| 题名 | A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations |
| 作者 | |
| 通讯作者 | Kurganov, Alexander |
| 发表日期 | 2019-07
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| DOI | |
| 发表期刊 | |
| ISSN | 0885-7474
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| EISSN | 1573-7691
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| 卷号 | 80期号:1页码:538-554 |
| 摘要 | We construct a new second-order moving-water equilibria preserving central-upwind scheme for the one-dimensional Saint-Venant system of shallow water equations. The idea is based on a reformulation of the source terms as integral in the flux function. Reconstruction of the flux variable yields then a third order equation that can be solved exactly. This procedure does not require any further modification of existing schemes. Several numerical tests are performed to verify the ability of the proposed scheme to accurately capture small perturbations of steady states. |
| 关键词 | |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
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| 学校署名 | 通讯
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| 资助项目 | DFG[HE5386/13-15]
; DFG[EXC128]
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| WOS研究方向 | Mathematics
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| WOS类目 | Mathematics, Applied
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| WOS记录号 | WOS:000468983100020
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| 出版者 | |
| EI入藏号 | 20191606797590
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| EI主题词 | Equations of state
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| EI分类号 | Calculus:921.2
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| ESI学科分类 | MATHEMATICS
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| 来源库 | Web of Science
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| 引用统计 |
被引频次[WOS]：32
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| 成果类型 | 期刊论文 |
| 条目标识符 | //www.snoollab.com/handle/2SGJ60CL/25614 |
| 专题 | 理学院_数学系 工学院_材料科学与工程系 |
| 作者单位 | 1.Tulane Univ, Math Dept, New Orleans, LA 70118 USA 2.North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA 3.Rhein Westfal TH Aachen, Dept Math, Templergraben 55, D-52056 Aachen, Germany 4.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China |
| 通讯作者单位 | 数学系 |
| 推荐引用方式 GB/T 7714 |
Cheng, Yuanzhen,Chertock, Alina,Herty, Michael,et al. A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations[J]. JOURNAL OF SCIENTIFIC COMPUTING,2019,80(1):538-554.
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| APA |
Cheng, Yuanzhen,Chertock, Alina,Herty, Michael,Kurganov, Alexander,&Wu, Tong.(2019).A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations.JOURNAL OF SCIENTIFIC COMPUTING,80(1),538-554.
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| MLA |
Cheng, Yuanzhen,et al."A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations".JOURNAL OF SCIENTIFIC COMPUTING 80.1(2019):538-554.
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| 条目包含的文件 | ||||||
| 文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | 操作 | |
| Cheng-2019-A New App（857KB） | -- | -- | 限制开放 | -- | ||
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