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	Efficient computation of dendritic growth with r-adaptive finite element methods
	Wang, Heyu ; Li, Ruo ; Tang, Tao
	2008
关键词	moving mesh method phase-field model finite element method dendritic growth PHASE-FIELD EQUATIONS MOVING MESH METHOD SINGULAR PROBLEMS SOLIDIFICATION DIMENSIONS REFINEMENT SIMULATION
英文摘要	This paper deals with the application of a moving grid method to the solution of a phase-field model for dendritic growth in two- and three-dimensions. A mesh is found as the solution of an optimization problem that automatically includes the boundary conditions and is solved using a multi-grid approach. The governing equations are discretized in space by linear finite elements and a split time-level scheme is used to numerically integrate in time. One novel aspect of the method is the choice of a regularized monitor function. The moving grid method enables us to obtain accurate numerical solutions with much less degree of freedoms. It is demonstrated numerically that the tip velocity obtained by our method is in good agreement with the previously published results. (c) 2008 Elsevier Inc. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000256502100004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 16; ARTICLE; 12; 5984-6000; 227
语种	英语
出处	SCI
出版者	计算物理学杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/248960]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, Heyu,Li, Ruo,Tang, Tao. Efficient computation of dendritic growth with r-adaptive finite element methods. 2008-01-01.

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