| Novel local smoothness indicators for improving the third-order WENO scheme |
| Liu SP(刘升平); Shen YQ(申义庆) ; Chen B(陈北); Ceng FJ(曾方军)
|
| Source Publication | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
(IF:1.631[JCR-2018],2.039[5-Year]) |
| 2018-05-20
|
| Volume | 87Issue:2Pages:51-69 |
| ISSN | 0271-2091
|
| Abstract | The local smoothness indicators play an important role in the performance of a weighted essentially nonoscillatory (WENO) scheme. Due to having only 2 points available on each substencil, the local smoothness indicators calculated by conventional methods make the third-order WENO scheme too dissipative. In this paper, we propose a different method to calculate the indicators by using all the 3 points on the global stencil of the third-order WENO scheme. The numerical results demonstrate that the WENO scheme with the new indicators has less dissipation and better resolution than the conventional third-order WENO scheme of Jiang and Shu for both smooth and discontinuous solutions. |
| Keyword | local smoothness indicator
numerical dissipation
third-order WENO scheme
|
| DOI | 10.1002/fld.4480
|
| URL | 查看原文
|
| Indexed By | SCI
; EI
|
| Language | 英语
|
| WOS ID | WOS:000429545700001
|
| WOS Keyword | ESSENTIALLY NONOSCILLATORY SCHEMES
; HYPERBOLIC CONSERVATION-LAWS
; EFFICIENT IMPLEMENTATION
; ACCURACY
; ORDER
|
| WOS Research Area | Computer Science, Interdisciplinary Applications
; Mathematics, Interdisciplinary Applications
; Mechanics
; Physics, Fluids & Plasmas
|
| WOS Subject | Computer Science
; Mathematics
; Mechanics
; Physics
|
| Funding Organization | NSAF [U1530145]
; NKRDPC [2016YFA0401200]
; SCP [TZ2016002]
; NSFC [11272325]
|
| Classification | 二类
|
| Ranking | 1
|
| Citation statistics |
|
| Document Type | 期刊论文
|
| Identifier | http://dspace.imech.ac.cn/handle/311007/77822
|
| Collection | 高温气体动力学国家重点实验室
|
| Affiliation | 1.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing, Peoples R China
|
Recommended Citation
GB/T 7714 |
Liu SP,Shen YQ,Chen B,et al. Novel local smoothness indicators for improving the third-order WENO scheme[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2018,87,2,:51-69.
|
| APA |
刘升平,申义庆,陈北,&曾方军.(2018).Novel local smoothness indicators for improving the third-order WENO scheme.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,87(2),51-69.
|
| MLA |
刘升平,et al."Novel local smoothness indicators for improving the third-order WENO scheme".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 87.2(2018):51-69.
|
Edit Comment