Numerical Simulation of Wave-Induced Currents Combined with Parabolic Mild-Slope Equation in Curvilinear Coordinates

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. 作者： Author： CUI Lei[1]  TONG Fei-fei[2]  SHI Feng[3] 作者單位： State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China;School of Civil andResource Engineering, The University of Western Australia, Crawley WA6009, AustraliaSchool of Civil andResource Engineering, The University of Western Australia, Crawley WA6009, AustraliaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China 期 刊： 中國海洋工程（英文版）   ISTICEISCI Journal： China Ocean Engineering 年，卷(期)： 2011, 25(3) 分類號： U664.33 Keywords： wave-induced current    curvilinear coordinates    mild-slope equation    shallow water equations    radiation stress    機標分類號： X13 O24 機標關鍵詞： Curvilinear Coordinates    numerical results    currents    wave    finite difference scheme    combined numerical model    shallow water equations    curvilinear coordinates    numerical experiments    the driving force    implicit method    transformation    measured data    surf zone    required    form of    rip    based    two 基金項目： Numerical Simulation of Wave-Induced Currents Combined with Parabolic Mild-Slope Equation in Curvilinear Coordinates[期刊論文]  中國海洋工程（英文版） --2011, 25(3)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...

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