| 迎风有限元法在三维潮流数值模拟中的应用 |
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| 引用本文： | 董文军,陈虹.迎风有限元法在三维潮流数值模拟中的应用[J].海洋与湖沼,1997,28(3):320-327. |
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| 作者姓名： | 董文军 陈虹 |
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| 作者单位： | 天津大学数学系!天津，300072，天津大学水利系!天津，300072 |
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| 摘 要： | 为研究和开发迎风有限元法在河口海岸三维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，采用一咱平面迎风有奶元与垂向工有限差分相结合地数值计算方法建立三维潮流数学模型，基地实际的物理过程，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，以较高的分辩率揭示了潮流空间结构特
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| 关 键 词： | 浅水波 迎风 有限元 数值模拟 潮流 海流 |
| 收稿时间： | 1995/11/4 0:00:00 |
| 修稿时间： | 1996/6/13 0:00:00 |
APPLICATION OF AN UPWIND FINITE ELEMENT METHOD IN THREE DIMENSIONAL NUMERICAL SIMULATION OF TIDAL MOTION |
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| Dong Wenjun and Chen Hong.APPLICATION OF AN UPWIND FINITE ELEMENT METHOD IN THREE DIMENSIONAL NUMERICAL SIMULATION OF TIDAL MOTION[J].Oceanologia Et Limnologia Sinica,1997,28(3):320-327. |
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| Authors: | Dong Wenjun and Chen Hong |
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| Institution: | Department of Mathematics ,Tianjin 300072;Department of Hydraulics,Tianjin 300072 |
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| Abstract: | Based on nonlinear shallow water wave equations, a numerical calculation of hodrizontal upwind finite elements combined with vertical implicit finite difference method are adopted to set up this three dimensional tide current mathematical model' -coordinates are applied to control equation for transformation so as to have similarspatial resolution everywhere in the calculating domain. For the equations set up, basedon the practical physical process, the three dimensional flow is divided into extemal andinternal gravity waves, are used to solve tide level and velocity spatial distribution,respectively' Verification by calculation with the model and theoretical formula yielded ideal-ly similar results' The model was applied to calculate the partial ase field of the BohaiSea including Tanjin Newgang Habor, Haihe River and the Yongdingxin River stuary'The spatial structure characteristics of tide current in the region is revealed by using corresponding actual measurent data' This study aimed to reaserch application of upwind finiteelement method in the field of three dimensional numerical simulation of tidal motion, andlay the foundation for setting up three dimensional sediment model for solvingconstruction projod problems' |
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| Keywords: | Shallow-water wave Upwind finite element Three dimensional numerical simulation |
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