Adaptive three-dimensional phase-field modeling of dendritic crystal growth with high anisotropy

Journal of Crystal Growth

Volumn 318, Issue 1, 2011, Pages 51-54

  Lin, H K ^a   Chen, C C ^a   Lan, C W ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

A1. Computer simulation; A1. Growth models; A1. Heat transfer; A1. Solidification

Indexed keywords

A1. COMPUTER SIMULATION; A1. GROWTH MODELS; A1. HEAT TRANSFER; A1. SOLIDIFICATION; ADAPTIVE PHASE; ANISOTROPIC MATERIAL; ANISOTROPIC STRENGTH; DENDRITIC CRYSTAL; DENDRITIC GROWTH; EQUILIBRIUM SHAPE; EXACT SOLUTION; HIGH ANISOTROPY; INDUSTRIAL PROCESSS; PHASE-FIELD MODELING; POLY-CRYSTALLINE SILICON; PURE MATERIALS; SIMPLE METHOD; SUPERCOOLINGS; THREE-DIMENSIONAL (3D);

ANISOTROPY; COMPUTATIONAL METHODS; CRYSTAL GROWTH; CRYSTALLIZATION; HEAT TRANSFER; PHASE INTERFACES; POLYCRYSTALLINE MATERIALS; POLYSILICON; SOLIDIFICATION;

THREE DIMENSIONAL;

EID: 79952739350     PISSN: 00220248     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcrysgro.2010.11.013     Document Type: Conference Paper

References (17)

1. A. Karma, and W.J. Rappel Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics Phys. Rev. E 53 1996 R3017 R3020
2. A. Karma, and W.-J. Rappel Quantitative phase-field modeling of dendritic growth in two and three dimensions Phys. Rev. E 57 1998 4323 4349 (Pubitemid 128595870)
3. G. Amberg Semisharp phase field method for quantitative phase change simulations Phys. Rev. Lett. 91 2003 265505
4. C.C. Chen, and C.W. Lan Efficient adaptive three-dimensional phase-field simulation of dendritic crystal growth from various supercoolings using rescaling J. Cryst. Growth 311 2009 702 706
5. C.C. Chen, and C.W. Lan Efficient adaptive three-dimensional phase field simulation of free dendritic growth under natural convection J. Cryst. Growth 312 2010 1437 1442
6. C.C. Chen, Y.L. Tsai, and C.W. Lan Adaptive phase field simulation of dendritic crystal growth in a forced flow: 2D vs 3D morphologies Int. J. Heat Mass Transfer 52 2009 1158 1166
7. C.A. Johnson Generalization of GibbsThomson equation Surf. Sci. 3 1965 429 444
8. D.W. Hoffman, and J.W. Cahn Vector thermodynamics for anisotropic surfaces 1. Fundamentals and application to plane surface junctions Surf. Sci. 31 1972 368 388
9. R. Kobayashi Modeling and numerical simulations of dendritic crystal-growth Physica D 63 1993 410 423
10. J.J. Eggleston, G.B. McFadden, and P.W. Voorhees A phase-field model for highly anisotropic interfacial energy Physica D 150 2001 91 103
11. Z. Chen, C.L. Chen, and L.M. Hao Numerical simulation of facet dendrite growth Trans. Nonferrous Met. Soc. 18 2008 938 943
12. H. Kasajima, E. Nagano, T. Suzuki, S. Gyoon Kim, and W.Tae Kim Phase-field modeling for facet dendrite growth of silicon Sci. Technol. Adv. Mater. 4 2003 553 557
13. S.G. Kim, and W.T. Kim Phase field modeling of dendritic growth with high anisotropy J. Cryst. Growth 275 2005 e355 e360
14. S. Torabi, J. Lowengrub, A. Voigt, and S. Wise A new phase-field model for strongly anisotropic systems Proc. R. Soc. A 465 2009 1337 1359
15. A.A. Wheeler Phase-field theory of edges in an anisotropic crystal Proc. R. Soc. A 462 2006 3363 3384 (Pubitemid 44671029)
16. P.W. Voorhees, S.R. Coriell, G.B. McFadden, and R.F. Sekerka The effect of anisotropic crystal melt surface-tension on grain boundary groove morphology J. Cryst. Growth 67 1984 425 440
17. T. Haxhimali, A. Karma, F. Gonzales, and M. Rappaz Orientation selection in dendritic evolution Nat. Mater. 5 2006 660 664 (Pubitemid 44157685)