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Boussinesq Modelling of Nearshore Waves Under Body Fitted Coordinate

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Abstract

A set of nonlinear Boussinesq equations with fully nonlinearity property is solved numerically in generalized coordinates, to develop a Boussinesq-type wave model in dealing with irregular computation boundaries in complex nearshore regions and to facilitate the grid refinements in simulations. The governing equations expressed in contravariant components of velocity vectors under curvilinear coordinates are derived and a high order finite difference scheme on a staggered grid is employed for the numerical implementation. The developed model is used to simulate nearshore wave propagations under curvilinear coordinates, the numerical results are compared against analytical or experimental data with a good agreement.

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Authors and Affiliations

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

    Ke-zhao Fang, Zhi-li Zou, Zhong-bo Liu & Ji-wei Yin

  2. Key Laboratory of Coastal Disaster and Defence, Ministry of Education, Hohai University, Nanjing, 210098, China

    Ke-zhao Fang

Authors
  1. Ke-zhao Fang
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  2. Zhi-li Zou
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  3. Zhong-bo Liu
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  4. Ji-wei Yin
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Corresponding author

Correspondence to Ke-zhao Fang.

Additional information

Project supported by the National Natural Science Foundation of China (Grant Nos. 51009018, 51079024), the Founds for Creative Research Groups of China (Grant No. 50921001), the Key Laboratory of Coastal Disaster and Defence, Ministry of Education, Hohai University (Grant No. 200803) and the State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology (Grant No. LP1105).

Biography: FANG Ke-zhao (1980-), Male, Ph. D., Lecturer

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Fang, Kz., Zou, Zl., Liu, Zb. et al. Boussinesq Modelling of Nearshore Waves Under Body Fitted Coordinate. J Hydrodyn 24, 235–243 (2012). https://doi.org/10.1016/S1001-6058(11)60239-4

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  • DOI: https://doi.org/10.1016/S1001-6058(11)60239-4

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