| 题名 | Mapped CWENO scheme for hyperbolic conservation laws |
| 作者 | |
| 通讯作者 | Huang, Cong |
| 发表日期 | 2018-12-15
|
| DOI | |
| 发表期刊 | |
| ISSN | 0377-0427
|
| EISSN | 1879-1778
|
| 卷号 | 344页码:229-244 |
| 摘要 | In this paper, we analysis the Central Weighted Essentially Non-Oscillatory (CWENO) scheme for hyperbolic conservation laws (Qiu and Shu, 2002). The CWENO procedure contains three major steps: the reconstruction of (u) over bar (n)(i+1/2) from (u) over bar (n)(i), the reconstruction of u(i)(n) from (u) over bar (n)(i), and the approximation of integral(tn+1)(tn) integral(u(x(i),t))dt using the Natural Continuous Extension (NCE) of Runge-Kutta method. We found that both reconstructions lost the designed optimal order of accuracy near critical points. This loss of accuracy can be recovered by using a proper mapping function. Furthermore, numerical tests demonstrate that, in practice, it is enough for the mapping technique to be implemented only in the first reconstruction. This new mapped central WENO method is not only more accurate than the one in Qiu and Shu (2002), but also more efficient. (C) 2018 Elsevier B.V. All rights reserved. |
| 关键词 | |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
|
| 学校署名 | 其他
|
| 资助项目 | National Natural Science Foundation of China[11626071]
; National Natural Science Foundation of China[91530115]
|
| WOS研究方向 | Mathematics
|
| WOS类目 | Mathematics, Applied
|
| WOS记录号 | WOS:000440394900015
|
| 出版者 | |
| EI入藏号 | 20182305284805
|
| EI主题词 | Mapping
; Runge Kutta methods
|
| EI分类号 | Surveying:405.3
; Numerical Methods:921.6
; Physical Properties of Gases, Liquids and Solids:931.2
|
| ESI学科分类 | MATHEMATICS
|
| 来源库 | Web of Science
|
| 引用统计 |
被引频次[WOS]：2
|
| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/26787 |
| 专题 | 理学院_数学系 工学院_材料科学与工程系 |
| 作者单位 | 1.Guilin Univ Technol, Coll Sci, Guilin, Guangxi, Peoples R China 2.South Univ Sci & Technol China, Dept Math, Shenzhen, Guangdong, Peoples R China |
| 推荐引用方式 GB/T 7714 |
Huang, Cong,Wang, Rong. Mapped CWENO scheme for hyperbolic conservation laws[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2018,344:229-244.
|
| APA |
Huang, Cong,&Wang, Rong.(2018).Mapped CWENO scheme for hyperbolic conservation laws.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,344,229-244.
|
| MLA |
Huang, Cong,et al."Mapped CWENO scheme for hyperbolic conservation laws".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 344(2018):229-244.
|
| 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 | |
| Huang-2018-Mapped CW（622KB） | -- | -- | 限制开放 | -- | ||
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。
; 
修改评论