KMS Of Academy of mathematics and systems sciences, CAS
| Modified Stencil Approximations for Fifth-Order Weighted Essentially Non-oscillatory Schemes | |
| Wang, Yahui1,2,3; Du, Yulong4; Zhao, Kunlei1,2,3; Yuan, Li1,2,3 | |
| 2019-11-01 | |
| Source Publication | JOURNAL OF SCIENTIFIC COMPUTING
 |
| ISSN | 0885-7474 |
| Volume | 81Issue:2Pages:898-922 |
| Abstract | In this paper, a modified fifth-order weighted essentially non-oscillatory (WENO) finite difference scheme is presented. The quadratic polynomial approximation of numerical flux on each candidate stencil of the traditional WENO-JS scheme is modified by adding a form of cubic terms such that the resulting stencil approximation achieves fourth-order accuracy. And the corresponding smoothness indicators are calculated. The modified candidate fluxes and local smoothness indicators, when used in the WENO-JS scheme, can make the resulting new scheme (called WENO-MS) achieve fifth-order convergence in smooth regions including first-order critical points. A series of one- and two-dimensional numerical examples are presented to demonstrate the performance of the new scheme. The numerical results show that the proposed WENO-MS scheme provides a comparable or higher resolution of fine structures compared with the WENO-M, WENO-Z and P-WENO schemes, while it increases only 7% of CPU time compared with the traditional WENO-JS scheme. |
| Keyword | WENO scheme Stencil approximation order Smoothness indicator Hyperbolic conservation law Euler equation |
| DOI | 10.1007/s10915-019-01042-w |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | Natural Science Foundation of China[11261160486] ; Natural Science Foundation of China[91641107] ; Natural Science Foundation of China[91852116] ; Fundamental Research of Civil Aircraft[MJ-F-2012-04] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000491440200011 |
| Publisher | SPRINGER/PLENUM PUBLISHERS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50706 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yuan, Li |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 4.Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China |
| Recommended Citation GB/T 7714 | Wang, Yahui,Du, Yulong,Zhao, Kunlei,et al. Modified Stencil Approximations for Fifth-Order Weighted Essentially Non-oscillatory Schemes[J]. JOURNAL OF SCIENTIFIC COMPUTING,2019,81(2):898-922. |
| APA | Wang, Yahui,Du, Yulong,Zhao, Kunlei,&Yuan, Li.(2019).Modified Stencil Approximations for Fifth-Order Weighted Essentially Non-oscillatory Schemes.JOURNAL OF SCIENTIFIC COMPUTING,81(2),898-922. |
| MLA | Wang, Yahui,et al."Modified Stencil Approximations for Fifth-Order Weighted Essentially Non-oscillatory Schemes".JOURNAL OF SCIENTIFIC COMPUTING 81.2(2019):898-922. |
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