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

Frontiers of Earth Science 2015年第4期9卷 642-658页

作者： Fuqiang LU Key Laboratory of Virtual Geographic Environment (Nanjing Normal University) Ministry of Education Nanjing 210023 China State Key Laboratory Cultivation Base of Geographical Environment Evolution (Jiangsu Province) Nanjing 210023 China Jiangsu Center for Collaborative Innovation in Geographical Information Resource Development and Application Nanjing 210023 China

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

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A 3D Nonhydrostatic Compressible Atmospheric Dynamic Core by Multi-moment Constrained Finite Volume Method

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Advances in Atmospheric Sciences 2019年第10期36卷 1129-1142页

作者： Qingchang QIN Xueshun SHEN Chungang CHEN Feng XIAO Yongjiu DAI Xingliang LI College of Global Change and Earth System Science Beijing Normal University Beijing 100875 China Center of Numerical Weather Predication China Meteorological Administration Beijing 100081 China State Key Laboratory for Strength and Vibration of Mechanical Structures Xi’an Jiaotong University Xi’an 710049 China Department of Mechanical Engineering Tokyo Institute of Technology Tokyo 226-8502 Japan School of Atmospheric Sciences Sun Yat-Sen University Guangzhou 510275 China Beijing Meteorological Observatory Beijing 100089 China

A 3D compressible nonhydrostatic dynamic core based on a three-point multi-moment constrained finite-volume (MCV) method is developed by extending the previous 2D nonhydrostatic atmospheric dynamics to 3D on a terrainfollowing grid. The MCV algorithm defines two types of moments: the point-wise value (PV) and the volume-integrated average (VIA). The unknowns (PV values) are defined at the solution points within each cell and are updated through the time evolution formulations derived from the governing equations. Rigorous numerical conservation is ensured by a constraint on the VIA moment through the flux form formulation. The 3D atmospheric dynamic core reported in this paper is based on a three-point MCV method and has some advantages in comparison with other existing methods, such as uniform third-order accuracy, a compact stencil, and algorithmic simplicity. To check the performance of the 3D nonhydrostatic dynamic core, various benchmark test cases are performed. All the numerical results show that the present dynamic core is very competitive when compared to other existing advanced models, and thus lays the foundation for further developing global atmospheric models in the near future.

关键词： multi-moment constrained finite-volume method nonhydrostatic dynamic core topography height-based terrain-following coordinate

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