Analytical solution for waves propagating over a local permeable seabed

Ni Yunlin; Teng Bin

doi:10.12284/hyxb2021131

Volume 43 Issue 10

Oct. 2021

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Ni Yunlin，Teng Bin. Analytical solution for waves propagating over a local permeable seabed[J]. Haiyang Xuebao，2021, 43(10)：90–96 doi: 10.12284/hyxb2021131

Citation:

Ni Yunlin，Teng Bin. Analytical solution for waves propagating over a local permeable seabed[J]. Haiyang Xuebao，2021, 43(10)：90–96 doi: 10.12284/hyxb2021131

Citation:

Ni Yunlin，Teng Bin. Analytical solution for waves propagating over a local permeable seabed[J]. Haiyang Xuebao，2021, 43(10)：90–96 doi: 10.12284/hyxb2021131

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Analytical solution for waves propagating over a local permeable seabed

doi: 10.12284/hyxb2021131

Ni Yunlin^{1, 2
,},
Teng Bin^{1
,
,}

1.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
2.
School of Marine Engineering Equipment, Zhejiang Ocean University, Zhoushan 316022, China

Received Date: 2020-05-19
Rev Recd Date: 2021-01-21

Available Online: 2021-07-05

Publish Date: 2021-10-30

Abstract

Abstract

The present study is concerned with the analytical solution for waves propagating over a local permeable seabed and wave reflection and transmission by the local permeable seabed. The computational domain is decomposed into four subdomains of which the middle subdomain is permeable, with the porous seabed beneath it, and the left and right subdomains are impermeable. Applying the linear wave theory, the velocity potential of each fluid subdomain is set up, including the effect of evanescent mode, and the pressure inside the porous seabed is given. The unknowns are solved by the continuous conditions at the interfaces between the neighboring subdomains. The effect of permeability coefficient, water depth and length of permeable seabed on wave transformation is discussed. The results indicate the wave height attenuates increasingly with the increase of permeability coefficient, the length of permeable seabed, and decrease of water depth. Wave reflection and transmission will occur due to the local permeable seabed. The reflection coefficient oscillates, and tends to be constant eventually, while the transmission coefficient reduces exponentially, and tends to be zero with the increase in the length of permeable seabed.
- local permeable seabed,
- evanescent mode,
- complex wavenumber,
- reflection coefficient,
- transmission coefficient

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References(19)

References

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