Analytic study on long wave transformation over a seamount with a pit

OCEAN ENGINEERING

卷:154

Article

Wang, Gang^1,2  Fu, Danjuan^1,2  Zheng, Jinhai^1,2  Liang, Qiuhua^2,3  Zhang, Yao⁴ 

[1] Hohai Univ, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 210098, Jiangsu, Peoples R China

[2] Hohai Univ, Coll Harbour Coastal & Offshore Engn, Nanjing 210098, Jiangsu, Peoples R China

[3] Newcastle Univ, Sch Civil Engn & Geosci, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

[4] Natl Marine Hazard Mitigat Serv, Beijing 100194, Peoples R China

关键词: Long waves;    Analytic solution;    Wave motion;    Seamount with a pit;    Wave propagation;   

DOI  :  10.1016/j.oceaneng.2018.02.012

来源: Elsevier

【 摘 要 】

In this paper, an analytic solution is derived for linear long waves scattering over a submarine seamount landfonn with a pit. The seamount is axisymmetric with a pit on the top. The water depth is defined by a trinomial function in the radial direction. The governing linear shallow water equation for long waves is expressed in the polar coordination, which is solved through separation of variables. As the topography is axisymmetric, solutions can be written as Fourier-cosine series. Waves over the seamount are expressed using Frobenius series expansion, while the water surface elevation in the outer region is expressed as Fourier-Bessel series, and the final solution is obtained by matching them at the conjunction. The solution can be degenerated into the previous analytic solutions for waves propagation over an axisymmetric pit or a submerged hump by adjusting the topography parameters.

【 授权许可】

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