Dendritic growth with fluid flow in pure materials

Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science

Volumn 34 A, Issue 3, 2003, Pages 459-466

  Jeong, Jun Ho ^a   Dantzig, Jonathan A ^b   Goldenfeld, Nigel ^b  

^a Korea Institute of Machine and Materials   (South Korea)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; CRYSTAL GROWTH; CRYSTAL MICROSTRUCTURE; FINITE ELEMENT METHOD; FLOW OF FLUIDS; MATHEMATICAL MODELS; MELTING; SOLIDIFICATION; THREE DIMENSIONAL;

ADAPTIVE FINITE ELEMENT MESH; DENDRITIC GROWTH; FORCED FLOW; PHASE FIELD METHOD; PURE MATERIALS; UNDERCOOLED MELT;

METALS;

EID: 0037355548     PISSN: 10735623     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11661-003-0082-4     Document Type: Article

References (24)

1. G.P. Ivantsov: Dokl. Akad. Nauk USSR, 1947, vol. 58, pp. 1113.
2. E. Ben-Jacob, N. Goldenfeld, B.G. Kotliar, and J.S. Langer: Phys. Rev. Lett., 1984, vol. 53, p. 2110.
3. D. Kessler, J. Koplik, and H. Levine: Phys. Rev. A, 1984, vol. 30, p. 3161.
4. E. Brener: Phys. Rev. Lett., 1993, vol. 71 (22), pp. 3653-56.
5. A. Karma and W.-J. Rappel: Phys. Rev. E., 1995, vol. 53, p. 3017.
6. N. Provatas, N. Goldenfeld, and J. Dantzig: Phys. Rev. Lett., 1998, vol. 80, p. 3308.
7. S.H. Davis; Theory of Solidification, Cambridge University Press, Cambridge, United Kingdom, 2001.
8. S.-C. Huang and M. E. Glickson: Acta Metal., 1981, vol. 29, p. 1697.
9. D.A. Saville and P.J. Beaghton, Phys. Rev. A, 1988, vol. 37 (9), pp. 3423-30.
10. P. Bouissou and P. Pelcé Phys. Rev. A, 1989, vol. 40, pp. 6673-80.
11. C. Beckermann, H.-J. Diepers, I. Steinbach, A. Karma, and X. Tong: J. Comp. Phys., 1999, vol. 154, p. 468.
12. P. Bouissou, B. Perrin, and P. Tabeling: Phys. Rev. A, 1989, vol. 40, (1), pp. 509-12.
13. Y.-W. Lee, R. Ananth, and W.N. Gill: J. Cryst. Growth, 1993, vol. 132, p. 226.
14. R. Kobayashi: Physica D, 1993, vol. 63, p 410.
15. A.A. Wheeler, W.J. Boettinger, and G.B. McFadden: Phys. Rev. A, 1992, vol. 45, p. 7424.
16. J.A. Warren and W.J. Boettinger: Acta Metall. Mater. A, 1995, vol. 43, p. 689.
17. A. Karma and W.-J. Rappel: Phys. Rev. E, 1995, vol. 53, p. 3017.
18. N. Provatas, N. Goldenfeld, and J. Dantzig: J. Comp. Phys, 1999, vol. 148, p. 265.
19. J.-H. Jeong, N. Goldenfeld, and J.A. Dantzig: Phys. Rev. E, 2001, vol. 64, pp. 041602-14, 2001.
20. M. Plapp and A. Karma: J. Comp. Phys., 2000, vol. 165 (2), pp. 592-619.
21. R. Tönhardt and G. Amberg: J. Cryst. Growth, 1998, vol. 194, p. 406.
22. D. Juric: in Modeling of Casting, Welding and Advanced Solidification Processes, B.G. Thomas and C. Beckermann, eds., TMS-AIME, Warrendale, PA, 1998, pp. 605-12.
23. P.M. Gresho, S.T. Chan, M.A. Christon, and A.C. Hindmarsh: Int. J. Num. Methods Fluids, 1995, vol. 21, p. 837.
24. N. Provatas, J. Dantzig, and N. Goldenfeld, Phys. Rev. Lett., 1998, vol. 80, p. 3308.