| 摘要: |
| 为研究和开发迎风有限元法在河口海岸三维潮波数值模拟中的应用，并为建立三维物质扩散模型，最终为解决实际工程问题打下基础，以非线性浅水波方程为基础，采用一种平面迎风有限元与垂向隐式有限差分相结合的数值计算方法建立三维潮流数学模型。基于实际的物理过程，在计算中将三维流动分成外重力波和内重力波，耦联求解潮位和流速的空间分布。应用本模式计算了天津新港附近渤海海域的三维潮流运动，以较高的分辨率揭示了潮流空间结构特征。 |
| 关键词: 浅水波 迎风有限元 三维数值模拟 |
| DOI： |
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| APPLICATION OF AN UPWIND FINITE ELEMENT METHOD IN THREE DIMENSIONAL NUMERICAL SIMULATION OF TIDAL MOTION |
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Dong Wenjun1, Chen Hong2
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1.Department of Mathematics ,Tianjin 300072;2.Department of Hydraulics,Tianjin 300072
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| Abstract: |
| Based on nonlinear shallow water wave equations, a numerical calculation of horizontal upwind finite elements combined with vertical implicit finite difference method are adopted to set up this three dimensional tide current mathematical model. σ-coordinates are applied to control equation for transformation so as to have similar spatial resolution everywhere in the calculating domain. For the equations set up, based on the practical physical process, the three dimensional flow is divided into external and internal gravity waves, are used to solve tide level and velocity spatial distribution, respectively. Verification by calculation with the model and theoretical formula yielded ideally similar results. The model was applied to calculate the partial sea field of the Bohai Sea including Tianjin Newgang Habor, Haihe River and the Yongdingxin River estuary. The spatial structure characteristics of tide current in the region are revealed by using corresponding actual measurement data. This study aimed to research application of upwind finite element method in the field of three-dimensional numerical simulation of tidal motion, and laid the foundation for setting up three-dimensional sediment model for solving construction project problems. |
| Key words: Shallow-water wave, Upwind finite element, Three dimensional numerical simulation |
