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

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	A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter
	Sun ZY; Teng HH(滕宏辉); Xiao F
刊名	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
	2015-10
通讯作者邮箱	sun.z.ab@m.titech.ac.jp ; hhteng@imech.ac.cn ; xiao@es.titech.ac.jp
卷号	18 期号:4 页码:901-930
关键词	Multi-moment finite volume method WENO flux reconstruction compressible flow conservative method oscillation-suppressing
ISSN号	1815-2406
通讯作者	Xiao, F (reprint author), Tokyo Inst Technol, Dept Energy Sci, Midori Ku, 4259 Nagatsuta, Yokohama, Kanagawa 2268502, Japan.
产权排序	[Sun, Ziyao; Xiao, Feng] Tokyo Inst Technol, Dept Energy Sci, Midori Ku, Yokohama, Kanagawa 2268502, Japan; [Teng, Honghui] Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China
中文摘要	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.
分类号	二类/Q1
类目[WOS]	Physics, Mathematical
研究领域[WOS]	Physics
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
收录类别	SCI
原文出处	http://dx.doi.org/10.4208/cicp.081214.250515s
语种	英语
WOS记录号	WOS:000362974400006
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/58396]
专题	力学研究所_高温气体动力学国家重点实验室
推荐引用方式 GB/T 7714	Sun ZY,Teng HH,Xiao F. 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.(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.