Numerical simulation of two-dimensional Rayleigh-Bénard convection in an enclosure

Comptes Rendus - Mecanique

Volumn 336, Issue 5, 2008, Pages 464-470

  Ouertatani, Nasreddine ^a   Ben Cheikh, Nader ^a   Ben Beya, Brahim ^a   Lili, Taieb ^a  

^a FACULTÉ DES SCIENCES DE TUNIS   (Tunisia)

Author keywords

Heat transfer; Rayleigh B nard convection

Indexed keywords

BUOYANCY; FINITE VOLUME METHOD; FORCE MEASUREMENT; NATURAL CONVECTION; NUMERICAL METHODS;

BUOYANCY; CONVECTION; ENCLOSURE EXPERIMENT; FINITE VOLUME METHOD; HEAT TRANSFER; NUMERICAL MODEL; RAYLEIGH NUMBER; TWO-DIMENSIONAL MODELING;

EID: 41549090041     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2008.02.004     Document Type: Article

References (23)

1. In: Bejan A., and Kraus A.D. (Eds). Heat Transfer Handbook (2003), Wiley, New York
2. In: Ingham D.B., and Pop I. (Eds). Transport Phenomena in Porous Media, II (2002), Pergamon, Oxford
3. In: Vafai K. (Ed). Handbook of Porous Media (2000), Marcel Dekker, New York
4. Cheikh N.B., Beya B.B., and Lili T. Aspect ratio effect on natural convection flow in a cavity submitted to a periodical temperature boundary. J. Heat Transfer 129 (2007) 1060-1068
5. Costa V.A.F., Oliveira M.S.A., and Sousa A.C.M. Control of laminar natural convection in differentially heated square enclosures using solid inserts at the corners. Int. J. Heat Mass Transfer 46 (2003) 3529-3537
6. Accary G., and Raspo I. A 3D finite volume method for the prediction of a supercritical fluid buoyant flow in a differentially heated cavity. Int. J. Heat Mass Transfer 35 (2006) 1316-1331
7. Calgagni B., Marsili F., and Paroncini M. Natural convective heat transfer in square enclosures heated from below. Appl. Therm. Eng. 25 (2005) 2522-2531
8. Platten J.K., Marcoux M., and Mojtabi A. The Rayleigh-Bénard problem in extremely confined geometries with and without the Soret effect. C. R. Mecanique 335 (2007) 638-654
9. Stella F., and Bucchigani E. Rayleigh-Bénard convection in limited domains: part 1 - oscillatory flow. Numer. Heat Transfer A 36 (1999) 1-16
10. Le Quéré P. Accurate solutions to the square thermally driven cavity at high Rayleigh number. Comput. Fluids 20 (1991) 29-41
11. De Vahl Davis G. Natural convection of air in a square cavity: a bench mark numerical solution. Int. J. Numer. Methods Fluids 3 (1983) 249-264
12. Xin S., and Le Quéré P. An extended Chebyshev pseudo-spectral benchmark for the differentially heated cavity. Int. J. Numer. Methods Fluids 40 (2002) 981-998
13. Hortmann M., Peric M., and Scheuerer G. Finite volume multigrid prediction of laminar natural convection: bench-mark solutions. Int. J. Numer. Methods Fluids 11 (1990) 189-207
14. Cheikh N.B., Beya B.B., and Lili T. Benchmark solution for time-dependent natural convection flows with an accelerated full-multigrid method. Numer. Heat Transfer B 52 (2007) 131-151
15. Achdou Y., and Guermond J.L. Convergence analysis of a finite element projection/Lagrange-Galerkin method for the incompressible Navier-Stokes equations. SIAM J. Numer. Anal. 37 (2000) 799-826
16. Patankar S.V. Numerical Heat Transfer and Fluid Flow (1980), McGraw-Hill, New York
17. Leonard B.P. A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Comput. Meth. Appl. Mech. Eng. 19 (1979) 59-98
18. Barrett R., et al. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods (1994), SIAM
19. Nobile E. Simulation of time-dependent flow in cavities with the additive-correction multigrid method, Part I: Mathematical formulation. Numer. Heat Transfer B 30 (1996) 341-350
20. Soong C.Y., Tzeng P.Y., Chiang D.C., and Sheu T.S. Numerical study on mode-transition of natural convection in differentially heated inclined enclosures. Int. J. Heat Mass Transfer 39 (1996) 2869-2882
21. Hackbusch W. Multigrid, Methods and Applications (1985), Springer-Verlag, Berlin/New York
22. Hortmann M., Peric M., and Scheuerer G. Finite volume multigrid prediction of laminar natural convection: bench-mark solutions. Int. J. Numer. Methods Fluids 11 (1990) 189-207
23. Cheikh N.B., Beya B.B., and Lili T. Natural convection flow in a tall enclosure using a multigrid method. C. R. Mecanique 335 (2007) 113-118