A NURBS-enhanced finite volume solver for steady Euler equations

UM > Faculty of Science and Technology > DEPARTMENT OF MATHEMATICS

Residential College	false
Status	已發表Published
	A NURBS-enhanced finite volume solver for steady Euler equations
	MENG XUCHENG; HU GUANGHUI
	2018-04-15
Source Publication	Journal of Computational Physics
ISSN	0021-9991
Pages	77-92
Abstract	In [\emph{G. H. Hu and N. Y. Yi, An adaptive finite volume solver for steady Euler equations with non-oscillatory $k$-exact reconstruction, Journal of Computational Physics 312, 235-251, 2016}], a non-oscillatory $k$-exact reconstruction method is proposed towards the high-order finite volume methods for steady Euler equations, which successfully demonstrates the high-order behavior in the simulations. However, the degeneracy of the numerical accuracy of the approximate solutions along the curved boundaries can be observed obviously. In this paper, the issue is resolved by the non-uniform rational B-spline (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 on using NURBS include that 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 from other modules in the numerical framework, which makes its application very flexible. It is also shown in the paper that, with introducing more elements in the reconstruction patch for the boundary element along the outer normal direction, the convergence of the Newton iteration can be significantly improved. The numerical examples confirm the above features very well.
Keyword	Nurbs Curve Fitting Steady Euler Equations Non-oscillatory $k$-exact Reconstruction Finite Volume Method
URL	View the original
Language	英語English
The Source to Article	PB_Publication
Document Type	Journal article
Collection	DEPARTMENT OF MATHEMATICS
Corresponding Author	HU GUANGHUI
Affiliation	University of Macau
First Author Affilication	University of Macau
Corresponding Author Affilication	University 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, 77-92.
APA	MENG XUCHENG., & HU GUANGHUI (2018). A NURBS-enhanced finite volume solver for steady Euler equations. Journal of Computational Physics, 77-92.
MLA	MENG XUCHENG,et al."A NURBS-enhanced finite volume solver for steady Euler equations".Journal of Computational Physics (2018):77-92.

Files in This Item:
There are no files associated with this item.

If you have any objections to this item, please fill out the form below and the administrator will contact you as soon as possible.
Content:
Email：	*
Affiliation No.
Verification Code:	Refresh

Any comments and suggestions are welcomed.
Title:	*
Content:
Email：	*
Verification Code:	Refresh