M. Meneguzzi, C. Sulem, P. L. Sulem, and O. Thual, Three-dimensional numerical simulation of convection in low-Prandtl-number fluids, Journal of Fluid Mechanics, vol.41, issue.-1, p.169, 1987.
DOI : 10.1017/S0022112076000141

E. Bodenschatz, W. Pesch, and G. Ahlers, Recent Developments in Rayleigh-B??nard Convection, Annual Review of Fluid Mechanics, vol.32, issue.1, p.709, 2000.
DOI : 10.1146/annurev.fluid.32.1.709

K. A. Cliffe and K. H. Winters, The use of symmetry in bifurcation calculations and its application to the B??nard problem, Journal of Computational Physics, vol.67, issue.2, p.310, 1986.
DOI : 10.1016/0021-9991(86)90265-2

G. S. Charlson and R. L. Sani, Thermoconvective instability in a bounded cylindrical fluid layer, International Journal of Heat and Mass Transfer, vol.13, issue.9, p.1479, 1970.
DOI : 10.1016/0017-9310(70)90181-X

R. Touihri, A. Gallaf, D. Henry, and H. B. Hadid, Instabilities in a cylindrical cavity heated from below with a free surface. I. Effect of Biot and Marangoni numbers, Physical Review E, vol.84, issue.5, p.56302, 2011.
DOI : 10.1103/PhysRevE.84.056302
URL : https://hal.archives-ouvertes.fr/hal-00691094

D. Puigjaner, J. Herrero, F. Giralt, and C. Simó, Stability analysis of the flow in a cubical cavity heated from below, Physics of Fluids, vol.16, issue.10, p.3639, 2004.
DOI : 10.1063/1.1778031

J. Pallares, M. P. Arroyo, F. X. Grau, and F. Giralt, Experimental laminar Rayleigh-B??nard convection in a cubical cavity at moderate Rayleigh and Prandtl numbers, Experiments in Fluids, vol.31, issue.2, p.208, 2001.
DOI : 10.1007/s003480100275

J. Pallares, F. X. Grau, and F. Giralt, Flow transitions in laminar Rayleigh???B??nard convection in a cubical cavity at moderate Rayleigh numbers, International Journal of Heat and Mass Transfer, vol.42, issue.4, p.753, 1999.
DOI : 10.1016/S0017-9310(98)00192-6

K. A. Cliffe and K. H. Winters, A numerical study of the cusp catastrophe for B??nard convection in tilted cavities, Journal of Computational Physics, vol.54, issue.3, p.531, 1984.
DOI : 10.1016/0021-9991(84)90132-3

K. R. Kirchartz, H. Oertel, and J. , Three-dimensional thermal cellular convection in rectangular boxes, Journal of Fluid Mechanics, vol.358, issue.-1, p.249, 1988.
DOI : 10.1146/annurev.fl.07.010175.000351

T. Adachi, Stability of natural convection in an inclined square duct with perfectly conducting side walls, International Journal of Heat and Mass Transfer, vol.49, issue.13-14, p.2372, 2006.
DOI : 10.1016/j.ijheatmasstransfer.2005.05.045

G. E. Karniadakis, M. Israeli, and S. A. Orszag, High-order splitting methods for the incompressible Navier-Stokes equations, Journal of Computational Physics, vol.97, issue.2, p.414, 1991.
DOI : 10.1016/0021-9991(91)90007-8

C. K. Mamun and L. S. Tuckerman, Asymmetry and Hopf bifurcation in spherical Couette flow, Physics of Fluids, vol.7, issue.1, p.80, 1995.
DOI : 10.1063/1.868730

A. Bergeon, D. Henry, H. B. Hadid, and L. S. Tuckerman, Marangoni convection in binary mixtures with Soret effect, Journal of Fluid Mechanics, vol.375, p.143, 1998.
DOI : 10.1017/S0022112098002614
URL : https://hal.archives-ouvertes.fr/hal-00140469

G. Petrone, E. Chénier, and G. Lauriat, Stability of free convection in air-filled horizontal annuli: influence of the radius ratio, International Journal of Heat and Mass Transfer, vol.47, issue.17-18, p.3889, 2004.
DOI : 10.1016/j.ijheatmasstransfer.2004.04.002
URL : https://hal.archives-ouvertes.fr/hal-00693883

T. C. Oppe, W. D. Joubert, and D. R. Kincaid, An overview of NSPCG: A nonsymmetric preconditioned conjugate gradient package, Computer Physics Communications, vol.53, issue.1-3, p.283, 1989.
DOI : 10.1016/0010-4655(89)90166-5

R. B. Lehoucq, D. C. Sorensen, and C. Yang, Guide: Solution of Large-scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods, 1998.
DOI : 10.1137/1.9780898719628

S. Wakashima and T. S. Saitoh, Benchmark solutions for natural convection in a cubic cavity using the high-order time???space method, International Journal of Heat and Mass Transfer, vol.47, issue.4, p.853, 2004.
DOI : 10.1016/j.ijheatmasstransfer.2003.08.008