浅水问题动边界数值模拟

潘存鸿; 林炳尧; 毛献忠

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,(4):1-7

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浅水问题动边界数值模拟
潘存鸿¹,林炳尧²,毛献忠²
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

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

DOI：

分类号:TV131.2 O35

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)

Numerical simulation of moving boundary for solving shallow water equations

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.

Key words: shallow water equations,moving boundary,Godunov scheme,Riemann solution,tidal bore on Qiantang River,numerical simulation