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A NURBS-enhanced finite volume solver for steady Euler equations
Meng, Xucheng1; Hu, Guanghui1,2

In 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. (C) 2018 Elsevier Inc. All rights reserved.

KeywordNurbs Curve Fitting Steady Euler Equations Non-oscillatory K-exact Reconstruction Finite Volume Method
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Indexed BySCIE
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000427396200004
The Source to ArticleWOS
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Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Affiliation1.Univ Macau, Dept Math, Macau, Peoples R China
2.UM Zhuhai Res Inst, Zhuhai, Guangdong, Peoples R China
First Author AffilicationUniversity of Macau
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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.
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