IMECH-IR  > 高温气体动力学国家重点实验室
A multi-moment finite volume formulation for shallow water equations on unstructured mesh
Akoh R; Ii S; Xiao F(肖锋); Xiao F
Source PublicationJournal of Computational Physics
2010
Volume229Issue:12Pages:4567-4590
ISSN0021-9991
AbstractA novel and accurate finite volume method has been presented to solve the shallow water equations on unstructured grid in plane geometry. In addition to the volume integrated average (VIA moment) for each mesh cell, the point values (PV moment) defined on cell boundary are also treated as the model variables. The volume integrated average is updated via a finite volume formulation, and thus is numerically conserved, while the point value is computed by a point-wise Riemann solver. The cell-wise local interpolation reconstruction is built based on both the VIA and the PV moments, which results in a scheme of almost third order accuracy. Efforts have also been made to formulate the source term of the bottom topography in a way to balance the numerical flux function to satisfy the so-called C-property. The proposed numerical model is validated by numerical tests in comparison with other methods reported in the literature. (C) 2010 Elsevier Inc. All rights reserved.
DOI10.1016/j.jcp.2010.02.023
URL查看原文
Indexed BySCI
Language英语
WOS IDWOS:000277944400009
WOS KeywordDISCONTINUOUS GALERKIN METHOD ; SHOCK-CAPTURING SCHEMES ; SOURCE TERMS ; INCOMPRESSIBLE FLOWS ; UNIFIED FORMULATION ; WENO SCHEMES ; ORDER ; MODEL ; SIMULATIONS ; IMPLEMENTATION
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
Citation statistics
Cited Times:17[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/43567
Collection高温气体动力学国家重点实验室
Corresponding AuthorXiao F
Recommended Citation
GB/T 7714
Akoh R,Ii S,Xiao F,et al. A multi-moment finite volume formulation for shallow water equations on unstructured mesh[J]. Journal of Computational Physics,2010,229(12):4567-4590.
APA Akoh R,Ii S,肖锋,&Xiao F.(2010).A multi-moment finite volume formulation for shallow water equations on unstructured mesh.Journal of Computational Physics,229(12),4567-4590.
MLA Akoh R,et al."A multi-moment finite volume formulation for shallow water equations on unstructured mesh".Journal of Computational Physics 229.12(2010):4567-4590.
Files in This Item: Download All
File Name/Size DocType Version Access License
086.pdf(6057KB) 开放获取--View Download
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Akoh R]'s Articles
[Ii S]'s Articles
[肖锋]'s Articles
Baidu academic
Similar articles in Baidu academic
[Akoh R]'s Articles
[Ii S]'s Articles
[肖锋]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Akoh R]'s Articles
[Ii S]'s Articles
[肖锋]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: 086.pdf
Format: Adobe PDF
This file does not support browsing at this time
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.