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垂向二维悬沙输移有限元数学模型
引用本文:李世森,李国杰,蔡惊涛.垂向二维悬沙输移有限元数学模型[J].港工技术,2006(2):3-6.
作者姓名:李世森  李国杰  蔡惊涛
作者单位:1. 天津大学建筑工程学院,天津,300072
2. 海军工程大学后勤指挥与工程系,天津,300456
摘    要:采用四节点任意四边形等参单元,根据G a lerk in有限元法进行数值离散,建立了潮汐河口沿宽度积分平均的垂向二维泥沙数学模型。模型中,对扩散项通过分步积分和G reen公式变换,精确满足了自由表面和底床边界条件;经采用有解析解的算例对模型进行验证,计算值和理论解相吻合。

关 键 词:垂向二维  有限元  泥沙输移  数学模型
文章编号:1004-9592(2006)02-0003-04
收稿时间:2005-09-25
修稿时间:2005年9月25日

A Two-dimensional Vertical Finite Element Mathematical Model of Suspended Sediment Transport
LI Shi-sen,LI Guo-jie,CAI Jing-tao.A Two-dimensional Vertical Finite Element Mathematical Model of Suspended Sediment Transport[J].Port Engineering Technology,2006(2):3-6.
Authors:LI Shi-sen  LI Guo-jie  CAI Jing-tao
Institution:1. School of Civil Engineering, Tianjin University, Tianjin 300072 ; 2. Department of Logistics Command and Engineering, Naval University of Engineering,Tianjin 300456, China
Abstract:A laterally-averaged two-dimensional vertical mathematical model is presented for the sediment transport in the macrotidal estuary using Galerkin finite element method.Arbitrary four nodes quadrilateral elements are utilized.The boundary conditions on the free surface and bottom bed are introduced exactly by integrating the diffusion terms using integration by parts and Green's Theorem.Examples with analytical solution are used to validate the numerical model.The calculated result agrees well with the analytical result.
Keywords:two-dimensional vertical  finite element method  sediment transport  mathematical model
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