Towards a Three-Dimensional Phase-Field Model of Dendritic Solidification with Physically Realistic Interface Width

被引:0
作者
A. M. Mullis
C. E. Goodyer
P. K. Jimack
机构
[1] University of Leeds,Institute for Materials Research
[2] University of Leeds,School of Computing
来源
Transactions of the Indian Institute of Metals | 2012年 / 65卷
关键词
Phase field; Dendritic growth; Mesh adaptivity; Multigrid methods;
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学科分类号
摘要
We review the application of advanced numerical techniques such as adaptive mesh refinement, implicit time stepping, multigrid solvers and massively parallel implementations as a route to obtaining solutions to the three-dimensional phase-field problem with a domain size and interface resolution previously possible only in two dimensions. Using such techniques it is shown that such models are tractable even as the interface width approaches the solute capillary length.
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页码:617 / 621
页数:4
相关论文
共 30 条
[1]  
Barbieri A(1989)undefined Phys Rev A 39 5314-undefined
[2]  
Langer JS(1990)undefined Physica D 43 44-undefined
[3]  
Penrose O(1996)undefined Phys Rev E 53 R3017-undefined
[4]  
Fife PC(2005)undefined Acta Mater 53 1721-undefined
[5]  
Karma A(2010)undefined J Cryst Growth 312 1891-undefined
[6]  
Rappel W-J(1999)undefined J Comput Phys 148 265-undefined
[7]  
Ramirez JC(2007)undefined J Comput Phys 225 1271-undefined
[8]  
Beckermann C(2004)undefined Phys Rev E 70 061604-undefined
[9]  
Mullis AM(2008)undefined Acta Mater 56 4559-undefined
[10]  
Provatas N(1977)undefined Math Comput 31 333-undefined