High Order Multi-Moment Constrained Finite Volume Method. Part I: Basic Formulation
文献类型：期刊论文
| 作者 | Satoshi I; Xiao F(肖锋) ; Xiao F
|
| 刊名 | Journal of Computational Physics
 |
| 出版日期 | 2009 |
| 卷号 | 228期号:10页码:3669-3707 |
| 通讯作者邮箱 | xiao@imech.ac.cn |
| 关键词 | Finite Volume Method High-Order Accuracy Multi-Moment Hyperbolic Conservation Laws Compact Stencil Local Reconstruction Spectral Difference Method Hyperbolic Conservation-Laws One-Dimensional Systems Unstructured Grids Ii Shallow-Water Model Element Method Efficient Implementation Incompressible Flows Unified Formulation Riemann Solvers |
| ISSN号 | 0021-9991 |
| 通讯作者 | Xiao F |
| 中文摘要 | A new high-order finite volume method based on local reconstruction is presented in this paper. The method, so-called the multi-moment constrained finite volume (MCV) method, uses the point values defined within single cell at equally spaced points as the model variables (or unknowns). The time evolution equations used to update the unknowns are derived from a set of constraint conditions imposed on multi kinds of moments, i.e. the cell-averaged value and the point-wise value of the state variable and its derivatives. The finite volume constraint on the cell-average guarantees the numerical conservativeness of the method. Most constraint conditions are imposed on the cell boundaries, where the numerical flux and its derivatives are solved as general Riemann problems. A multi-moment constrained Lagrange interpolation reconstruction for the demanded order of accuracy is constructed over single cell and converts the evolution equations of the moments to those of the unknowns. The presented method provides a general framework to construct efficient schemes of high orders. The basic formulations for hyperbolic conservation laws in 1- and 2D structured grids are detailed with the numerical results of widely used benchmark tests. (C) 2009 Elsevier Inc. All rights reserved. |
| 类目[WOS] | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| 研究领域[WOS] | Computer Science ; Physics |
| 关键词[WOS] | SPECTRAL DIFFERENCE METHOD ; HYPERBOLIC CONSERVATION-LAWS ; ONE-DIMENSIONAL SYSTEMS ; UNSTRUCTURED GRIDS II ; SHALLOW-WATER MODEL ; ELEMENT METHOD ; EFFICIENT IMPLEMENTATION ; INCOMPRESSIBLE FLOWS ; UNIFIED FORMULATION ; RIEMANN SOLVERS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000265460600009 |
| 公开日期 | 2009-08-03 ; 2009-10-09 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/26666]  |
| 专题 | 力学研究所_环境力学重点实验室(2009-2011) |
| 通讯作者 | Xiao F |
| 推荐引用方式 GB/T 7714 | Satoshi I,Xiao F,Xiao F. High Order Multi-Moment Constrained Finite Volume Method. Part I: Basic Formulation[J]. Journal of Computational Physics,2009,228(10):3669-3707. |
| APA | Satoshi I,肖锋,&Xiao F.(2009).High Order Multi-Moment Constrained Finite Volume Method. Part I: Basic Formulation.Journal of Computational Physics,228(10),3669-3707. |
| MLA | Satoshi I,et al."High Order Multi-Moment Constrained Finite Volume Method. Part I: Basic Formulation".Journal of Computational Physics 228.10(2009):3669-3707. |
入库方式： OAI收割
来源：力学研究所
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