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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; Xiao, F (reprint author), Tokyo Inst Technol, Dept Energy Sci, Midori Ku, 4259 Nagatsuta, Yokohama, Kanagawa 2268502, Japan.
Source PublicationCOMMUNICATIONS IN COMPUTATIONAL PHYSICS
2015-10
Volume18Issue:4Pages:901-930
ISSN1815-2406
AbstractThis 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.
KeywordMulti-moment Finite Volume Method Weno Flux Reconstruction Compressible Flow Conservative Method Oscillation-suppressing
DOI10.4208/cicp.081214.250515s
URL查看原文
Indexed BySCI
Language英语
WOS IDWOS:000362974400006
WOS KeywordESSENTIALLY 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 Research AreaPhysics
WOS SubjectPhysics, Mathematical
Funding OrganizationThis work is supported in part by JSPS KAKENHI (24560187, 15H03916).
DepartmentLHD激波与爆轰物理
Classification二类/Q1
Citation statistics
Cited Times:10[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/58396
Collection高温气体动力学国家重点实验室
Corresponding AuthorXiao, F (reprint author), Tokyo Inst Technol, Dept Energy Sci, Midori Ku, 4259 Nagatsuta, Yokohama, Kanagawa 2268502, Japan.
Recommended Citation
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.
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