| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Simulating regular wave propagation over a submerged bar by boundary element method model and Boussinesq equation model |
| Li Shuang (李爽)a b, He Hai-Lun (何海伦)c |
a Department of Ocean Science and Engineering, Zhejiang University, Hangzhou 310058, China;
b Key Laboratory of Ocean Circulation and Waves, Chinese Academy of Sciences, Qingdao 266071, China;
c State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, SOA, Hangzhou 310012, China |
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Abstract Numerical models based on boundary element method and Boussinesq equation are used to simulate the wave transform over a submerged bar for the regular waves. In the boundary-element-method model the linear element is used, and the integrals are computed by analytical formulas. The Boussinesq-equation model is the well-known FUNWAVE from the University of Delaware. We compare the numerical free surface displacements with the laboratory data on both gentle slope and steep slope, and find that both the two models simulate the wave transform well. We further compute the agreement indexes between the numerical result and laboratory data, and the results support that the boundary-element-method model has a stable good performance, which is due to the fact that its government equation has no restriction on nonlinearity and dispersion as compared with Boussinesq equation.
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Received: 11 June 2012
Revised: 23 July 2012
Accepted manuscript online:
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PACS:
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47.11.-j
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(Computational methods in fluid dynamics)
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47.11.Hj
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(Boundary element methods)
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47.15.km
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(Potential flows)
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47.35.Bb
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(Gravity waves)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 41106019 and 41176016); the Knowledge Innovation Programs of the Chinese Academy of Sciences (Grant No. kzcx2-yw-201); the Public Science and Technology Research Funds Projects of Ocean (Grant No. 201105018); and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2012315). |
Corresponding Authors:
He Hai-Lun
E-mail: hehailun@sio.org.cn
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Cite this article:
Li Shuang (李爽), He Hai-Lun (何海伦) Simulating regular wave propagation over a submerged bar by boundary element method model and Boussinesq equation model 2013 Chin. Phys. B 22 024701
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