Ocean Circulation and Waves, Chinese Academy of Sciences (Grant No KLOCAW0805), and the Key Program of the Scienti

Third-order Stokes wave solutions for interfacial internal waves in a three-layer dendity-stratified fluid

Chen Xiao-Gang(陈小刚)a)b)†, Guo Zhi-Ping(郭志萍)a)c), Song Jin-Bao(宋金宝)b), He Xiao-Dong(赫晓东)d), Guo Jun-Ming(郭军明)a), Bao Shu-Hong(包曙红)a), and Cui Wei(崔巍)a)   

  1. a College of Science, Inner Mongolia University of Technology, Hohhot 010051, China; b Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China; c Teaching Department of Basic Sciences, Shanxi Water Technical Professional College, Shanxi 044004, China; d Chemical Engineering College, Inner Mongolia University of Technology, Hohhot 010051, China
  • Received:2008-08-18 Revised:2008-10-31 Online:2009-05-20 Published:2009-05-20
  • Supported by:
    Project supported by the Natural Science Foundation of Inner Mongolia, China (Grant No 200711020116), and Open Fund of the Key Laboratory of Ocean Circulation and Waves, Chinese Academy of Sciences (Grant No KLOCAW0805), and the Key Program of the Scienti

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摘要： Interfacial internal waves in a three-layer density-stratified fluid are investigated using a singular perturbation method, and third-order asymptotic solutions of the velocity potentials and third-order Stokes wave solutions of the associated elevations of the interfacial waves are presented based on the small amplitude wave theory. As expected, the third-order solutions describe the third-order nonlinear modification and the third-order nonlinear interactions between the interfacial waves. The wave velocity depends on not only the wave number and the depth of each layer but also on the wave amplitude.

关键词: three-layer density-stratified fluid, interfacial internal waves, third-order Stokes wave solutions, small amplitude wave theory

Abstract: Interfacial internal waves in a three-layer density-stratified fluid are investigated using a singular perturbation method, and third-order asymptotic solutions of the velocity potentials and third-order Stokes wave solutions of the associated elevations of the interfacial waves are presented based on the small amplitude wave theory. As expected, the third-order solutions describe the third-order nonlinear modification and the third-order nonlinear interactions between the interfacial waves. The wave velocity depends on not only the wave number and the depth of each layer but also on the wave amplitude.

Key words: three-layer density-stratified fluid, interfacial internal waves, third-order Stokes wave solutions, small amplitude wave theory

中图分类号:  (Stratified flows)

  • 47.55.Hd
47.35.-i (Hydrodynamic waves)