UM
A NURBS-enhanced finite volume solver for steady Euler equations
Meng,Xucheng1; Hu,Guanghui1,2
2018-04-15
Source PublicationJournal of Computational Physics
ISSN0021-9991
Volume359Pages:77-92
AbstractIn Hu and Yi (2016) [20], a non-oscillatory k-exact reconstruction method was proposed towards the high-order finite volume methods for steady Euler equations, which successfully demonstrated the high-order behavior in the simulations. However, the degeneracy of the numerical accuracy of the approximate solutions to problems with curved boundary can be observed obviously. In this paper, the issue is resolved by introducing the Non-Uniform Rational B-splines (NURBS) method, i.e., with given discrete description of the computational domain, an approximate NURBS curve is reconstructed to provide quality quadrature information along the curved boundary. The advantages of using NURBS include i). both the numerical accuracy of the approximate solutions and convergence rate of the numerical methods are improved simultaneously, and ii). the NURBS curve generation is independent of other modules of the numerical framework, which makes its application very flexible. It is also shown in the paper that by introducing more elements along the normal direction for the reconstruction patch of the boundary element, significant improvement in the convergence to steady state can be achieved. The numerical examples confirm the above features very well.
KeywordCurve fitting Finite volume method Non-oscillatory k-exact reconstruction NURBS Steady Euler equations
DOI10.1016/j.jcp.2017.12.041
URLView the original
Language英语
Scopus ID2-s2.0-85041679514
Fulltext Access
Citation statistics
Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorHu,Guanghui
Affiliation1.Department of Mathematics,University of Macau,Macao S.A.R.,Macao
2.UM Zhuhai Research Institute,Zhuhai,China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Meng,Xucheng,Hu,Guanghui. A NURBS-enhanced finite volume solver for steady Euler equations[J]. Journal of Computational Physics,2018,359:77-92.
APA Meng,Xucheng,&Hu,Guanghui.(2018).A NURBS-enhanced finite volume solver for steady Euler equations.Journal of Computational Physics,359,77-92.
MLA Meng,Xucheng,et al."A NURBS-enhanced finite volume solver for steady Euler equations".Journal of Computational Physics 359(2018):77-92.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Meng,Xucheng]'s Articles
[Hu,Guanghui]'s Articles
Baidu academic
Similar articles in Baidu academic
[Meng,Xucheng]'s Articles
[Hu,Guanghui]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Meng,Xucheng]'s Articles
[Hu,Guanghui]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

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