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A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

文献类型：期刊论文

作者Du, Yulong3; Yuan, Li1,2,4; Wang, Yahui1,2,4
刊名COMMUNICATIONS IN COMPUTATIONAL PHYSICS
出版日期2019-09-01
卷号26期号:3页码:768-784
关键词Finite volume method high-order accuracy dimension-by-dimension reconstruction Cartesian grid
ISSN号1815-2406
DOI10.4208/cicp.OA-2018-0254
英文摘要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.
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
语种英语
WOS记录号WOS:000466102300007
出版者GLOBAL SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/34733]  
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.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China
3.Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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