Higher-order Boussinesq equations for rapidly varying topography

ZOU Zhi-li

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ZOU Zhi-li. Higher-order Boussinesq equations for rapidly varying topography[J]. Haiyang Xuebao, 2001, 23(1): 109-119.

Citation:

ZOU Zhi-li. Higher-order Boussinesq equations for rapidly varying topography[J]. Haiyang Xuebao, 2001, 23(1): 109-119.

ZOU Zhi-li. Higher-order Boussinesq equations for rapidly varying topography[J]. Haiyang Xuebao, 2001, 23(1): 109-119.

Citation:

ZOU Zhi-li. Higher-order Boussinesq equations for rapidly varying topography[J]. Haiyang Xuebao, 2001, 23(1): 109-119.

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Higher-order Boussinesq equations for rapidly varying topography

ZOU Zhi-li

State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China

Received Date: 1999-08-16
Rev Recd Date: 1999-12-03

Abstract

Abstract

A new form of Boussinesq-type equations is developed for the case of wave propagating over a bed with a slope of the magnitude of O(1) or over rapidly varying topography such as rippled beds.The assumption of mildslope is not used.The formulation of the new equations is the extension to one-order higher than the classical Boussinesq equations derived by Peregrine in 1967,the velocity distribution along depth is a fourth polynoriiial and the accuracy of the dispersion and nonlinearity of the new equations is one-order higher than that of the classical Boussinesq equations.As an example of application,the new equations are used to consider the Bragg reflection problem.
- Boussinesq equations,
- nonlinearity,
- dispersion

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References(19)

References

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