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

作　　者：Fuqiang LU 

机构地区：[1]Key Laboratory of Virtual Geographic Environment (Nanjing Normal University), Ministry of Education, Nanjing 210023, China [2]State Key Laboratory Cultivation Base of Geographical Environment Evolution (Jiangsu Province), Nanjing 210023, China [3]Jiangsu Center for Collaborative Innovation in Geographical Information Resource Development and Application, Nanjing 210023, China

出　　处：《Frontiers of Earth Science》2015年第4期642-658,共17页地球科学前沿（英文版）

基　　金：We appreciate the detailed suggestions and comments provided by the editor and the anonymous reviewers. Several research programs supported the work presented in this article： the National Basic Research Program of China （No. 2015CB954100）, the National Natural Science Foundation of China （Grant No. 41306078）, and the Priority Academic Program Development of Jiangsu Higher Education Institutions （Grant No. 1411109012）.

摘　　要：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.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.

关 键 词：three-dimensional numerical model alternating direction implicit method tidal flow orthogonal curvilinear coordinates terrain-following 

分 类 号：P731.23[天文地球—海洋科学] V249.122.6[航空宇航科学与技术—飞行器设计]