Velocity-vorticity formulation for 3D natural convection in an inclined enclosure by BEM

International Journal of Heat and Mass Transfer

Volumn 51, Issue 17-18, 2008, Pages 4517-4527

  Ravnik, J ^a   Skerget L ^a   Zunic Z ^a  

^a UNIVERSITY OF MARIBOR   (Slovenia)

Author keywords

Inclined enclosure; Laminar viscous fluid flow; Natural convection; Subdomain boundary element method; Velocity vorticity formulation

Indexed keywords

APPROXIMATION ALGORITHMS; BOOLEAN FUNCTIONS; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; ELECTRIC FIELD EFFECTS; ENCLOSURES; FLOW SIMULATION; FLUID DYNAMICS; FLUID MECHANICS; HEAT CONVECTION; KINEMATICS; MECHANICS; NATURAL CONVECTION; NAVIER STOKES EQUATIONS; NEWTONIAN FLOW; NUMERICAL ANALYSIS; VISCOUS FLOW; VORTICITY;

(I ,J) CONDITIONS; BOUNDARY VORTICITY; BOUSSINESQ APPROXIMATIONS; ENERGY EQUATION (EE); INCLINED ENCLOSURE; INCOMPRESSIBLE NAVIER STOKES EQUATIONS; KINEMATICS EQUATIONS; LAMINAR VISCOUS FLOW; NOVEL ALGORITHMS; RAYLEIGH NUMBER (RA); SIMULATION RESULTS; SINGLE DOMAINS; SUB DOMAINS; TRANSPORT EQUATIONS; VELOCITY VORTICITY FORMULATION;

BOUNDARY ELEMENT METHOD;

EID: 47349094945     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2008.01.018     Document Type: Article

References (27)

1. Davies G.D.V. Natural convection of air in a square cavity: a bench mark numerical solution. Int. J. Numer. Meth. Fluid 3 (1983) 249-264
2. Vierendeels J., Merci B., and Dick E. Numerical study of the natural convection heat transfer with large temperature differences. Int. J. Num. Meth. Heat Fluid Flow 11 (2001) 329-341
3. Vierendeels J., Merci B., and Dick E. A multigrid method for natural convective heat transfer with large temperature differences. Int. J. Comput. Appl. Math. 168 (2004) 509-517
4. Škerget L., and Samec N. BEM for the two-dimensional plane compressible fluid dynamics. Eng. Anal. Bound. Elem. 29 (2005) 41-57
5. Weisman C., Calsyn L., Dubois C., and Quéré P.L. Sur la nature de la transition a l'instationare d'un ecoulement de convection naturelle en cavite differentiellement chauffee a grands ecarts de temperature, Comptes rendus de l'academie des sciences Serie II b. Mecanique (2001) 343-350
6. Ingber M.S. A vorticity method for the solution of natural convection flows in enclosures. Int. J. Num. Meth. Heat Fluid Flow 13 (2003) 655-671
7. Tric E., Labrosse G., and Betrouni M. A first incursion into the 3D structure of natural convection of air in a differentially heated cubic cavity, from accurate numerical simulations. Int. J. Heat Mass Transfer 43 (2000) 4034-4056
8. Lo D., Young D., Murugesan K., Tsai C., and Gou M. Velocity-vorticity formulation for 3D natural convection in an inclined cavity by DQ method. Int. J. Heat Mass Transfer 50 (2007) 479-491
9. Hsieh K.J., and Lien F.S. Numerical modelling of buoyancy-driven turbulent flows in enclosures. Int. J. Heat Fluid Flow 25 4 (2004) 659-670
10. Xin S., and Quéré P.L. Direct numerical simulations of two-dimensional chaotic natural convection in a differentially heated cavity of aspect ratio 4. J. Fluid Mech. 304 (1995) 87-118
11. Ravnik J., Škerget L., and Hriberšek M. The wavelet transform for BEM computational fluid dynamics. Eng. Anal. Bound. Elem. 28 (2004) 1303-1314
12. Peng S.H., and Davidson L. Large eddy simulation for turbulent buoyant flow in a confined cavity. Int. J. Heat Fluid Flow 22 (2001) 323-331
13. Daube O. Resolution of the 2D Navier-Stokes equations in velocity-vorticity form by means of an influence matrix technique. J. Comput. Phys. 103 (1992) 402-414
14. Wong K.L., and Baker A.J. A 3D incompressible Navier-Stokes velocity-vorticity weak form finite element algorithm. Int. J. Num. Meth. Fluid 38 (2002) 99-123
15. Liu C.H. Numerical solution of three-dimensional Navier Stokes equations by a velocity-vorticity method. Int. J. Numer. Meth. Fluid 35 (2001) 533-557
16. Škerget L., Hriberšek M., and Žunič Z. Natural convection flows in complex cavities by BEM. Int. J. Num. Meth. Heat Fluid Flow 13 (2003) 720-735
17. J. Ravnik, L. Škerget, Z. Žunič, Combined single domain and subdomain BEM for 3D laminar viscous flow, Eng. Anal. Bound. Elem., submitted for publication.
18. In: Popov V., Power H., and Škerget L. (Eds). Domain Decomposition Techniques for Boundary Elements: Applications to fluid flow (2007), WIT Press
19. Bebendorf M. Approximation of boundary element matrices. Numer. Math 86 (2000) 565-589
20. Jumarhon B., Amini S., and Chen K. On the boundary element dual reciprocity method. Eng. Anal. Bound. Elem. 20 (1997) 205-211
21. Epplera K., and Harbrecht H. Fast wavelet BEM for 3D electromagnetic shaping. Appl. Numer. Math. 54 (2005) 537-554
22. Ravnik J., Škerget L., and Hriberšek M. 2D velocity vorticity based LES for the solution of natural convection in a differentially heated enclosure by wavelet transform based BEM and FEM. Eng. Anal. Bound. Elem. 30 (2006) 671-686
23. Lundgren T., and Koumoutsakos P. On the generation of vorticity at a free surface. J. Fluid Mech. 382 (1999) 351-366
24. Wrobel L.C. The Boundary Element Method (2002), John Willey & Sons, Ltd.
25. Paige C.C., and Saunders M.A. LSQR: an algorithm for sparse linear equations and sparse least squares. ACM Trans. Math. Software 8 (1982) 43-71
26. Žunič Z., Hriberšek M., Škerget L., and Ravnik J. 3-D boundary element-finite element method for velocity-vorticity formulation of the Navier-Stokes equations. Eng. Anal. Bound. Elem. 31 (2007) 259-266
27. Salat J., Xin S., Joubert P., Sergent A., Penot F., and Quéré P.L. Experimental and numerical investigation of turbulent natural convection in a large air-filled cavity. Int. J. Heat Fluid Flow 25 (2004) 824-832