Simulation of nearshore wave processes by a depth-integrated non-hydrostatic finite element model

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• 作者：Zhangping Wei ; Yafei Jia
• 关键词：Non-hydrostatic ; Wave breaking ; Wave run-up ; Depth-integrated ; Momentum conservation ; CCHE2D
• 刊名：Coastal Engineering
• 出版年：January, 2014
• 年：2014
• 卷：83
• 期：Complete
• 页码：93-107
• 全文大小：1540 K

文摘

This paper presents CCHE2D-NHWAVE, a depth-integrated non-hydrostatic finite element model for simulating nearshore wave processes. The governing equations are a depth-integrated vertical momentum equation and the shallow water equations including extra non-hydrostatic pressure terms, which enable the model to simulate relatively short wave motions, where both frequency dispersion and nonlinear effects play important roles. A special type of finite element method, which was previously developed for a well-validated depth-integrated free surface flow model CCHE2D, is used to solve the governing equations on a partially staggered grid using a pressure projection method. To resolve discontinuous flows, involving breaking waves and hydraulic jumps, a momentum conservation advection scheme is developed based on the partially staggered grid. In addition, a simple and efficient wetting and drying algorithm is implemented to deal with the moving shoreline. The model is first verified by analytical solutions, and then validated by a series of laboratory experiments. The comparison shows that the developed wave model without the use of any empirical parameters is capable of accurately simulating a wide range of nearshore wave processes, including propagation, breaking, and run-up of nonlinear dispersive waves and transformation and inundation of tsunami waves.