A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter

doi:10.4208/cicp.081214.250515s

	A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter
	Sun ZY; Teng HH(滕宏辉); Xiao F; Xiao, F (reprint author), Tokyo Inst Technol, Dept Energy Sci, Midori Ku, 4259 Nagatsuta, Yokohama, Kanagawa 2268502, Japan.
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
	2015-10
卷号	18 期号:4 页码:901-930
ISSN	1815-2406
摘要	This paper presents a new and better suited formulation to implement the limiting projection to high-order schemes that make use of high-order local reconstructions for hyperbolic conservation laws. The scheme, so-called MCV-WENO4 (multimoment Constrained finite Volume with WENO limiter of 4th order) method, is an extension of the MCV method of Ii & Xiao (2009) by adding the 1st order derivative (gradient or slope) at the cell center as an additional constraint for the cell-wise local reconstruction. The gradient is computed from a limiting projection using the wrii7,No (weighted essentially non-oscillatory) reconstruction that is built from the nodal values at 5 solution points within 3 neighboring cells. Different from other existing methods where only the cell-average value is used in the WINO reconstruction, the present method takes account of the solution structure within each mesh cell, and thus minimizes the stencil for reconstruction. The resulting scheme has 4th-order accuracy and is of significant advantage in algorithmic simplicity and computational efficiency. Numerical results of one and two dimensional benchmark tests for scalar and Euler conservation laws are shown to verify the accuracy and oscillation-less property of the scheme.
关键词	Multi-moment Finite Volume Method Weno Flux Reconstruction Compressible Flow Conservative Method Oscillation-suppressing
DOI	10.4208/cicp.081214.250515s
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000362974400006
关键词[WOS]	ESSENTIALLY NONOSCILLATORY SCHEMES ; NAVIER-STOKES EQUATIONS ; OSCILLATION PREVENTING SCHEME ; DISCONTINUOUS GALERKIN METHOD ; HYPERBOLIC CONSERVATION-LAWS ; SHOCK-CAPTURING SCHEMES ; UNSTRUCTURED GRIDS ; ELEMENT-METHOD ; EFFICIENT IMPLEMENTATION ; ADVECTION EQUATION
WOS研究方向	Physics
WOS类目	Physics, Mathematical
项目资助者	This work is supported in part by JSPS KAKENHI (24560187, 15H03916).
课题组名称	LHD激波与爆轰物理
论文分区	二类/Q1
引用统计	被引频次：14[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/58396
专题	高温气体动力学国家重点实验室
通讯作者	Xiao, F (reprint author), Tokyo Inst Technol, Dept Energy Sci, Midori Ku, 4259 Nagatsuta, Yokohama, Kanagawa 2268502, Japan.
推荐引用方式 GB/T 7714	Sun ZY,Teng HH,Xiao F,et al. A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2015,18,4,:901-930.
APA	Sun ZY,Teng HH,Xiao F,&Xiao, F .(2015).A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,18(4),901-930.
MLA	Sun ZY,et al."A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 18.4(2015):901-930.

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
POF15 Numerical stud（1388KB）	期刊论文	出版稿	开放获取	CC BY-NC-SA	浏览下载