| 题名 | Finite-volume schemes for shallow-water equations |
| 作者 | |
| 通讯作者 | Kurganov, Alexander |
| 发表日期 | 2018
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| DOI | |
| 发表期刊 | |
| ISSN | 0962-4929
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| EISSN | 1474-0508
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| 卷号 | 27页码:289-351 |
| 摘要 | Shallow-water equations are widely used to model water flow in rivers, lakes, reservoirs, coastal areas, and other situations in which the water depth is much smaller than the horizontal length scale of motion. The classical shallow-water equations, the Saint-Venant system, were originally proposed about 150 years ago and still are used in a variety of applications. For many practical purposes, it is extremely important to have an accurate, efficient and robust numerical solver for the Saint-Venant system and related models. As their solutions are typically non-smooth and even discontinuous, finite-volume schemes are among the most popular tools. In this paper, we review such schemes and focus on one of the simplest (yet highly accurate and robust) methods: central-upwind schemes. These schemes belong to the family of Godunov-type Riemann-problem-solver-free central schemes, but incorporate some upwinding information about the local speeds of propagation, which helps to reduce an excessive amount of numerical diffusion typically present in classical (staggered) non-oscillatory central schemes. Besides the classical one- and two-dimensional Saint-Venant systems, we will consider the shallow-water equations with friction terms, models with moving bottom topography, the two-layer shallow-water system as well as general non-conservative hyperbolic systems. |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
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| 学校署名 | 第一
; 通讯
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| 资助项目 | NSFC[11771201]
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| WOS研究方向 | Mathematics
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| WOS类目 | Mathematics
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| WOS记录号 | WOS:000431617200004
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| 出版者 | |
| 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]：63
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| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/28237 |
| 专题 | 理学院_数学系 工学院_材料科学与工程系 |
| 作者单位 | 1.Southern Univ Sci & Technol, Dept Math, 1088 Xueyuan Ave, Shenzhen 518055, Peoples R China 2.Tulane Univ, Dept Math, 6823 St Charles Ave, New Orleans, LA 70118 USA |
| 第一作者单位 | 数学系 |
| 通讯作者单位 | 数学系 |
| 第一作者的第一单位 | 数学系 |
| 推荐引用方式 GB/T 7714 |
Kurganov, Alexander. Finite-volume schemes for shallow-water equations[J]. ACTA NUMERICA,2018,27:289-351.
|
| APA |
Kurganov, Alexander.(2018).Finite-volume schemes for shallow-water equations.ACTA NUMERICA,27,289-351.
|
| MLA |
Kurganov, Alexander."Finite-volume schemes for shallow-water equations".ACTA NUMERICA 27(2018):289-351.
|
| 条目包含的文件 | 条目无相关文件。 | |||||
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