| 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 Publication | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| 2015-10 | |
| Volume | 18Issue:4Pages:901-930 |
| ISSN | 1815-2406 |
| Abstract | 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. |
| Keyword | 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 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000362974400006 |
| WOS Keyword | 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 Research Area | Physics |
| WOS Subject | Physics, Mathematical |
| Funding Organization | This work is supported in part by JSPS KAKENHI (24560187, 15H03916). |
| Department | LHD激波与爆轰物理 |
| Classification | 二类/Q1 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/58396 |
| Collection | 高温气体动力学国家重点实验室 |
| Corresponding Author | Xiao, 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. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| POF15 Numerical stud（1388KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment