KMS Of Academy of mathematics and systems sciences, CAS
A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids | |
Du, Yulong1; Yuan, Li2,3,4; Wang, Yahui2,3,4 | |
2019-09-01 | |
发表期刊 | COMMUNICATIONS IN COMPUTATIONAL PHYSICS |
ISSN | 1815-2406 |
卷号 | 26期号:3页码:768-784 |
摘要 | The modified dimension-by-dimension finite volume (FV) WENO method on Cartesian grids proposed by Buchmuller and Helzel can retain the full order of accuracy of the one-dimensional WENO reconstruction and requires only one flux computation per interface. The high-order accurate conversion between face-averaged values and face-center point values is the main ingredient of this method. In this paper, we derive sixth-order accurate conversion formulas on three-dimensional Cartesian grids. It is shown that the resulting modified FV WENO method is efficient and high-order accurate when applied to smooth nonlinear multidimensional problems, and is robust for calculating non-smooth nonlinear problems with strong shocks. |
关键词 | Finite volume method high-order accuracy dimension-by-dimension reconstruction Cartesian grid |
DOI | 10.4208/cicp.OA-2018-0254 |
语种 | 英语 |
资助项目 | Natural Science Foundation of China[11321061] ; 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研究方向 | Physics |
WOS类目 | Physics, Mathematical |
WOS记录号 | WOS:000466102300007 |
出版者 | GLOBAL SCIENCE PRESS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/34734 |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Yuan, Li |
作者单位 | 1.Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Du, Yulong,Yuan, Li,Wang, Yahui. A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2019,26(3):768-784. |
APA | Du, Yulong,Yuan, Li,&Wang, Yahui.(2019).A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,26(3),768-784. |
MLA | Du, Yulong,et al."A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 26.3(2019):768-784. |
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