X. Nicolas, A. Benzaoui, and S. Xin, Numerical simulation of thermoconvective flows and more uniform depositions in a cold wall rectangular APCVD reactor, Journal of Crystal Growth, vol.310, issue.1, pp.174-186, 2008.
DOI : 10.1016/j.jcrysgro.2007.10.016

URL : https://hal.archives-ouvertes.fr/hal-00353437

Q. H. Wang and Y. Jaluria, INSTABILITY AND HEAT TRANSFER IN MIXED-CONVECTION FLOW IN A HORIZONTAL DUCT WITH DISCRETE HEAT SOURCES, Numerical Heat Transfer, Part A: Applications, vol.33, issue.6, pp.445-463, 2002.
DOI : 10.1080/10407799308955881

X. Nicolas, Revue bibliographique sur les ??coulements de??Poiseuille???Rayleigh???B??nard : ??coulements de convection mixte en conduites rectangulaires horizontales chauff??es par le bas, International Journal of Thermal Sciences, vol.41, issue.10, pp.961-1016, 2002.
DOI : 10.1016/S1290-0729(02)01374-1

H. B. Hamed, R. Bennacer, T. Langlet, H. Sammouda, and H. Béji, Numerical 3-D Study of Poiseuille Rayleigh Benard Soret Problem in a Finite Extent Paralellipipedic Duct, Numerical Heat Transfer, Part A: Applications, vol.63, issue.6, pp.534-552, 2009.
DOI : 10.1016/S0017-9310(99)00099-X

O. Rahli, R. Bennacer, K. Bouhadef, and D. E. Ameziani, Three-Dimensional Mixed Convection Heat and Mass Transfer in a Rectangular Duct: Case of Longitudinal Rolls, Numerical Heat Transfer, Part A: Applications, vol.51, issue.5, pp.349-371, 2011.
DOI : 10.1080/10407782.2011.549081

K. C. Chiu and F. Rosenberger, Mixed convection between horizontal plates -1. Entrance effects, Int. J. Heat Mass Transfer, vol.30, pp.1645-1654, 1987.

M. T. Ouazzani, J. K. Platten, and A. Mojtabi, Etude exp??rimentale de la convection mixte entre deux plans horizontaux ?? temp??ratures diff??rentes???II, International Journal of Heat and Mass Transfer, vol.33, issue.7, pp.1417-1427, 1990.
DOI : 10.1016/0017-9310(90)90039-W

A. Benzaoui, X. Nicolas, and S. Xin, Efficient Vectorized Finite-Difference Method to Solve the Incompressible Navier???Stokes Equations for 3-D Mixed-Convection Flows in High-Aspect-Ratio Channels, Numerical Heat Transfer, Part B: Fundamentals, vol.60, issue.3, pp.277-302, 2005.
DOI : 10.1080/10407790590959825

URL : https://hal.archives-ouvertes.fr/hal-00694583

M. Medale, X. Nicolas, . Call, and . Contributions, CALL FOR CONTRIBUTIONS: Towards numerical benchmark solutions for 3D mixed convection flows in rectangular channels heated from below, International Journal of Thermal Sciences, vol.45, issue.4, pp.331-333, 2006.
DOI : 10.1016/j.ijthermalsci.2005.12.004

K. F. Alvin, W. L. Oberkampf, B. M. Rutherford, and K. V. Diegert, Methodology for characterizing modeling and discretization uncertainties in computational simulation, pp.28-37, 2000.
DOI : 10.2172/752055

P. J. Roache, Perspective: A Method for Uniform Reporting of Grid Refinement Studies, Journal of Fluids Engineering, vol.116, issue.3, pp.405-413, 1994.
DOI : 10.1115/1.2910291

W. L. Oberkampf and T. Trucano, Verification and validation in computational fluid dynamics, Progress in Aerospace Sciences, pp.31-42, 2002.

