Simulation of natural convection with the collocated clustered finite volume scheme

Computers and Fluids

Volumn 37, Issue 9, 2008, Pages 1138-1147

  Touazi, O ^a   Chenier E ^a   Eymard, R ^a  

^a UNIVERSITÉ GUSTAVE EIFFEL   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELD EFFECTS; HEAT CONVECTION; NATURAL CONVECTION;

ANALYTICAL TESTING; DIMENSIONLESS FORM; DRIVEN CAVITY; FINITE VOLUMES; FLUID DENSITIES; NUMERICA L RESULTS; SPATIAL DISCRETIZATION; STABILIZATION METHODS; TEMPERATURE DIFFERENCES;

FINITE VOLUME METHOD;

EID: 48449087615     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2007.09.006     Document Type: Article

References (19)

1. Gray D., and Giorgini A. The validity of the Boussinesq approximation for liquids and gases. Int J Heat Mass Transfer 19 (1976) 545-551
2. Mihaldjan J.M. A rigourous exposition of the Boussinesq approximations applicable to a thin layer of fluid. Astrophys J 136 3 (1962) 1126-1133
3. Archambeau F., Mehitoua N., and Sakiz M. Code saturne: a finite volume code for turbulent flows. Int J Finite Volumes (2004).
4. Chénier E., Eymard R., and Touazi O. Numerical results using a colocated finite volume scheme on unstructured grids for incompressible fluid flows. Numer Heat Transfer, Part B 49 (2006) 259-276
5. Mathur S.R., and Murthy J.Y. Pressure boundary conditions for incompressible flow using unstructured meshes. Numer Heat Transfer 32 (1997) 283-298
6. Pironneau O. Finite element methods for fluids (1989), John Wiley & Sons
7. Brezzi F. On the existence uniqueness and approximation of saddle-point problems arising from Lagragian multipliers. RAIRO Anal Numer 8 (1974) 129-151
8. Brezzi F., and Pitkaranta J. On the stabilization of finite element approximations of the Stokes equations. Notes Numer Fluid Mech, Vieweg, Braunschweig (1984) 10
9. Rhie C.M., and Chow W.L. Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA J 21 (1983) 1525-1532
10. Eymard R., Herbin R., Latché J.C., and Piar B. On the stability of colocated clustered finite volume simplicial discretizations for the 2d stokes problem. Calcolo 44 4 (2007) 219-234
11. Eymard R., Gallouët T., and Herbin R. A cell-centred finite volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension. IMA J Numer Anal 26 2 (2006) 326-353
12. Paolucci S. Filtering of sound from the Navier-Stokes equations. Sandia National Lab Report, 1982:82-8257.
13. Paolucci S., and Chenoweth D.R. Transition to chaos in a differentially heated vertical cavity. J Fluid Mech 201 (1989) 379-410
14. Le Quéré P., Masson R., and Perrot P. A Chebyshev collocation algorithm for 2D non-Boussinesq convection. J Comput Phys 103 (1992) 320-335
15. Touazi O. Etude numérique d'un schéma de volumes finis sur des maillages non structurés pour des écoulements de fluide visqueux à densité constante ou faiblement variable, Thesis of University of Marne-la-Vallée, France, 2006.
16. 2 Un logiciel d'édition de maillages et de contours bidimensionnels. INRIA (1995) 118
17. Eymard R., Herbin R., and Latché J.C. On a stabilized colocated finite volume scheme for the Stokes problem. M2AN 40 3 (2006) 501-527
18. Eymard R., Herbin R., and Latché J.C. Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2D or 3D meshes. SIAM J Numer Anal 45 1 (2007) 1-36
19. Paillère H., Le Quéré P., Weisman C., Vierendeels J., Dick E., Braack M., et al. Modelling of natural convection flows with large temperature differences: a benchmark problem for low Mach number solvers ESAIM. Math Model Numer Anal 39 3 (2005) 617-621