Robust high-order space-time conservative schemes for solving conservation laws on hybrid meshes

doi:10.1016/j.jcp.2014.10.023

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	Robust high-order space-time conservative schemes for solving conservation laws on hybrid meshes
	Liu KX; Shen H; Shen, H (reprint author), Hong Kong Polytech Univ, Dept Mech Engn, Kowloon, Hong Kong, Peoples R China.; Zhang DL(张德良); Wen CY
刊名	JOURNAL OF COMPUTATIONAL PHYSICS
	2015-01-15
卷号	281 页码:375-402
关键词	Space-time Conservation Element And Solution Element (Ce/se) Method High-order Accuracy Hybrid Meshes Unstructured Meshes
ISSN号	0021-9991
DOI	10.1016/j.jcp.2014.10.023
产权排序	[Shen, Hua; Wen, Chih-Yung] Hong Kong Polytech Univ, Dept Mech Engn, Kowloon, Hong Kong, Peoples R China; [Shen, Hua; Liu, Kaixin] Peking Univ, Coll Engn, LTCS, Beijing 100871, Peoples R China; [Shen, Hua; Liu, Kaixin] Peking Univ, Coll Engn, Dept Mech & Aerosp Engn, Beijing 100871, Peoples R China; [Liu, Kaixin] Peking Univ, Ctr Appl Phys & Technol, Beijing 100871, Peoples R China; [Zhang, Deliang] Chinese Acad Sci, Inst Mech, LHD, Beijing 100080, Peoples R China
英文摘要	In this paper, the second-order space-time conservation element and solution element (CE/SE) method proposed by Chang (1995) [3] is implemented on hybrid meshes for solving conservation laws. In addition, the present scheme has been extended to high-order versions including third and fourth order. Most methodologies of proposed schemes are consistent with that of the original CE/SE method, including: (i) a unified treatment of space and time (thereby ensuring good conservation in both space and time); (ii) a highly compact node stencil (the solution node is calculated using only the neighboring mesh nodes) regardless of the order of accuracy at the cost of storing all derivatives. A staggered time marching strategy is adopted and the solutions are updated alternatively between cell centers and vertexes. To construct explicit high-order schemes, second and third-order derivatives are calculated by a modified finite-difference/weighted-average procedure which is different from that used to calculate the first-order derivatives. The present schemes can be implemented on a wide variety of meshes, including triangular, quadrilateral and hybrid (consisting of both triangular and quadrilateral elements). Beyond that, it can be easily extended to arbitrary-order schemes and arbitrary shape of polygonal elements by using the present methodologies. A series of common benchmark examples are used to confirm the accuracy and robustness of the proposed schemes. (C) 2014 Elsevier Inc. All rights reserved.
学科主题	Computer Science ; Physics
分类号	一类
URL标识	查看原文
语种	英语
WOS记录号	WOS:000346429300022
资助机构	The authors would like to thank the National Natural Science Foundation of China, for financially supporting this research under Contracts 11332002 and 11372265.
公开日期	2015-03-17
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/49586]
专题	力学研究所_高温气体动力学国家重点实验室
通讯作者	Shen, H (reprint author), Hong Kong Polytech Univ, Dept Mech Engn, Kowloon, Hong Kong, Peoples R China.
推荐引用方式 GB/T 7714	Liu KX,Shen H,Shen, H ,et al. Robust high-order space-time conservative schemes for solving conservation laws on hybrid meshes[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2015,281:375-402.
APA	Liu KX,Shen H,Shen, H ,Zhang DL,&Wen CY.(2015).Robust high-order space-time conservative schemes for solving conservation laws on hybrid meshes.JOURNAL OF COMPUTATIONAL PHYSICS,281,375-402.
MLA	Liu KX,et al."Robust high-order space-time conservative schemes for solving conservation laws on hybrid meshes".JOURNAL OF COMPUTATIONAL PHYSICS 281(2015):375-402.