Computation of Dendritic Growth with Level Set Model Using a Multi-Mesh Adaptive Finite Element Method
文献类型：期刊论文
| 作者 | Di, Yana1 ; Li, Ruo2,3
|
| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
 |
| 出版日期 | 2009-06-01 |
| 卷号 | 39期号:3页码:441-453 |
| 关键词 | Multi-mesh Local refinement Adaptive finite element Dendritic growth Level set |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-009-9275-3 |
| 英文摘要 | In this paper, we propose an efficient multi-mesh h-adaptive algorithm to solve the level set model of dendritic growth. Since the level set function is used to provide implicitly the location of the phase interface, it is resolved by an h-adaptive mesh with refinement only around the phase interface, while the thermal field is approximated on another h-adaptive mesh. The proposed method not only can enjoy the merits of the level set function to handle complex evolution of the free boundary, but also can achieve the similar accuracy as the front tracking method for the sharp interface model with about the same degrees of freedom. The algorithm is applied to the simulation of the dendritic crystallization in a pure undercooled melt. The accuracy is verified by comparing the computational dendrite tip velocity with solvability theory. Numerical simulations, both in 2D and 3D cases, are presented to demonstrate its capacity and efficiency. |
| 资助项目 | National Science Foundation of China[10701075] ; National Science Foundation of China[10301003] ; Foundation for the Author of National Excellent Doctoral Dissertation of PRC ; National Basic Research Program of China[2005CB321701] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000265686300005 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8224]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Li, Ruo |
| 作者单位 | 1.Chinese Acad Sci, LSEC, Inst Syst Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Peking Univ, CAPT, LMAM, Beijing 100871, Peoples R China |
| 推荐引用方式 GB/T 7714 | Di, Yana,Li, Ruo. Computation of Dendritic Growth with Level Set Model Using a Multi-Mesh Adaptive Finite Element Method[J]. JOURNAL OF SCIENTIFIC COMPUTING,2009,39(3):441-453. |
| APA | Di, Yana,&Li, Ruo.(2009).Computation of Dendritic Growth with Level Set Model Using a Multi-Mesh Adaptive Finite Element Method.JOURNAL OF SCIENTIFIC COMPUTING,39(3),441-453. |
| MLA | Di, Yana,et al."Computation of Dendritic Growth with Level Set Model Using a Multi-Mesh Adaptive Finite Element Method".JOURNAL OF SCIENTIFIC COMPUTING 39.3(2009):441-453. |
入库方式： OAI收割
来源：数学与系统科学研究院
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