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Zou Zhili,Wang Tao,Zhang Xiaoli,Darren Spratt. 2003. One-dimensional numerical models of higher-order Boussinesq equations with high dispersion accuracy. Acta Oceanologica Sinica, (2):287-299
One-dimensional numerical models of higher-order Boussinesq equations with high dispersion accuracy
One-dimensional numerical models of higher-order Boussinesq equations with high dispersion accuracy
Received:April 12, 2002  Revised:August 20, 2002
DOI:
Key words:Water waves  Boussinesq  nonlinear  dispersion
中文关键词:  Water waves  Boussinesq  nonlinear  dispersion
基金项目:
Author NameAffiliation
Zou Zhili State Key Laboratory of Coastal and Offshore Engineering, Department of Civil Engineering, Dalian University of Technology, Dalian 116024, China 
Wang Tao State Key Laboratory of Coastal and Offshore Engineering, Department of Civil Engineering, Dalian University of Technology, Dalian 116024, China 
Zhang Xiaoli State Key Laboratory of Coastal and Offshore Engineering, Department of Civil Engineering, Dalian University of Technology, Dalian 116024, China 
Darren Spratt 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.
中文摘要:
      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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