| 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.
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| Source Publication | JOURNAL OF COMPUTATIONAL PHYSICS
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| 2015-01-15 | |
| Volume | 281Pages:375-402 |
| ISSN | 0021-9991 |
| Abstract | 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. |
| Keyword | Space-time Conservation Element And Solution Element (Ce/se) Method High-order Accuracy Hybrid Meshes Unstructured Meshes |
| Subject Area | Computer Science ; Physics |
| DOI | 10.1016/j.jcp.2014.10.023 |
| URL | 查看原文 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000346429300022 |
| Funding Organization | The authors would like to thank the National Natural Science Foundation of China, for financially supporting this research under Contracts 11332002 and 11372265. |
| 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/311007/49585 |
| Collection | 高温气体动力学国家重点实验室 |
| Corresponding Author | Shen, 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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| IMCAS-J2015-012.pdf（6176KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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