Using a phase-field-like approach for the calculation of melt flow and interface shape during Czochralski growth

Crystal Research and Technology

Volumn 36, Issue 7, 2001, Pages 675-683

  Miller, W ^a  

^a LEIBNIZ INSTITUTE FOR CRYSTAL GROWTH   (Germany)

Author keywords

Czochralski growth; FIDAP ; Fluid flow; Phase field model

Indexed keywords

FLOW OF FLUIDS; PARTIAL DIFFERENTIAL EQUATIONS; PHASE INTERFACES; TEMPERATURE;

MELT FLOW; MELT-CRYSTAL INTERFACE; PHASE FIELD MODEL;

CRYSTAL GROWTH FROM MELT;

EID: 0034845811     PISSN: 02321300     EISSN: None     Source Type: Journal    
DOI: 10.1002/1521-4079(200108)36:7<675::AID-CRAT675>3.0.CO;2-3     Document Type: Article

References (15)

1. BECKERMANN, C., DIEPERS, H-J., STEINBACH, I., KARMA, A., TONG, X.: J. Comp. Phys. 154 (1999), 486-496
2. CAGINALP, GUNDUZ: in Applications of field theory to statistical mechanics. Ed. L. Garrido (Springer-Verlag, Berlin, 1985) p. 216-226
3. FAINBERG, J., LEISTER, H.-J., MÜLLER, G.: J. Crystal Growth 180 (1997), 517-523
4. FIDAP 8: User's Manual, Fluent Lebanon, 1998
5. FIDAP 8: FIPREP User's Manual, Fluent Lebanon, 1998
6. JARVINEN, JARI: Mathematical modeling and numerical simulation of Czochralski silicon growth, PHD thesis (1996), Yliopistopaino
7. KURZ, M, PUSZTAI, A., MÜLLER ,G.: J. Crystal Growth 198/199 (1999), 101-106
8. MILLER, W., REHSE U., BÖTTCHER, K.: Cryst. Res. Technol. 24 (1999), 481-489
9. MILLER, W., REHSE, U.: in Interactive Dynamics of Convection and Solidification, ed. Ehrhard, Riley and Steen, Kluwer,Dordrecht (2001)
10. MILLER, W., REHSE, U.: Cryst. Res. Technol. 36 (2001), 685-694
11. REHSE, U., MILLER, W.: J. Crystal Growth 230 (2001), 143-147
12. VAN DEN BOGAERT, N., DUPRET, F.: J. Crystal Growth 171 (1997), 65-76
13. VOLLER, V, CROSS, M.: Int. J. Heat Mass Transfer 24 (1981), 545-556
14. WHEELER, A. A., BOETTINGER, W. J., MCFADDEN, G. B.: Phys. Rev. A 45 (1992), 7424-7439
15. ZHANG, H., PRASAD, V.: J. Crystal Growth 155 (1995), 47-65