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Robust high-order space-time conservative schemes for solving conservation laws on hybrid meshes
Shen H; Wen CY; Liu KX; Zhang DL(张德良); Shen, H (reprint author), Hong Kong Polytech Univ, Dept Mech Engn, Kowloon, Hong Kong, Peoples R China.
Source PublicationJOURNAL OF COMPUTATIONAL PHYSICS
2015-01-15
Volume281Pages:375-402
ISSN0021-9991
AbstractIn 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.
KeywordSpace-time Conservation Element And Solution Element (Ce/se) Method High-order Accuracy Hybrid Meshes Unstructured Meshes
Subject AreaComputer Science ; Physics
DOI10.1016/j.jcp.2014.10.023
URL查看原文
Indexed BySCI
Language英语
WOS IDWOS:000346429300022
Funding OrganizationThe authors would like to thank the National Natural Science Foundation of China, for financially supporting this research under Contracts 11332002 and 11372265.
DepartmentLHD激波与爆轰物理
Classification一类
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/49586
Collection高温气体动力学国家重点实验室
Corresponding AuthorShen, H (reprint author), Hong Kong Polytech Univ, Dept Mech Engn, Kowloon, Hong Kong, Peoples R China.
Recommended Citation
GB/T 7714
Shen H,Wen CY,Liu KX,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 Shen H,Wen CY,Liu KX,Zhang DL,&Shen, H .(2015).Robust high-order space-time conservative schemes for solving conservation laws on hybrid meshes.JOURNAL OF COMPUTATIONAL PHYSICS,281,375-402.
MLA Shen H,et al."Robust high-order space-time conservative schemes for solving conservation laws on hybrid meshes".JOURNAL OF COMPUTATIONAL PHYSICS 281(2015):375-402.
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