| 求解二维浅水流动方程的Godunov格式 |
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| 引用本文： | 潘存鸿,林炳尧,毛献忠.求解二维浅水流动方程的Godunov格式[J].水动力学研究与进展(A辑),2003,18(1):16-23. |
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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： | 浙江省水利河口研究院,浙江杭州,310020 |
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| 基金项目： | 国家自然科学基金资助项目 (40 10 6 0 10 ) |
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| 摘 要： | 采用网格变换和Strang算子分裂,以准确Riemann解为基础。建立了求解非平底浅水流动方程的Godunov格式,用“水位方程法（Water Level Formulation)”求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,经验证,方法健全。通用,且分辨率高。
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| 关 键 词： | 二维浅水流动方程 Godunov格式 Riemann问题 源项 算子分型 |
| 文章编号： | 1000-4874(2003)01-0016-08 |
A Godunov-type scheme for 2-D shallow-water flow with bottom topography |
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| PAN Cun hong,LIN Bing yao,MAO Xian zhong.A Godunov-type scheme for 2-D shallow-water flow with bottom topography[J].Journal of Hydrodynamics,2003,18(1):16-23. |
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| Authors: | PAN Cun hong LIN Bing yao MAO Xian zhong |
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| Abstract: | Based on the exact Riemann solver with the mesh transformation and Strang splitting, this paper presents a Godunov type scheme for 2D shallow water flow with bottom topography. Central difference and the solution of the Riemann problem with "water level formulation (WLF)" were used in the discretization of the source term in the scheme, so the current scheme is a well balanced method. The scheme was proved to be accurate and robust for both steady and unsteady flow simulations. |
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| Keywords: | D shallow water equation Godunov type scheme Riemann problem source terms Strang splitting |
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