Computation of Dendritic Growth with Level Set Model Using a Multi-Mesh Adaptive Finite Element Method

doi:10.1007/s10915-009-9275-3

	Computation of Dendritic Growth with Level Set Model Using a Multi-Mesh Adaptive Finite Element Method
	Di, Yana1 ; Li, Ruo 2,3
	2009-06-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	39 期号:3 页码:441-453
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.
关键词	Multi-mesh Local refinement Adaptive finite element Dendritic growth Level set
DOI	10.1007/s10915-009-9275-3
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000265686300005
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8225
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.