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

• Published in: China ocean engineering Vol. 25; no. 3; pp. 457 - 468
• Main Author: 崔雷 佟飞飞 石峰
• Format: Journal Article
• Language: English
• Published: Heidelberg Chinese Ocean Engineering Society 01.09.2011; 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, Australia%School of Civil andResource Engineering, The University of Western Australia, Crawley WA6009, Australia%State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China
• Subjects: Alternating direction implicit methods; Channels; Coastal Sciences; Computer simulation; Engineering; Fluid- and Aerodynamics; Marine; Marine & Freshwater Sciences; Mathematical analysis; Mathematical models; Modules; Numerical and Computational Physics; Oceanography; Offshore Engineering; Simulation; Transformations; Wave equations; 交替方向隐式方法; 感应电流; 抛物型缓坡方程; 数值模型; 数值模拟; 正交曲线坐标; 波动方程; 浅水方程; radiation stress; wave-induced current; mild-slope equation; curvilinear coordinates; shallow water equations
• ISSN: 0890-5487; 2191-8945
• DOI: 10.1007/s13344-011-0037-2

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.