Numerical simulation of macrosegregation: A comparison between finite volume method and finite element method predictions and a confrontation with experiments

Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science

Volumn 29, Issue 2, 1998, Pages 617-630

  Ahmad, N ^a   Combeau, H ^b   Desbiolles, J L ^a   Jalanti, T ^a   Lesoult, G ^b   Rappaz, J ^a   Rappaz, M ^a   Stomp, C ^b  

^a EPFL   (Switzerland)

^b UNIVERSITÉ DE LORRAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; FINITE VOLUME METHOD; HEAT TRANSFER; MASS TRANSFER; SEGREGATION (METALLOGRAPHY); TIN ALLOYS;

LEAD ALLOYS;

EID: 0032001254     PISSN: 10735623     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11661-998-0143-9     Document Type: Article

References (52)

1. D.J. Hebditch and J.D. Hunt: Metall. Trans., 1974, vol. 5, pp. 1557-64.
2. V.R. Voller and S. Sundarraj: Int. J. Heat Mass Transfer, 1995, vol. 38, pp. 1009-18.
3. P. Nandapurkar, D.R. Poirier, J.C. Heinrich, and S. Felicelli: Metall. Trans. B, 1989, vol. 20B, pp. 711-21.
4. J.C. Heinrich, S. Felicelli, P. Nandapurkar, and D.R. Poirier: Metall. Trans. B, 1989, vol. 20B, pp. 883-91.
5. W.D. Bennon and F.P. Incropera: Int. J. Heat Mass Transfer, 1987, vol. 30, pp. 2171-87.
6. J. Ni and C. Beckermann: Metall. Trans. B, 1991, vol. 22B, pp. 349-61.
7. S.N. Tewari and R. Shah: Metall. Mater. Trans. A, 1996, vol. 27A, pp. 1353-62.
8. K. Miyazawa and K. Schwerdtfeger: Arch. Eisenhütteriwes., 1981, vol. 52, pp. 415.
9. G. Lesoult and S. Sella: in Non Linear Phenomena in Materials Science, G. Martin and L.P. Kubin, eds., Trans Tech Publications, Aedermannsdorf, Switzerland, 1988, pp. 167-78
10. C.Y. Wang and C. Beckermann: Metall. Mater. Trans. A, 1996, vol. 27A, pp. 2754-64, pp. 2765-83, and pp. 2784-95.
11. J. Jang and A. Hellawell: Ironmaking and Steelmaking, 1991, vol. 18, pp. 267-74.
12. J. Jang and A. Hellawell: Ironmaking and Steelmaking, 1991, vol. 18, pp. 275-83.
13. H. Kato and J.P. Cahoon: Metall. Trans. A, 1985, vol. 16A, pp. 579-87.
14. M. Schneider and C. Beckermann: Int. J. Heat Mass Transfer, 1995, vol. 38, pp. 3455-73.
15. E. Hang, A. Mo, and H.J. Tevik: Int. J. Heat Mass Transfer, 1995, vol. 38, pp. 1553-63.
16. H.W. Huang, J.C. Heinrich, and D.R. Poirier: Model. Simul. Mater. Sci. Eng., 1996, vol. 4, pp. 245-59.
17. S.D. Felicelli, J.C. Heinrich, and D.R. Poirier: Metall. Trans. B, 1991, vol. 22B, pp. 847-59.
18. H. Combeau and G. Lesoult: 6th Conf. on Modeling of Casting, Welding and Advanced Solidification Processes, Palm Coast, FL, T.S. Piwonka, V. Voller, and L. Katgerman, eds., TMS, Warrendale PA, 1993, pp. 201-08.
19. P.J. Prescott and F.P. Incropera: Metall. Trans. B, 1991, vol. 22B, pp. 529-40.
20. W.D. Bennon and F.P. Incropera: Num. Heat Transfer, 1988, vol. 13, pp. 277-96.
21. I. Ohnaka: Proc. Conf. "State of the Art of Computer Simulation of Casting and Solidification Processes," E-MRS 14, H. Fredriksson, ed., Les Editions de Physique, Les Ulis, France, 1986, pp. 211-23.
22. M. Rappaz and V. Voller: Metall. Trans. A, 1990, vol. 21A, pp. 749-53.