C. J. Roy, Review of code and solution verification procedures for computational simulation, Journal of Computational Physics, vol.205, issue.1, pp.131-156, 2005.
DOI : 10.1016/j.jcp.2004.10.036

H. Pabiou, S. Mergui, and C. Bénard, Wavy secondary instability of longitudinal rolls in RayleighPoiseuille flows, Journal of Fluid Mechanics, vol.542, issue.-1, pp.175-194, 2005.
DOI : 10.1017/S0022112005006154

X. Nicolas, S. Gounand, M. Medale, and S. Glockner, Benchmark Solution for a Three-Dimensional Mixed-Convection Flow, Part 2: Analysis of Richardson Extrapolation in the Presence of a Singularity, Numerical Heat Transfer, Part B: Fundamentals, vol.186, issue.5, pp.346-369, 2011.
DOI : 10.1080/10407790.2011.616761

URL : https://hal.archives-ouvertes.fr/hal-00692094

X. Nicolas, J. M. Luijkx, and J. K. Platten, Linear stability of mixed convection flows in horizontal rectangular channels of finite transversal extension heated from below, International Journal of Heat and Mass Transfer, vol.43, issue.4, pp.589-610, 2000.
DOI : 10.1016/S0017-9310(99)00099-X

URL : https://hal.archives-ouvertes.fr/hal-00695287

K. Goda, A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows, Journal of Computational Physics, vol.30, issue.1, pp.76-95, 1979.
DOI : 10.1016/0021-9991(79)90088-3

J. L. Guermond and J. Shen, A new class of truly consistent splitting schemes for incompressible flows, Journal of Computational Physics, vol.192, issue.1, pp.262-276, 2003.
DOI : 10.1016/j.jcp.2003.07.009

S. A. Orszag, M. Israeli, and M. O. Deville, Boundary conditions for incompressible flows, Journal of Scientific Computing, vol.96, issue.1, pp.75-111, 1986.
DOI : 10.1007/BF01061454

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, pp.414-443, 1991.
DOI : 10.1016/0021-9991(91)90007-8

T. C. Papanastasiou, N. Malamataris, and K. Ellwood, A new outflow boundary condition, International Journal for Numerical Methods in Fluids, vol.30, issue.5, pp.587-608, 1992.
DOI : 10.1002/fld.1650140506

L. J. Timmermans, P. D. Minev, and F. N. , AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS, International Journal for Numerical Methods in Fluids, vol.17, issue.7, pp.673-688, 1996.
DOI : 10.1002/(SICI)1097-0363(19960415)22:7<673::AID-FLD373>3.0.CO;2-O

B. P. Leonard, A stable and accurate convective modelling procedure based on quadratic upstream interpolation, Computer Methods in Applied Mechanics and Engineering, vol.19, issue.1, pp.59-98, 1979.
DOI : 10.1016/0045-7825(79)90034-3

E. Ahusborde and S. Glockner, A 2D block-structured mesh partitioner for accurate flow simulations on non-rectangular geometries, Computers & Fluids, vol.43, issue.1, pp.2-13, 2011.
DOI : 10.1016/j.compfluid.2010.07.009

URL : https://hal.archives-ouvertes.fr/hal-00861283

R. D. Falgout, J. E. Jones, and U. M. Yang, The Design and Implementation of Hypre, a Library of Parallel High Performance Preconditioners, chapter, Numerical Solution of Partial Differential Equations on Parallel Computers, A.M. Bruaset, and A

A. Ern and J. L. Guermond, Theory and Practice of Finite Elements, Applied Mathematical Series, vol.159, issue.4, 2004.
DOI : 10.1007/978-1-4757-4355-5

S. Turek, Efficient solvers for Incompressible Flow Problems -An Algorithmic and Computational Approach, Lecture Notes in Computational Science and Engineering, vol.6, issue.3, 1999.

A. Quarteroni, F. Saleri, and A. Veneziani, Factorization methods for the numerical approximation of Navier???Stokes equations, Computer Methods in Applied Mechanics and Engineering, vol.188, issue.1-3, pp.505-526, 2000.
DOI : 10.1016/S0045-7825(99)00192-9

Y. Saad, Iterative methods for sparse linear systems, 2003.
DOI : 10.1137/1.9780898718003

Y. Notay, An aggregation-based algebraic multigrid method, Electronic Transactions on Numerical Analysis, vol.37, pp.123-146, 2010.

X. Nicolas, M. Medale, S. Gounand, and S. Glockner, Benchmark solution for a three-dimensional mixed convection flow -Detailed technical report, Cast3m web site, pp.1-44, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00695433