Enhanced Boussinesq equations for rapidly varying topographies and their one-dimensional numerical validation

LIU Zhong-bo; ZOU Zhi-li; SUN Zhao-chen

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LIU Zhong-bo, ZOU Zhi-li, SUN Zhao-chen. Enhanced Boussinesq equations for rapidly varying topographies and their one-dimensional numerical validation[J]. Haiyang Xuebao, 2008, 30(3): 117-125.

Citation:

LIU Zhong-bo, ZOU Zhi-li, SUN Zhao-chen. Enhanced Boussinesq equations for rapidly varying topographies and their one-dimensional numerical validation[J]. Haiyang Xuebao, 2008, 30(3): 117-125.

LIU Zhong-bo, ZOU Zhi-li, SUN Zhao-chen. Enhanced Boussinesq equations for rapidly varying topographies and their one-dimensional numerical validation[J]. Haiyang Xuebao, 2008, 30(3): 117-125.

Citation:

LIU Zhong-bo, ZOU Zhi-li, SUN Zhao-chen. Enhanced Boussinesq equations for rapidly varying topographies and their one-dimensional numerical validation[J]. Haiyang Xuebao, 2008, 30(3): 117-125.

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Enhanced Boussinesq equations for rapidly varying topographies and their one-dimensional numerical validation

1.
Transportation Engineering and Logistics College, Dalian Maritime University, Dalian 116026, China
2.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China

Received Date: 2007-01-23
Rev Recd Date: 2007-09-25

Abstract

Abstract

On the basis of the equations proposed by another person an enhanced Boussinesq model is derived by introducing additional terms with four parameters.The linear dispersion is accurate to Pad(4,4) expansion of linear Stokes's dispersion,the shoaling is applicable to arelative water depth(wavenumber is multiplied by water depth) not being greater than 6 and nonlinearity is accurate to the relative water depth not being greater than 1.05 within 5% error.Aone-dimensional numerical model is established with a composite fourth-order. A dams-Bashforth-Moult on scheme for time marching in non-staggered grids,and the five-diag onal method is used in the calculations.Numerical simulations are done upon wave propagation over a submerged bar.Numerical results are compared with the experimental data,and the present model is well validated.
- linear dispersion,
- shoaling,
- nonlinearity,
- numerical model

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References(13)

References

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