| 一维浅水流动方程的Godunov格式求解 |
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| 引用本文： | 潘存鸿,林炳尧,毛献忠.一维浅水流动方程的Godunov格式求解[J].水科学进展,2003,14(4):430-436. |
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| 作者姓名： | 潘存鸿 林炳尧 毛献忠 |
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| 作者单位： | 1.上海大学理学院, 上海, 200436; |
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| 基金项目： | 国家自然科学基金资助项目(40106010)~~ |
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| 摘 要： | 以准确Riemann解为基础,建立了求解一维非平底浅水流动方程的Godunov格式,用"水位方程法(WaterLevel Formulation,WLF)"求解Riemann解,结合中心差分和Riemann解离散底坡项,保证了计算格式的和谐性.经算例验证,方法健全、通用,且分辨率高.
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| 关 键 词： | 一维浅水流动方程 Godunov格式 Riemann解 源项 |
| 文章编号： | 1001-6791(2003)04-430-07 |
| 收稿时间： | 2002-03-01 |
| 修稿时间： | 2002年3月1日 |
A Godunov-type scheme for 1-D shallow-water flow with uneven bottom |
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| PAN Cun-hong,LIN Bing-yao,MAO Xian-zhong.A Godunov-type scheme for 1-D shallow-water flow with uneven bottom[J].Advances in Water Science,2003,14(4):430-436. |
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| Authors: | PAN Cun-hong LIN Bing-yao MAO Xian-zhong |
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| Institution: | 1.Shanghai University, Shanghai 200436, China;2.Zhejiang Institute of Hydraulics and Estuary, Hangzhou 310020, China |
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| Abstract: | Based on exact the Riemann solution,this paper presents a Godunov-type scheme for 1-D shallow-water equations with uneven bottom.Central difference and the Riemann solution with "water level formulation" are used in the discretisation of the source term to keep the scheme well-balanced.Numerical experiments are presented to demonstrate that the scheme is robust,versatile and high in resolution. |
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| Keywords: | 1-D shallow-water flow Godunov-type scheme Riemann solution source terms |
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