Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 29, 1996 - Issue 2
18
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

HIGHER ORDER PENALTY-GALERKIN FINITE ELEMENT APPROACH TO LAMINAR NATURAL CONVECTION IN A SQUARE CAVITY

Pages 197-210 | Received 12 Jun 1995, Accepted 26 Sep 1995, Published online: 23 Oct 2007

REFERENCES

  • G. de Vahl Davis and I. P. Jones , Natural Convection in a Square Cavity A Comparison Exercise , Int. J. Numer. Methods Fluids , vol. 3 , pp. 227 - 248 , 1983 .
  • G. de Vahl Davis, Natural Convection in a Square Cavity A Bench Mark Numerical Solution , Int. J. Numer. Methods Fluids , vol. 3 , pp. 249 - 264 , 1983 .
  • M. Hortmann , M. Peric , and G. Scheuerer , Finite Volume Multigrid Prediction of Laminar Natural Convection Bench-Mark Solutions , Int. J. Numer. Methods Fluids , vol. 11 , pp. 189 - 207 , 1990 .
  • P. Le Quere, Accurate Solutions to the Square Thermally Driven Cavity at High Rayleigh Number , Comput. Fluids , vol. 20 , pp. 29 - 41 , 1991 .
  • T. J. R. Hughes , W. K. Liu , and A. Brooks , Finite Element Analysis of Incompressible Viscous Flows by the Penalty Function Formulation , J. Comput. Phys. , vol. 30 , pp. 1 - 60 , 1979 .
  • J. N. Reddy , On Penalty Function Methods in the Finite Element Analysis of Fluid Flow , Int. J. Numer. Methods Fluids , vol. 2 , pp. 151 - 171 , 1982 .
  • G. Sewell , PDE2D Easy-to-Use Software for General Two-Dimensional Partial Differential Equations , Adv. Eng. Software , vol. 17 , pp. 105 - 112 , 1993 .
  • G. Sewell , Analysis of a Finite Element Method PDE/PROTEAN , Springer-Verlag , New York , 1985 .
  • I. Duff and J. Reid , The Multifrontal Solution of Unsymmetric Sets of Linear Equations , SIAM J. Sci. Stat. Comput. , vol. 5 , pp. 633 - 641 , 1984 .
  • P. M. Gresho and R. L. Lee , Dona't Suppress the Wiggles-They're Telling You Something , Comput. Fluids , vol. 9 , pp. 223 - 253 , 1981 .
  • Address correspondence to Seppo Syrjala, Energy and Process Engineering, Tampere University of Technology, P.O. Box 589, 33101 Tampere, Finland.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.