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Modelling of 2-D extended Boussinesq equations using a hybrid numerical scheme

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Abstract

In this paper, a hybrid finite-difference and finite-volume numerical scheme is developed to solve the 2-D Boussinesq equations. The governing equations are the extended version of Madsen and Sorensen’s formulations. The governing equations are firstly rearranged into a conservative form. The finite volume method with the HLLC Riemann solver is used to discretize the flux term while the remaining terms are discretized by using the finite difference method. The fourth order MUSCL-TVD scheme is employed to reconstruct the variables at the left and right states of the cell interface. The time marching is performed by using the explicit second-order MUSCL-Hancock scheme with the adaptive time step. The developed model is validated against various experimental measurements for wave propagation, breaking and runup on three dimensional bathymetries.

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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  (房克照), Zhe Zhang  (张哲), Zhi-li Zou  (邹志利) & Zhong-bo Liu  (刘忠波)

  2. National Marine Environment Monitoring Center, State Oceanic Administration, Dalian, 116023, China

    Ke-zhao Fang  (房克照), Zhe Zhang  (张哲), Zhi-li Zou  (邹志利), Zhong-bo Liu  (刘忠波) & Jia-wen Sun  (孙家文)

Authors
  1. Ke-zhao Fang  (房克照)
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  2. Zhe Zhang  (张哲)
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  3. Zhi-li Zou  (邹志利)
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  4. Zhong-bo Liu  (刘忠波)
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  5. Jia-wen Sun  (孙家文)
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Corresponding author

Correspondence to Ke-zhao Fang  (房克照).

Additional information

Project supported by the National Natural Science Foundation of China (Grant Nos. 51009018, 51079042).

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

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Fang, Kz., Zhang, Z., Zou, Zl. et al. Modelling of 2-D extended Boussinesq equations using a hybrid numerical scheme. J Hydrodyn 26, 187–198 (2014). https://doi.org/10.1016/S1001-6058(14)60021-4

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  • DOI: https://doi.org/10.1016/S1001-6058(14)60021-4

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