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Numerical simulation of wave-induced currents combined with parabolic mild-slope equation in curvilinear coordinates

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Abstract

Researches on breaking-induced currents by waves are summarized firstly in this paper. Then, a combined numerical model in orthogonal curvilinear coordinates is presented to simulate wave-induced current in areas with curved boundary or irregular coastline. The proposed wave-induced current model includes a nearshore current module established through orthogonal curvilinear transformation form of shallow water equations and a wave module based on the curvilinear parabolic approximation wave equation. The wave module actually serves as the driving force to provide the current module with required radiation stresses. The Crank-Nicolson finite difference scheme and the alternating directions implicit method are used to solve the wave and current module, respectively. The established surf zone currents model is validated by two numerical experiments about longshore currents and rip currents in basins with rip channel and breakwater. The numerical results are compared with the measured data and published numerical results.

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Authors and Affiliations

  1. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, 116023, China

    Lei Cui  (崔 雷) & Feng Shi  (石 峰)

  2. School of Civil and Resource Engineering, The University of Western Australia, Crawley, WA6009, Australia

    Fei-fei Tong  (佟飞飞)

Authors
  1. Lei Cui  (崔 雷)
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  2. Fei-fei Tong  (佟飞飞)
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  3. Feng Shi  (石 峰)
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Corresponding author

Correspondence to Lei Cui  (崔 雷).

Additional information

This project is financially supported by the National Natural Science Foundation of China (Grant Nos. 50839001 and 50979036).

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Cui, L., Tong, Ff. & Shi, F. Numerical simulation of wave-induced currents combined with parabolic mild-slope equation in curvilinear coordinates. China Ocean Eng 25, 457–468 (2011). https://doi.org/10.1007/s13344-011-0037-2

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  • DOI: https://doi.org/10.1007/s13344-011-0037-2

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