A new smoothness indicator for improving the weighted essentially non-oscillatory scheme
文献类型：期刊论文
| 作者 | Fan, Ping1; Shen, Yiqing2; Tian, Baolin3; Yang, Chao1 |
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2014-07-15 |
| 卷号 | 269期号:1页码:329-354 |
| 关键词 | WENO scheme Smoothness indicator Hyperbolic conservation law Euler equation |
| ISSN号 | 0021-9991 |
| 其他题名 | J. Comput. Phys. |
| 中文摘要 | In this work, a new smoothness indicator that measures the local smoothness of a function in a stencil is introduced. The new local smoothness indicator is defined based on the Lagrangian interpolation polynomial and has a more succinct form compared with the classical one proposed by Jiang and Shu [12]. Furthermore, several global smoothness indicators with truncation errors of up to 8th-order are devised. With the new local and global smoothness indicators, the corresponding weighted essentially non-oscillatory (WENO) scheme can present the fifth order convergence in smooth regions, especially at critical points where the first and second derivatives vanish (but the third derivatives are not zero). Also the use of higher order global smoothness indicators incurs less dissipation near the discontinuities of the solution. Numerical experiments are conducted to demonstrate the performance of the proposed scheme. (C) 2014 Elsevier Inc. All rights reserved. |
| 英文摘要 | In this work, a new smoothness indicator that measures the local smoothness of a function in a stencil is introduced. The new local smoothness indicator is defined based on the Lagrangian interpolation polynomial and has a more succinct form compared with the classical one proposed by Jiang and Shu [12]. Furthermore, several global smoothness indicators with truncation errors of up to 8th-order are devised. With the new local and global smoothness indicators, the corresponding weighted essentially non-oscillatory (WENO) scheme can present the fifth order convergence in smooth regions, especially at critical points where the first and second derivatives vanish (but the third derivatives are not zero). Also the use of higher order global smoothness indicators incurs less dissipation near the discontinuities of the solution. Numerical experiments are conducted to demonstrate the performance of the proposed scheme. (C) 2014 Elsevier Inc. All rights reserved. |
| WOS标题词 | Science & Technology ; Technology ; Physical Sciences |
| 类目[WOS] | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| 研究领域[WOS] | Computer Science ; Physics |
| 关键词[WOS] | SHOCK-CAPTURING SCHEMES ; HIGH-ORDER ; EFFICIENT IMPLEMENTATION ; WENO SCHEMES ; TAYLOR INSTABILITY ; RAYLEIGH-TAYLOR ; MESHES ; FLOW |
| 收录类别 | SCI |
| 原文出处 | |
| 语种 | 英语 |
| WOS记录号 | WOS:000335439300019 |
| 公开日期 | 2014-08-28 |
| 版本 | 出版稿 |
| 源URL | [http://ir.ipe.ac.cn/handle/122111/10900]  |
| 专题 | 过程工程研究所_研究所（批量导入） |
| 作者单位 | 1.Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China 3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fan, Ping,Shen, Yiqing,Tian, Baolin,et al. A new smoothness indicator for improving the weighted essentially non-oscillatory scheme[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2014,269(1):329-354. |
| APA | Fan, Ping,Shen, Yiqing,Tian, Baolin,&Yang, Chao.(2014).A new smoothness indicator for improving the weighted essentially non-oscillatory scheme.JOURNAL OF COMPUTATIONAL PHYSICS,269(1),329-354. |
| MLA | Fan, Ping,et al."A new smoothness indicator for improving the weighted essentially non-oscillatory scheme".JOURNAL OF COMPUTATIONAL PHYSICS 269.1(2014):329-354. |
入库方式： OAI收割
来源：过程工程研究所
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