| One-dimensional numerical models of higher-order Boussinesq equations with high dispersion accuracy |
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| 作者姓名： | Zou Zhili Wang Tao Zhang Xiaoli Darren Spratt |
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| 作者单位： | Civil and |
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| 基金项目： | The project was supported by the National Natural Science Foundation of China under contracts No.59979002 and No.59839330. |
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| 摘 要： | Abstract-Nonlinear water wave propagation passing a submerged shelf is studied experimentally andnumerically. The applicability of the wave propagation model of higher-order Boussinesq equations de-rived by Zou(2000, Ocean Engneering, 27, 557～575) is investigated. Physical experiments areconducted; three different front slopes (1:10, 1:5 and 1:2) of the shelf are set-up in the experimentand their effects on the wave propagation are investigated. Comparisons of the numerical results withtest data are made and the higher-order Boussinesq equations agree well with the measurements since thedispersion of the model is of high accuracy. The numerical results show that the good results can also beobtained for the steep-slope cases although the mild-slope assumption is employed in the derivation of thehigher-order terms in the higher-order Boussinesq equations.
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| 关 键 词： | Water waves Boussinesq nonlinear dispersion |
| 收稿时间： | 2002/4/12 0:00:00 |
| 修稿时间： | 2002/8/20 0:00:00 |
One-dimensional numerical models of higher-order Boussinesq equations with high dispersion accuracy |
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| Zou Zhili,Wang Tao,Zhang Xiaoli,Darren Spratt.One-dimensional numerical models of higher-order Boussinesq equations with high dispersion accuracy[J].Acta Oceanologica Sinica,2003,22(2):287-299. |
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| Authors: | Zou Zhili Wang Tao Zhang Xiaoli and Darren Spratt |
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| Institution: | 1.State Key Laboratory of Coastal and Offshore Engineering, Department of Civil Engineering, Dalian University of Technology, Dalian 116024, China2.Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Champaign, USA |
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| Abstract: | Nonlinear water wave propagation passing a submerged shelf is studied experimentally and numerically. The applicability of the wave propagation model of higher-order Boussinesq equations derived by Zou (2000, Ocean Engineering, 27, 557 - 575) is investigated. Physical experiments are conducted; three different front slopes (1:10, 1 = 5 and 1:2) of the shelf are set-up in the experiment and their effects on the wave propagation are investigated. Comparisons of the numerical results with test data are made and the higher-order Boussinesq equations agree well with the measurements since the dispersion of the model is of high accuracy. The numerical results show that the good results can also be obtained for the steep-slope cases although the mild-slope assumption is employed in the derivation of the higher-order terms in the higher-order Boussinesq equations. |
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| Keywords: | Water waves Boussinesq nonlinear dispersion |
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