IMECH-IR  > 高温气体动力学国家重点实验室
A reconstructed discontinuous Galerkin method based on a Hierarchical WENO reconstruction for compressible flows on tetrahedral grids
Luo H; Xia YD; Spiegel S; Nourgaliev R; Jiang ZL(姜宗林); Luo, H (reprint author), N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA.
Source PublicationJOURNAL OF COMPUTATIONAL PHYSICS
2013-03-01
Volume236Pages:477-492
ISSN0021-9991
AbstractA reconstructed discontinuous Galerkin (RDG) method based on a hierarchical WENO reconstruction, termed HWENO (P1P2) in this paper, designed not only to enhance the accuracy of discontinuous Galerkin methods but also to ensure the nonlinear stability of the RDG method, is presented for solving the compressible Euler equations on tetrahedral grids. In this HWENO (P1P2) method, a quadratic polynomial solution (P-2) is first reconstructed using a Hermite WENO reconstruction from the underlying linear polynomial (P-1) discontinuous Galerkin solution to ensure the linear stability of the RDG method and to improve the efficiency of the underlying DG method. By taking advantage of handily available and yet invaluable information, namely the derivatives in the DG formulation, the stencils used in the reconstruction involve only von Neumann neighborhood (adjacent face-neighboring cells) and thus are compact. The first derivatives of the quadratic polynomial solution are then reconstructed using a WENO reconstruction in order to eliminate spurious oscillations in the vicinity of strong discontinuities, thus ensuring the nonlinear stability of the RDG method. The developed HWENO (P1P2) method is used to compute a variety of flow problems on tetrahedral meshes to demonstrate its accuracy, robustness, and non-oscillatory property. The numerical experiments indicate that the HWENO (P1P2) method is able to capture shock waves within one cell without any spurious oscillations, and achieve the designed third-order of accuracy: one order accuracy higher than the underlying DG method.
KeywordDiscontinuous Galerkin Method Weno Reconstruction Unstructured Grids
Subject Area计算流体力学
URL查看原文
Indexed BySCI
Language英语
WOS IDWOS:000314801500029
Funding OrganizationDOE Office of Nuclear Energy's Nuclear Engineering University Program; fundamental research program of DTRA [HDTR1-10-1-0.123]
DepartmentLHD激波与爆轰物理
Classification一类
Citation statistics
Cited Times:41[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/47104
Collection高温气体动力学国家重点实验室
Corresponding AuthorLuo, H (reprint author), N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA.
Recommended Citation
GB/T 7714
Luo H,Xia YD,Spiegel S,et al. A reconstructed discontinuous Galerkin method based on a Hierarchical WENO reconstruction for compressible flows on tetrahedral grids[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2013,236:477-492.
APA Luo H,Xia YD,Spiegel S,Nourgaliev R,Jiang ZL,&Luo, H .(2013).A reconstructed discontinuous Galerkin method based on a Hierarchical WENO reconstruction for compressible flows on tetrahedral grids.JOURNAL OF COMPUTATIONAL PHYSICS,236,477-492.
MLA Luo H,et al."A reconstructed discontinuous Galerkin method based on a Hierarchical WENO reconstruction for compressible flows on tetrahedral grids".JOURNAL OF COMPUTATIONAL PHYSICS 236(2013):477-492.
Files in This Item: Download All
File Name/Size DocType Version Access License
IMCAS-J2013-058.pdf(2739KB) 开放获取--View Download
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Luo H]'s Articles
[Xia YD]'s Articles
[Spiegel S]'s Articles
Baidu academic
Similar articles in Baidu academic
[Luo H]'s Articles
[Xia YD]'s Articles
[Spiegel S]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Luo H]'s Articles
[Xia YD]'s Articles
[Spiegel S]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: IMCAS-J2013-058.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.