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Surface effects of internal wave generated by a moving source in a two-layer fluid of finite depth

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Abstract

Based on the potential flow theory of water waves, the interaction mechanism between the free-surface and internal waves generated by a moving point source in the lower layer of a two-layer fluid was studied. By virtue of the method of Green's function, the properties of the divergence field at the free surface were obtained, which plays an important role in the SAR (Synthetic Aperture Radar) image. It is shown that the coupling interaction between the surface-wave mode and internal-wave mode must be taken into account for the cases of large density difference between two layers, the source approaching to the pynocline and the total Froude number Fr close to the critical number Fr2. The theoretical analysis is qualitatively consistent with the experimental results presented by Ma Hui-yang.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072, Shanghai, P. R. China

    Wei Gang, Le Jia-Chun & Dai Shi-qiang

  2. Institute of Science, University of Science and Technology, PLA, 211101, Nanjing, P. R. China

    Wei Gang

Authors
  1. Wei Gang
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  2. Le Jia-Chun
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  3. Dai Shi-qiang
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Additional information

Contributed by Dupai Shi-qiang

Foundation items: the Predict Research Foundation of National Defence (51443030103QT0601); the Doctoral Point Fund of the Shanghai Education Commission

Biography: Wupei Gang (1962∼), Associate Professor, Doctor (E-mail: gwei@mail.shu.edu.cn)

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Gang, W., Jia-Chun, L. & Shi-qiang, D. Surface effects of internal wave generated by a moving source in a two-layer fluid of finite depth. Appl Math Mech 24, 1025–1040 (2003). https://doi.org/10.1007/BF02437635

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  • DOI: https://doi.org/10.1007/BF02437635

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2000 Mathematics Subject Classification

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