A Boussinesq Model With Improved Nonlinearity and Dispersion

ZHANG Dian-xin; TAO Jian-hua

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(7): 813-824

ZHANG Dian-xin, TAO Jian-hua. A Boussinesq Model With Improved Nonlinearity and Dispersion[J]. Applied Mathematics and Mechanics, 2008, 29(7): 813-824.

Citation:

ZHANG Dian-xin, TAO Jian-hua. A Boussinesq Model With Improved Nonlinearity and Dispersion[J]. Applied Mathematics and Mechanics, 2008, 29(7): 813-824.

Citation:

ZHANG Dian-xin, TAO Jian-hua. A Boussinesq Model With Improved Nonlinearity and Dispersion[J]. Applied Mathematics and Mechanics, 2008, 29(7): 813-824.

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A Boussinesq Model With Improved Nonlinearity and Dispersion

Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China

Received Date: 2008-03-19
Rev Recd Date: 2008-05-15
Publish Date: 2008-07-15

Abstract

Abstract

A new form of Boussinesq model over uneven bottom is derived.In the new model,the nonlinearity is improved without increasing the orders of the highest derivative of the differential equations.The dispersion relationship of the model was improved to the order of Pad (2,2)by adjusting a parameter in the model based on the long wave approximation.The analysis of the linear dispersion, linear shoaling and nonlinearity of the present model shows that the nonlinearity,dispersion and shoaling of this model are improved.The numerical results obtained for the present model were compared with the experimental data,and it is found that the predicted results agree with the experimental data.
- Boussinesq equation,
- improvement,
- nonlinearity,
- dispersion

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References(17)

References

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