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

doi:10.4208/cicp.OA-2018-0254

	A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids
	Du, Yulong 1; Yuan, Li2,3,4 ; Wang, Yahui 2,3,4
	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.