THE SLOP FLUX METHOD FOR NUMERICAL BALANCE IN USING ROE'S APPROXIMATE RIEMANN SOLVER
文献类型：期刊论文
| 作者 | Wang D. W. ; Liu XiaoFang(刘晓芳) ; Chen J. G. ; Ji Z. W. |
| 刊名 | Journal of Hydrodynamics
 |
| 出版日期 | 2012 |
| 卷号 | 24期号:1页码:58-64 |
| 关键词 | shallow water simulation Roe's method complicated topography partial surface method bed slop flux method shallow-water equations volume weno schemes source terms flows simulation gradient |
| ISSN号 | 1001-6058 |
| 通讯作者 | Wang, DW |
| 英文摘要 | Imbalance arises when the Roe's method is directly applied in the shallow water simulation. The reasons are different for the continuity equation and the momentum equations. Based on the Roe's method, a partial surface method is proposed for a perfect balance for the continuity equation. In order to generate a mathematically hyperbolic formulation, the momentum equations are split, which causes incompatibility in the calculation of the momentum equations. In this article a numerical approach named the Slop Flux Method (SFM) is proposed to balance the source terms and the flux gradient based on the finite volume method. The method is first applied to shallow water equations. The model is verified by analytical results of classical test cases with good agreement. Finally the method is applied to a steady flow simulation over a practical complicated topography and the result shows good balance and conservation. |
| 收录类别 | SCI |
| 资助信息 | National Basic Research and Development Program of China (973) 2011CB409901；Special Funds for Public Welfare Project 200901014；"12th Five-Year Plan" to Support Science and Technology 2012BAB02B01 |
| 语种 | 英语 |
| 公开日期 | 2012-09-04 |
| 源URL | [http://ir.igsnrr.ac.cn/handle/311030/26784]  |
| 专题 | 地理科学与资源研究所_研究生部 |
| 推荐引用方式 GB/T 7714 | Wang D. W.,Liu XiaoFang,Chen J. G.,et al. THE SLOP FLUX METHOD FOR NUMERICAL BALANCE IN USING ROE'S APPROXIMATE RIEMANN SOLVER[J]. Journal of Hydrodynamics,2012,24(1):58-64. |
| APA | Wang D. W.,Liu XiaoFang,Chen J. G.,&Ji Z. W..(2012).THE SLOP FLUX METHOD FOR NUMERICAL BALANCE IN USING ROE'S APPROXIMATE RIEMANN SOLVER.Journal of Hydrodynamics,24(1),58-64. |
| MLA | Wang D. W.,et al."THE SLOP FLUX METHOD FOR NUMERICAL BALANCE IN USING ROE'S APPROXIMATE RIEMANN SOLVER".Journal of Hydrodynamics 24.1(2012):58-64. |
入库方式： OAI收割
来源：地理科学与资源研究所
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