Dynamic global simulation of the Czochralski process: I. Principles of the method

Journal of Crystal Growth

Volumn 171, Issue 1-2, 1997, Pages 65-76

  Van Den Bogaert, N ^a   Dupret, F ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; HEAT CONDUCTION; HEAT RADIATION; INVERSE PROBLEMS; NUMERICAL METHODS; PHASE INTERFACES; SEMICONDUCTING GERMANIUM; SEMICONDUCTOR GROWTH; SPECIFIC HEAT OF SOLIDS;

TRANSIENT EFFECTS;

CRYSTAL GROWTH FROM MELT;

EID: 0031546365     PISSN: 00220248     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0248(96)00488-5     Document Type: Article

References (43)

1. D.T.J. Hurle and B. Cockayne, in: Handbook of Crystal Growth, Vol. 2A. Czochralski growth, Ed. D.T.J. Hurle (North-Holland, Amsterdam, 1994) ch. 3.
2. D.T.J. Hurle, in: Crystal Pulling from the Melt (Springer, Berlin, 1993).
3. R.A. Brown, AIChE J. 34 (1988) 881.
4. F. Dupret and N. Van den Bogaert, in: Handbook of Crystal Growth, Vol. 2B, Modelling Bridgman and Czochralski growth, Ed. D.T.J. Hurle (North-Holland, Amsterdam, 1994) ch. 15.
5. W.E. Langlois, Ann. Rev. Fluid Mech. 17 (1985) 191.
6. Q. Xiao and J.J. Derby, J. Crystal Growth 129 (1993) 593.
7. J.J. Derby, R.A. Brown, F.T. Geyling, A.S. Jordan and G.A. Nikolakopoulou, J. Electrochem. Soc. 132 (1985) 470.
8. J.J. Derby and R.A. Brown, J. Crystal Growth 83 (1987) 137.
9. J.J. Derby and R.A. Brown, J. Crystal Growth 74 (1986) 605.
10. J.J. Derby and R.A. Brown, J. Crystal Growth 75 (1986) 227.
11. P. Wouters, PhD Thesis, University Catholique de Louvain, Louvàin-la-Neuve (1985).
12. F. Dupret, Y. Ryckmans, P. Wouters and M.J. Crochet, J. Crystal Growth 79 (1986) 84.
13. L.J. Atherton, J.J. Derby and R.A. Brown, J. Crystal Growth 84 (1987) 57.
14. D.E. Bornside, T.A. Kinney and R.A. Brown, Int. J. Numer. Methods Eng. 30 (1990) 133.
15. T. Tsukada, N. Imaishi, M. Hozawa and K. Fujinawa, J. Chem. Eng. Jpn. 20 (1987) 146.
16. A. Virzi, J. Crystal Growth 112 (1991) 699.
17. E. Billig, Proc. R. Soc. London A 229 (1955) 346.
18. F. Dupret, P. Nicodème, Y. Ryckmans, P. Wouters and M.J. Crochet, Int. J. Heat Mass Transfer 33 (1990) 1849.
19. N. Van den Bogaert and J. Braet, in: EMC'91 Non-Ferrous Metallurgy - Present and Future, Proc. 1st Eur, Metals Conf., Brussels, Belgium, September 1991 (Elsevier, Amsterdam, 1991) pp. 483-491.
20. A.B. Crowley, IMA J. Appl. Math. 30 (1983) 173.
21. J.J. Derby and R.A. Brown, J. Crystal Growth 87 (1988) 251.
22. T. Surek, J. Appl. Phys. 47 (1976) 4384.
23. T. Surek, S.R. Coriell and B. Chalmers, J. Crystal Growth 50 (1980) 21.
24. J.J. Derby, L.J. Atherton, P.D. Thomas and R.A. Brown, J. Sci. Comput. 2 (1987) 297.
25. P.D. Thomas, J.J. Derby, L.J. Atherton, R.A. Brown and M.J. Wargo, J. Crystal Growth 96 (1989) 135.
26. W. Zhou, D.E. Bornside and R.A. Brown, J. Crystal Growth 137 (1994), 26.
27. A. Virzi and M. Porrini, Mater. Sci. Eng. B 17 (1993) 196.
28. N. Van den Bogaert, PhD Thesis, University Catholique de Louvain, Louvain-la-Neuve (1993).
29. N. Van den Bogaert and F. Dupret, in: The Institute of Mathematics and its Applications Conf. Ser., New Ser. 12, Mathematical Modelling for Materials Processing, Eds. M. Cross, J.F.-T. Pittman and R.D. Wood (Clarendon, Oxford, 1993) pp. 493-515.
30. N. Van den Bogaert and F. Dupret, in preparation.
31. P. Nicodème, N. Van den Bogaert and F. Dupret, in: Inst. Phys. Conf. Ser. 112, Proc. 17th Int. Symp. GaAs and Related Compounds, Jersey, September 1990 (IOP, 1990) ch. 2, pp. 43-48.
32. J.V. Beck, B. Blackwell and Ch.R. Saint-Clair, Inverse Heat Conduction Problems (Wiley-Interscience, New York, 1985).
33. J. Hadamard, La Théorie des Équations aux Dérivées Partielles (Editions Scientifiques, Pékin, 1964).
34. M.E. Glicksman, S.R. Coriell and G.B. McFadden, Ann. Rev. Fluid Mech. 18 (1986) 307.
35. W. Bardsley, F.C. Frank, G.W. Green and D.T.J. Hurle, J. Crystal Growth 23 (1974) 341.
36. T. Surek and B. Chalmers, J. Crystal Growth 29 (1975) 1.
37. H. Wenzl, A. Fattah, D. Gustin, M. Mihelcic and W. Uelhoff, J. Crystal Growth 43 (1978) 607.
38. G.A. Satunkin, V.A. Tatarchenko and V.I. Shaitanov, J. Crystal Growth 50 (1980) 133.
39. N. Van den Bogaert and F. Dupret, J. Crystal Growth 166 (1996) 446.
40. R. Lynch and W.G. Gray, J. Comput. Phys. 36 (1980) 135.
41. N. Van den Bogaert and F. Dupret, J. Crystal Growth 171 (1997) 77.
42. L. Schwartz, Théorie des Distributions (Hermann, Paris, 1966).
43. N. Van den Bogaert, F. Dupret and M.J. Crochet, in: Proc. ECCG-3 3rd Eur. Conf. on Crystal Growth, Budapest, Hungary, May 1991 (Trans Tech Publications Ltd,).