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Evolution of slowly modulated wave train on porous sea bed

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Abstract

In this paper, the problem of evolution of slowly modulated wave train on porous sea bed is investigated with the method of multiple scales. For the sea water in the upper region. the classical potential theory is used while the fluid motion in the porous sea bed is described by Darcy's law. The equations of the first and second order modulations of wave amplitude are derived by using matching conditions on the sea bed. The corresponding solutions are found and seepage pressures are also given at the same time.

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References

  1. Mei, C. C., TheApplied Dynamics of Ocean Surface Waves, John Wiley and Sons (1983).

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  5. Tang Ling, Seepage forces on marine structures,Proc. of 2nd youth Mechanics Conference of China (1988). (in Chinese)

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Authors and Affiliations

  1. Shanghai University of Technology, Shanghai

    Tang Ling

  2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

    Tang Ling

  3. Shanghai Jiaotong University, Shanghai

    Liu Ying-zhong

Authors
  1. Tang Ling
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  2. Liu Ying-zhong
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Communicated by Dai Shi-qiang

The Project Supported by NSFC.

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Ling, T., Ying-zhong, L. Evolution of slowly modulated wave train on porous sea bed. Appl Math Mech 11, 79–87 (1990). https://doi.org/10.1007/BF02014574

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  • DOI: https://doi.org/10.1007/BF02014574

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