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An adaptive finite volume method for 2D steady Euler equations with WENO reconstruction
Hu G.
2013-11-01
Source PublicationJournal of Computational Physics
ISSN00219991 10902716
Volume252Pages:591-605
AbstractAn adaptive finite volume method for 2D steady Euler equations on unstructured grids is proposed. The framework of the finite volume method for the steady Euler equations follows the one in the paper [G.H. Hu, R. Li, and T. Tang, A robust WENO type finite volume solver for steady Euler equations on unstructured grids, Commun. Comput. Phys. 9 (2011) 627-648]. In this paper, we introduce the mesh adaptive methods to improve the above numerical method. The features of this work include: (i) different reconstruction stencils for WENO reconstruction are discussed in detail, including their performance on the convergence of steady state solutions and on the application of h-adaptive methods, and (ii) an effective indicator for generating quality nonuniform mesh is proposed, which is based on the entropy production. The improvement of the numerical methods is demonstrated by plenty of numerical examples. © 2013 Elsevier Inc.
KeywordAdaptive methods Finite volume methods Steady Euler equations Unstructured grids WENO reconstruction
DOI10.1016/j.jcp.2013.07.006
URLView the original
Language英語
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Cited Times [WOS]:14   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
AffiliationUniversidade de Macau
Recommended Citation
GB/T 7714
Hu G.. An adaptive finite volume method for 2D steady Euler equations with WENO reconstruction[J]. Journal of Computational Physics,2013,252:591-605.
APA Hu G..(2013).An adaptive finite volume method for 2D steady Euler equations with WENO reconstruction.Journal of Computational Physics,252,591-605.
MLA Hu G.."An adaptive finite volume method for 2D steady Euler equations with WENO reconstruction".Journal of Computational Physics 252(2013):591-605.
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