A reconstructed discontinuous Galerkin method based on a Hierarchical WENO reconstruction for compressible flows on tetrahedral grids

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	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)
刊名	JOURNAL OF COMPUTATIONAL PHYSICS
	2013-03-01
通讯作者邮箱	hong_luo@ncsu.edu
卷号	236 页码:477-492
关键词	Discontinuous Galerkin method WENO reconstruction Unstructured grids
ISSN号	0021-9991
通讯作者	Luo, H (reprint author), N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA.
产权排序	[Luo, Hong; Xia, Yidong; Spiegel, Seth] N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA; [Nourgaliev, Robert] Idaho Natl Lab, Idaho Falls, ID 83415 USA; [Jiang, Zonglin] Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China
合作状况	国际
中文摘要	A 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.
学科主题	计算流体力学
分类号	一类
收录类别	SCI
资助信息	DOE Office of Nuclear Energy's Nuclear Engineering University Program; fundamental research program of DTRA [HDTR1-10-1-0.123]
原文出处	http://dx.doi.org/10.1016/j.jcp.2012.11.026
语种	英语
WOS记录号	WOS:000314801500029
公开日期	2013-03-25
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/47104]
专题	力学研究所_高温气体动力学国家重点实验室
推荐引用方式 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.(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.