A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations
文献类型：期刊论文
| 作者 | Wen, Xin |
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2006-11-20 |
| 卷号 | 219期号:1页码:322-390 |
| 关键词 | shallow water equations nozzle flow equations discontinuous topography well-balanced scheme surface gradient method shock capturing |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2006.03.019 |
| 英文摘要 | We propose a simple well-balanced method named the slope selecting method which is efficient in both steady state capturing and preserving for hyperbolic system with geometrical source terms having concentrations. Physical problems under consideration include the shallow water equations with discontinuous topography, and the quasi-one-dimensional nozzle flows with discontinuous cross-sectional area. This method is an extension from the interface type method developed in [S. Jin, X. Wen, An efficient method for computing hyperbolic systems with geometrical source terms having concentrations, J. Comput. Math. 22 (2004) 230-249]. The slope selecting method keeps two merits of the previous method. It can be applied when the homogeneous system solver is available and has efficient steady state capturing property. Compared with the previous method, the slope selecting method has two improvements. One is this method also has satisfactory steady state preserving property. The other is this method can be applied to any conservative scheme for the homogeneous system. Numerical examples provide strong evidence on the effectiveness of this slope selecting method for various unsteady, steady and quasi-steady state solutions calculations as well as the flexibility of this method of being applicable to any conservative scheme for the homogeneous system. (c) 2006 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000242332500020 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2776]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wen, Xin |
| 作者单位 | Chinese Acad Sci, Inst Computat Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wen, Xin. A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2006,219(1):322-390. |
| APA | Wen, Xin.(2006).A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations.JOURNAL OF COMPUTATIONAL PHYSICS,219(1),322-390. |
| MLA | Wen, Xin."A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations".JOURNAL OF COMPUTATIONAL PHYSICS 219.1(2006):322-390. |
入库方式： OAI收割
来源：数学与系统科学研究院
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