Collocation method for convective flow induced by directional solidification in a cylinder

International Journal for Numerical Methods in Fluids

Volumn 22, Issue 5, 1996, Pages 393-409

  Le Marec, C ^a   Guerin R ^a   Haldenwang, P ^a  

^a AIX MARSEILLE UNIVERSITY   (France)

Author keywords

Chebyshev spectral method; Directional solidification; Generalized Stokes problem; Thermosolutal convection; Vertical Bridgman problem

Indexed keywords

BODIES-CYLINDERS; NAVIER-STOKES EQUATIONS; SOLIDIFICATION;

EID: 0029672238     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19960315)22:5<393::AID-FLD358>3.0.CO;2-P     Document Type: Article

References (13)

1. D. T. J Hurle, in E. Kaldis and J. H. Scheel (eds), Crystal Growth and Materials, North-Holland, Amsterdam 1977, p. 550.
2. M. A. Azouni, PhysicoChem. Hydrodyn., 2, 295 (1981).
3. S. M. Pimputkar and S. Ostrach, J. Crystal Growth, 55, 614 (1981).
4. M. E. Glicksman, S. R. Coriell and G. B. McFadden, Ann. Rev. Fluid Mech., 18, 307 (1986).
5. H. Nguyen Thi, B. Billia and H. Jamgotchian, J. Fluid Mech., 204, 581-597 (1989).
6. H. Jamgotchian, B. Billia and L. Capella, J. Cryst. Growth, 82, 342-350 (1987).
7. S. R. Coriell, G. B. McFadden and R. F. Sekerka, Ann. Rev. Mater. Sci., 15, 119 (1985).
8. R. J. Schaefer and S. R. Coriell, Metall. Trans. A, 15, 2109 (1984).
9. M. Hicham Ettouney and R. Brown, J. Comput. Phys., 49, 118-150 (1983).
10. J. Chiechun Chang and R. Brown, J. Comput. Phys., 53, 1-27 (1984).
11. E. Crespo Del Arco and P. Bontoux, Phys. Fluids A, 1, 1348-1359 (1989).
12. D. Gottlieb and S. A. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications, SIAM-CBMS, Philadelphia, PA, 1977.
13. J. P. Pulicani and J. Ouzzani, Comput. Fluids, 20, 93-109 (1991).