T. Alboussì-ere, J. P. Garandet, and R. Moreau, Buoyancy-driven convection with a uniform magnetic field. Part 1. Asymptotic analysis, Journal of Fluid Mechanics, vol.164, issue.-1, pp.545-563, 1993.
DOI : 10.1146/annurev.fl.03.010171.000345

J. Baumgartl and G. Müller, Calculation of the effects of magnetic field damping on fluid flow ? Comparison of magnetohydrodynamic models of different complexity, Proc. VIIIth European Symposium on Materials and Fluid Sciences in Microgravity (ESA SP-333), pp.161-164, 1992.

B. Hadid and H. , Etude numérique des mouvements convectifs au sein des fluides de faible nombre de Prandtl, Thèse de Doctorat d'Etat, 1989.

B. Hadid, H. Henry, and D. , Numerical study of convection in the horizontal Bridgman configuration under the action of a constant magnetic field. Part 2. Three-dimensional flow, Journal of Fluid Mechanics, vol.333, pp.57-83, 1997.
DOI : 10.1017/S002211209600420X
URL : https://hal.archives-ouvertes.fr/hal-00140467

B. Hadid, H. Roux, and B. , Thermocapillary convection in long horizontal layers of low-Prandtl-number melts subject to a horizontal temperature gradient, Journal of Fluid Mechanics, vol.9, issue.-1, pp.77-103, 1990.
DOI : 10.1017/S0022112086000526

B. Hadid, H. Roux, and B. , Buoyancy- and thermocapillary-driven flows in differentially heated cavities for low-Prandtl-number fluids, Journal of Fluid Mechanics, vol.207, issue.-1, pp.1-36, 1992.
DOI : 10.1016/0094-5765(86)90023-8

J. R. Carruthers, Thermal convection instabilities relevant to crystal growth from liquids, Preparation and Properties of Solid state Materials, 1977.

L. Davoust, R. Moreau, R. Bolcato, T. Alboussì-ere, A. C. Neubrand et al., Influence of a vertical magnetic field on convection in the horizontal Bridgman crystal growth configuration, Proc. 2nd Intl Conf. on Energy Transfer in Magnetohydrodynamic flows, pp.15-26, 1994.

J. P. Garandet, T. Alboussì-ere, and R. Moreau, Buoyancy driven convection in a rectangular enclosure with a transverse magnetic field, International Journal of Heat and Mass Transfer, vol.35, issue.4, pp.741-748, 1992.
DOI : 10.1016/0017-9310(92)90242-K

J. Hart, Stability of Thin Non-Rotating Hadley Circulations, Journal of the Atmospheric Sciences, vol.29, issue.4, pp.687-697
DOI : 10.1175/1520-0469(1972)029<0687:SOTNRH>2.0.CO;2

J. E. Hart, A note on the stability of low-Prandtl-number Hadley circulations, Journal of Fluid Mechanics, vol.132, issue.-1, pp.271-281
DOI : 10.1016/0021-8928(67)90191-8

M. C. Hung and C. D. Andereck, Transitions in convection driven by a horizontal temperature gradient, Physics Letters A, vol.132, issue.5, pp.253-258, 1988.
DOI : 10.1016/0375-9601(88)90560-9

M. C. Hung and C. D. Andereck, Subharmonic Transitions in Convection in a Moderately Shallow Cavity, Numerical Simulation of Oscillatory Convection in low-Pr Fluids, 1990.
DOI : 10.1007/978-3-322-87877-9_40

. Roux, Notes on Numerical Fluid Mechanics, pp.338-343

D. T. Hurle, E. Jakeman, and C. P. Johnson, Convective temperature oscillations in molten gallium, Journal of Fluid Mechanics, vol.13, issue.03, pp.565-576, 1974.
DOI : 10.1063/1.1692736

S. Kaddeche, B. Hadid, H. Henry, and D. , Macrosegregation and convection in the horizontal Bridgman configuration I. Dilute alloys, Journal of Crystal Growth, vol.135, issue.1-2, pp.341-353, 1994.
DOI : 10.1016/0022-0248(94)90761-7

D. H. Kim, P. M. Adornato, and R. A. Brown, Effect of vertical magnetic field on convection and segregation in vertical Bridgman crystal growth, Journal of Crystal Growth, vol.89, issue.2-3, pp.339-356, 1988.
DOI : 10.1016/0022-0248(88)90419-8

P. Laure, Etude des mouvements de convection dans une cavité rectangulaire soumisè a un gradient de température horizontal, J. Méc. Théor. Appl, vol.6, pp.351-382, 1987.

P. Laure and B. Roux, Synthèse des résultats obtenus par l'´ etude de stabilité des mouvements de convection dans une cavité horizontale de grande extension, C. R. Acad. Sci. Paris, vol.305, pp.1137-1143, 1987.

S. Motakef, Magnetic field elimination of convective interference with segregation during vertical-Bridgman growth of doped semiconductors, Journal of Crystal Growth, vol.104, issue.4, pp.833-850, 1990.
DOI : 10.1016/0022-0248(90)90109-X

G. M. Oreper and J. Szekely, The effect of an externally imposed magnetic field on buoyancy driven flow in a rectangular cavity, Journal of Crystal Growth, vol.64, issue.3, pp.505-515, 1983.
DOI : 10.1016/0022-0248(83)90335-4

G. M. Oreper and J. Szekely, The effect of a magnetic field on transport phenomena in a Bridgman-Stockbarger crystal growth, Journal of Crystal Growth, vol.67, issue.3, pp.405-419, 1984.
DOI : 10.1016/0022-0248(84)90033-2

H. Ozoe and K. Okada, The effect of the direction of the external magnetic field on the three-dimensional natural convection in a cubical enclosure, International Journal of Heat and Mass Transfer, vol.32, issue.10, pp.1939-1954, 1989.
DOI : 10.1016/0017-9310(89)90163-4

J. M. Pratte and J. E. Hart, Endwall driven, low prandtl number convection in a shallow rectangular cavity, Journal of Crystal Growth, vol.102, issue.1-2, pp.54-68, 1990.
DOI : 10.1016/0022-0248(90)90888-R

B. Roux, GAMM Workshop : Numerical Simulation of Oscillatory Convection in low-Pr Fluids, Notes on Numerical Fluid Mechanics, vol.27, 1990.

B. Roux, P. Bontoux, T. P. Loc, and O. Daube, Optimisation of Hermitian methods for Navier-Stokes equations in the vorticity and stream-function formulation, Lecture Notes in Mathematics, vol.12, issue.A, pp.450-468, 1979.
DOI : 10.1002/aic.690120129

B. Roux, B. Hadid, H. Laure, and P. , Hydrodynamical regimes in metallic melts subject to a horizontal temperature gradient, Eur. J. Mech. B/Fluids, vol.8, pp.375-396, 1989.

R. W. Series and D. T. Hurle, The use of magnetic fields in semiconductor crystal growth, Journal of Crystal Growth, vol.113, issue.1-2, pp.305-328, 1991.
DOI : 10.1016/0022-0248(91)90036-5

J. F. Thompson, F. C. Thames, and C. W. Mastin, Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies, Journal of Computational Physics, vol.15, issue.3, pp.299-319, 1974.
DOI : 10.1016/0021-9991(74)90114-4