Higher-order Boussinesq equations with strong currents

Zou Zhili

Volume 22 Issue 4

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Zou Zhili. Higher-order Boussinesq equations with strong currents[J]. Haiyang Xuebao, 2000, 22(4): 41-50.

Citation:

Zou Zhili. Higher-order Boussinesq equations with strong currents[J]. Haiyang Xuebao, 2000, 22(4): 41-50.

Zou Zhili. Higher-order Boussinesq equations with strong currents[J]. Haiyang Xuebao, 2000, 22(4): 41-50.

Citation:

Zou Zhili. Higher-order Boussinesq equations with strong currents[J]. Haiyang Xuebao, 2000, 22(4): 41-50.

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Higher-order Boussinesq equations with strong currents

Zou Zhili

State Key Laboratory of Coasstal and off shore Engineering, Delian University of Technology, Delian 116024

Received Date: 1998-07-27
Rev Recd Date: 1999-02-03

Abstract

Abstract

The higher-order Boussinesq equations for the case of strong current are developed by a perturbation method under the assumption that the current velocity is of the same magnitude as the wave group velocity, and its time and space scales of variation are much greater than the wave period and length respectively.The frequency dispension of the equations is accurate to [4/4] Pade's expansion and the equations are applicable to fully nonlinear case of wave and current interactions for very shallow water.The discussion is also made for the validations of the Boussinesq equations with different frequency dispersion.
- Water wave,
- current,
- wave-current interactions

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References(8)

References

Pergrine D H. Interaction of water waves and currents. Adv Appl Mech, 1976, 16:10～117

Brevik I, Aas B. Flume experiments on wave and current. I. Rippled bed. Coastal Engineering, 1980, 3:149～177

Yoon S B, Liu P L F. Interaction of currents and weakly nonlinear water waves in shallow water. J Fluid Mech, 1989, 205:397～419

Priiser H H, Zielke W. Irregular wave on a current. In:Proc 22nd Int Conf Coastal Eng, Delft, The Netherlands, Vol. 1. New York:ASCE, 1990, 1 088～1 101

Chen Q, Madsen P A, Schaffer H A, et al. Wave-current interaction bassed on an enhanced Boussinesq approach. Coastal Eng, 1998, 33:11～39

Madsen P A, Schaffer H A, Chen Q. et al. Boussineaq type equations with high accuracy in dispersion and nonlinearity. In:Proc 25th Int Conf Coastal Eng, Vol 1. Orlando:ASCE, 1996. 95～108

邹志利.高阶Boussinesq水波方程.中国科学(E辑),1997,27(5):460～473

邹志利.高阶Boussinesq水波方程的改进.中国科学(E辑),1998,28(5):1～10

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