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浅水问题动边界数值模拟
引用本文:潘存鸿,林炳尧,毛献忠.浅水问题动边界数值模拟[J].水利水运工程学报,2004,0(4):1-7.
作者姓名:潘存鸿  林炳尧  毛献忠
作者单位:1. 上海大学理学院,上海,200436;浙江省水利河口研究院,浙江杭州,310020
2. 浙江省水利河口研究院,浙江杭州,310020
基金项目:国家自然科学基金资助项目(40106010) 浙江省自然科学基金资助项目(M403054)
摘    要:采用基于准确Riemann解的Godunov格式求解浅水流动方程,将仅适用于平底的干底Riemann解推广到处理非平底动边界问题.在计算干底溃坝波的基础上,将该方法应用到有大片滩地的钱塘江河口涌潮计算中,能较好地模拟钱塘江涌潮在滩地上的传播过程.

关 键 词:水问题    浅水流动    钱塘江河口    涌潮    溃坝波    Godunov格式    滩地    动边界    求解    传播过程
文章编号:1009-640X(2004)04-0001-07
修稿时间:2004年4月7日

Numerical simulation of moving boundary for solving shallow water equations
PAN Cun-hong,LIN Bing-yao MAO Xian-zhong.Numerical simulation of moving boundary for solving shallow water equations[J].Hydro-Science and Engineering,2004,0(4):1-7.
Authors:PAN Cun-hong  LIN Bing-yao MAO Xian-zhong
Abstract:The Godunov scheme with an exact Riemann solution is used to solve the shallow water equations, and the classical Riemann solution on dry flat bed is improved to be suitable to the moving boundary with non-flat bed. Based on the verification of a dam-break wave on dry bed, the mathematical model is applied to calculate the tidal bore on the flat alluvial plain of the Qiantang Estuary with the improved Riemann solution on dry bed to solve the moving boundary. Calculation results show that the method can well simulate the propagation of the tidal bore.
Keywords:shallow water equations  moving boundary  Godunov scheme  Riemann solution  tidal bore on Qiantang River  numerical simulation
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