23. S. Ganesan and D.R. Poirier: Metall. Trans. B, 1990, vol. 21B, pp. 173-81.
24. D.R. Poirier, P.J. Nandapurkar, and S. Ganesan: Metall. Trans. B, 1991, vol. 22B, pp. 889-900.
25. C. Prakash and V. Voller: Num. Heat Transfer, 1989, part B, vol. 15, pp. 171-89.
26. H. Combeau, F. Roch, J.C. Chevrier, I. Poitrault, and G. Lesoult: Advanced Methods in Heat Transfer, Southampton, Great Britain, July 17 1990, L.C. Wrobel, ed., Springer-Verlag, New York, NY, 1990, vol. 3, pp. 79-90.
27. Q.Z. Diao and H.L. Tsai: Metall. Trans. A, 1993, vol. 24A, pp. 963-73.
28. X. Zeng and A. Faghri: Num. Heat Transfer, 1994, part B, vol. 25, pp. 467-80.
29. M. Reza Aboutalebi, M. Hassan, and R.I.L. Guthrie: Metall. Mater. Trans. B, 1995, vol. 26B, pp. 731-44.
30. D. Xu and Q. Li: Num. Heat Transfer, 1991, part A, vol. 20, pp. 181-201.
31. A. Mo, T. Rusten, H.J. Thevik, B.R. Henriksen, and E.K. Jensen: 126th TMS Annual Meeting, Orlando, FL, 1997, TMS, Warrendale, PA, 1997, pp. 667-74.
32. S.K. Sinha, T. Sundarajan, and V.K. Garg: Int. J. Heat Mass Transfer, 1993, vol. 36, pp. 2349-58.
33. M.J.M. Krane and F.P. Incropera: Metall. Mater. Trans. A, 1995, vol. 26A, pp. 2329-40.
34. A. Mo: Int. J. Heal Mass Transfer, 1993, vol. 36, pp. 4335-40.
35. H.J. Thevik and A. Mo: Int. J. Heat Mass Transfer, 1997, vol. 40, pp. 2055-65.
36. D. Xu, Q. Li, and R.D. Pehlke: AFS Trans., 1991, vol. 103, pp. 737-45.
37. H. Shahani, G. Amberg, and H. Fredriksson: Metall. Trans. A, 1992, vol. 23A, pp. 2301-11.
38. M.C. Flemings and G.E. Nereo: Trans. TMS-AIME, 1968, vol. 242, pp. 50-55.
39. I. Vannier, H. Combeau, and G. Lesoult: Mater. Sci. Eng., 1993, vol. A173, pp. 317-21.
40. I. Vannier: Ph.D. Thesis, Institut National Polytechnique de Lorraine, Nancy, France, 1995.
41. P. Thévoz, M. Rappaz, and J.-L. Desbiolles: Light A Metals, C.M. Bickert, ed. TMS, Warrendale, PA, pp. 975- 84.
42. N. Ahmad: Ph.D. Thesis No 1349, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 1995.
43. A.E. Scheidegger: The Physics of Flow through Porous Media, 3rd ed., University of Toronto Press, Toronto, 1974, p. 141.
44. S.V. Patankar: Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, D.C., 1980.
45. J.P. Van Doormaal and G.D. Raithby: Num. Heat Transfer, 1984, vol. 7, pp. 147-63.
46. J.L. Desbiolles, M. Rappaz, J.J. Droux, and J. Rappaz: Proc. E-MRS Conf., H. Fredriksson, ed., Les Editions de Physique, Paris, 1986, pp. 49-55.
47. H. Combeau, J.-M. Drezet, A. Mo, and M. Rappaz: Metall. Mater. Trans. A, 1996, vol. 27A, pp. 2314-27.
48. G. De Vahl Davis and I.P. Jones: Int. J. Num. Methods in Fluids, 1983, vol. 3, pp. 227-48.
49. A.N. Brooks and T.J.R. Hughes: Comp. Meths. Appl. Mech. Eng., 1982, vol. 32, pp. 199-259.
50. F. Thomasset: Implementation of Finite Element Methods for Navier-Stokes equations, Springer-Verlag, New York, NY, 1981, p. 81.
51. H. Fredriksson and S.O. Nilsson: Metall. Trans. B, 1978, vol. 9B, pp. 111-20.
52. W. Kurz and D.J. Fischer: Fundamentals of Solidification, Trans Tech Publications, Aedermannsdorf, Switzerland, 1989.