High Order Multi-Moment Constrained Finite Volume Method. Part I: Basic Formulation

doi:10.1016/j.jcp.2009.02.009

IMECH-IR > 环境力学重点实验室(2009-2011)

	High Order Multi-Moment Constrained Finite Volume Method. Part I: Basic Formulation
	Satoshi I; Xiao F(肖锋); Xiao F
发表期刊	Journal of Computational Physics
	2009
卷号	228 期号:10 页码:3669-3707
ISSN	0021-9991
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.
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
DOI	10.1016/j.jcp.2009.02.009
收录类别	SCI
语种	英语
WOS记录号	WOS:000265460600009
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
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
引用统计	被引频次：50[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/311007/26666
专题	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.

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