中国科学院力学研究所机构知识库
Advanced  
IMECH-IR  > 高温气体动力学国家重点实验室  > 期刊论文
Title: A reconstructed discontinuous Galerkin method based on a Hierarchical WENO reconstruction for compressible flows on tetrahedral grids
Author: Luo H; Xia YD; Spiegel S; Nourgaliev R; Jiang ZL(姜宗林)
Source: JOURNAL OF COMPUTATIONAL PHYSICS
Issued Date: 2013-03-01
Volume: 236, Pages:477-492
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
Language: 英语
Indexed Type: SCI
Corresponding Author: Luo, H (reprint author), N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA.
Correspondent Email: hong_luo@ncsu.edu
Related URLs: 查看原文
WOS ID: WOS:000314801500029
ISSN: 0021-9991
Rank: [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
Subject: 流体力学::计算流体力学
Department: LHD激波与爆轰物理
Classification: 一类
Citation statistics:
Content Type: 期刊论文
URI: http://dspace.imech.ac.cn/handle/311007/47104
Appears in Collections:高温气体动力学国家重点实验室_期刊论文

Files in This Item: Download All
File Name/ File Size Content Type Version Access License
IMCAS-J2013-058.pdf(2739KB)----开放获取--View Download

Recommended Citation:
Luo H;Xia YD;Spiegel S;Nourgaliev R;姜宗林.A reconstructed discontinuous Galerkin method based on a Hierarchical WENO reconstruction for compressible flows on tetrahedral grids,JOURNAL OF COMPUTATIONAL PHYSICS,2013,236():477-492
Service
Recommend this item
Sava as my favorate item
Show this item's statistics
Export Endnote File
Google Scholar
Similar articles in Google Scholar
[Luo H]'s Articles
[Xia YD]'s Articles
[Spiegel S]'s Articles
CSDL cross search
Similar articles in CSDL Cross Search
[Luo H]‘s Articles
[Xia YD]‘s Articles
[Spiegel S]‘s Articles
Related Copyright Policies
Null
Social Bookmarking
Add to CiteULike Add to Connotea Add to Del.icio.us Add to Digg Add to Reddit
文件名: IMCAS-J2013-058.pdf
格式: Adobe PDF
此文件暂不支持浏览
所有评论 (0)
暂无评论
 
评注功能仅针对注册用户开放,请您登录
您对该条目有什么异议,请填写以下表单,管理员会尽快联系您。
内 容:
Email:  *
单位:
验证码:   刷新
您在IR的使用过程中有什么好的想法或者建议可以反馈给我们。
标 题:
 *
内 容:
Email:  *
验证码:   刷新

Items in IR are protected by copyright, with all rights reserved, unless otherwise indicated.

 

 

Valid XHTML 1.0!
Copyright © 2007-2017  中国科学院力学研究所 - Feedback
Powered by CSpace