| 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 Publication | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 2013-03-01 | |
| Volume | 236Pages:477-492 |
| ISSN | 0021-9991 |
| Abstract | 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. |
| Keyword | Discontinuous Galerkin Method Weno Reconstruction Unstructured Grids |
| Subject Area | 计算流体力学 |
| URL | 查看原文 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000314801500029 |
| Funding Organization | DOE Office of Nuclear Energy's Nuclear Engineering University Program; fundamental research program of DTRA [HDTR1-10-1-0.123] |
| Department | LHD激波与爆轰物理 |
| Classification | 一类 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/47104 |
| Collection | 高温气体动力学国家重点实验室 |
| Corresponding Author | Luo, 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 | |||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment