Numerical validation of a Boussinesq-type model for highly nonlinear and dispersive waves

Zhao Hongjun; Jiao Yingxia; Kong Jun

doi:10.3969/j.issn.0253-4193.2017.05.002

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Zhao Hongjun, Jiao Yingxia, Kong Jun. Numerical validation of a Boussinesq-type model for highly nonlinear and dispersive waves[J]. Haiyang Xuebao, 2017, 39(5): 10-21. doi: 10.3969/j.issn.0253-4193.2017.05.002

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Zhao Hongjun, Jiao Yingxia, Kong Jun. Numerical validation of a Boussinesq-type model for highly nonlinear and dispersive waves[J]. Haiyang Xuebao, 2017, 39(5): 10-21. doi: 10.3969/j.issn.0253-4193.2017.05.002

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Numerical validation of a Boussinesq-type model for highly nonlinear and dispersive waves

doi: 10.3969/j.issn.0253-4193.2017.05.002

College of Harbor, Coastal and Offshore Engineering, Hohai University, Nanjing 210098, China

Received Date: 2016-10-14
Rev Recd Date: 2017-01-15

Abstract

Abstract

In the present work a numerical highly nonlinear and dispersive Boussinesq-type model is developed based on a non-staggered finite difference technique. With the Fourier approximation method providing the incident wave boundary condition, the model is applied and verified against a set of three test cases for which analytical, numerical or experimental reference results are available: (1) propagation of linear and nonlinear periodic waves on deep and shallow depth, (2) shoaling of linear and nonlinear regular waves from deep to shallow water on a mild slope, and (3) transformation of regular waves on a mild slope and on steep slopes. Comparisons of the numerical results with the analytical, numerical and experimental ones confirm the capabilities of the model for the predictions of highly nonlinear and dispersive waves and for the computations of nonlinear wave shoaling on different slopes.
- Boussinesq equation,
- nonlinearity,
- dispersion,
- shoaling

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References(31)

References

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