A new three-dimensional terrain-following tidal model of free-surface flows

作者：Lu Fuqiang; Zhang Zhuo^*; Song Zhiyao; Yue Songshan; Wen Yongning

来源：Frontiers of Earth Science, 2015, 9(4): 642-658.

DOI：10.1007/s11707-015-0539-y

• three-dimensional numerical model
• alternating direction implicit method
• tidal flow
• orthogonal curvilinear coordinates
• terrain-following

A three-dimensional hydrodynamic model is presented which combines a terrain-following vertical coordinate with a horizontally orthogonal curvilinear coordinate system to fit the complex bottom topography and coastlines near estuaries, continental shelves, and harbors. To solve the governing equations more efficiently, we improve the alternating direction implicit method, which is extensively used in the numerical modeling of horizontal two-dimensional shallow water equations, and extend it to a three-dimensional tidal model with relatively little computational effort. Through several test cases and realistic applications, as presented in the paper, it can be demonstrated that the model is capable of simulating the periodic to-and-fro currents, wind-driven flow, Ekman spirals, and tidal currents in the near-shore region.

• 出版日期2015-12
• 单位南京师范大学