Efficient adaptive phase field simulation of dendritic growth in a forced flow at low supercooling

被引：40

作者：

Lan, CW ^{[1
]}

Hsu, CM ^{[1
]}

Liu, CC ^{[1
]}

机构：

[1] Natl Taiwan Univ, Dept Chem Engn, Taipei 10617, Taiwan

来源：

JOURNAL OF CRYSTAL GROWTH | 2002年 / 241卷 / 03期

关键词：

computer simulation; dendrites; morphological instability; fluid flows; heat transfer; phase field model;

D O I：

10.1016/S0022-0248(02)01287-3

中图分类号：

O7 [晶体学];

学科分类号：

0702 ; 070205 ; 0703 ; 080501 ;

摘要：

Efficient phase field simulation using an adaptive finite volume method is presented for two-dimensional dendritic growth in a forced flow. The extremely large domain (over 2(18) in the ratio of cell size), while keeping very small cell size at the interface, makes the simulation at low supercooling possible. With a strong forced flow, the upstream tip speed reaches a steady state quickly even at low supercooling. The upstream arm develops side branches easily, but remains similar after rescaling, i.e., self-affine, as the diffusive one at steady state. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：379 / 386

页数：8

共 17 条

[11] LANGER JS, 1987, CHANCE MATTER, V6, P629
[12] SELECTION OF A LENGTH SCALE IN UNCONSTRAINED DENDRITIC GROWTH WITH CONVECTION IN THE MELT
LEE, YW
ANANTH, R
GILL, WN
[J]. JOURNAL OF CRYSTAL GROWTH, 1993, 132 (1-2) : 226 - 230
[13] In situ and real-time observation of the formation and dynamics of a cellular interface in a succinonitrile-0.5 wt% acetone alloy directionally solidified in a cylinder
Noel, N
Jamgotchian, H
Billia, B
[J]. JOURNAL OF CRYSTAL GROWTH, 1997, 181 (1-2) : 117 - 132
[14] Efficient computation of dendritic microstructures using adaptive mesh refinement
Provatas, N
Goldenfeld, N
Dantzig, J
[J]. PHYSICAL REVIEW LETTERS, 1998, 80 (15) : 3308 - 3311
[15] Crossover scaling in dendritic evolution at low undercooling
Provatas, N
Goldenfeld, N
Dantzig, J
LaCombe, JC
Lupulescu, A
Koss, MB
Glicksman, ME
Almgren, R
[J]. PHYSICAL REVIEW LETTERS, 1999, 82 (22) : 4496 - 4499
[16] Velocity and shape selection of dendritic crystals in a forced flow
Tong, X
Beckermann, C
Karma, A
[J]. PHYSICAL REVIEW E, 2000, 61 (01): : R49 - R52
[17] Dendritic growth of randomly oriented nuclei in a shear flow
Tönhardt, R
Amberg, G
[J]. JOURNAL OF CRYSTAL GROWTH, 2000, 213 (1-2) : 161 - 187

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