Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 54, 2008 - Issue 1
629
Views
36
CrossRef citations to date
0
Altmetric
Original Articles

Consistent Implementation and Comparison of FOU, CD, SOU, and QUICK Convection Schemes on Square, Skew, Trapezoidal, and Triangular Lid-Driven Cavity Flow

&
Pages 84-102 | Received 11 Oct 2007, Accepted 27 Mar 2008, Published online: 12 Jun 2008

REFERENCES

  • Y. Wang and K. Hutter , Comparison of Numerical Methods with Respect to Convectively Dominated Problems , Int. J. Numer. Meth. Eng. , vol. 37 , pp. 721 – 745 , 2001 .
  • B. Yu , W. Q. Tao , D. S. Zhang , and Q. W. Wang , Discussion on Numerical Stability and Boundedness of Convective Discretized Scheme , Numer. Heat Transfer B , vol. 40 , pp. 343 – 365 , 2001 .
  • S. P. Vanka , Second-Order Upwind Differencing in a Recirculating Flow , AIAA J. , vol. 25 , pp. 1435 – 1441 , 1987 .
  • W. Shyy , S. Thakur , and J. S. P. Wright , Second-Order Upwind and Central Difference Schemes for Recirculating Flow Computation , AIAA J. , vol. 30 , pp. 923 – 932 , 1992 .
  • S. Thakur and W. Shyy , Some Implementation Issues of Convection Schemes for Finite Volume Formulations , Numer. Heat Transfer B , vol. 24 , pp. 31 – 55 , 1993 .
  • F. Biagioli , Calculation of Laminar Flows with Second Order Schemes and Collocated Variable Arrangement , Int. J. Numer. Meth. Eng. , vol. 26 , pp. 887 – 905 , 1998 .
  • T. Hayase , J. A. C. Humphrey , and R. Grief , A Consistently Formulated QUICK Scheme for Fast and Stable Convergence Using Finite Volume Iterative Calculation Procedure , J. Comput. Phys. , vol. 98 , pp. 108 – 118 , 1992 .
  • P. Neofytou , A 3rd Order Upwind Finite Volume Method for Generalized Newtonian Fluid Flows , Adv. Eng. Software , vol. 36 , pp. 664 – 680 , 2005 .
  • Z. Y. Li and W. Q. Tao , A New Stability Guaranteed Second Order Difference Scheme , Numer. Heat Transfer B , vol. 42 , pp. 349 – 365 , 2002 .
  • D. G. Roychowdhury , S. K. Das , and T. Sundararajan , An Efficient Solution Method for Incompressible N-S Equations Using Non-orthogonal Collocated Grid , Int. J. Numer. Meth. Eng. , vol. 45 , pp. 747 – 763 , 1999 .
  • Y. H. Zurigat and A. H. Ghajar , Comparative Study of Weighted Upwind and Second Order Difference Schemes, Numer. Heat Transfer B , vol. 18, pp. 61–80, 1990.
  • Y. G. Li and M. Rudman , Assessment of Higher-Order Upwind Schemes Incorporating FCT for Convection-Dominated Problems , Numer. Heat Transfer B , vol. 27 , pp. 1 – 21 , 1995 .
  • U. Ghia , K. N. Ghia , and C. T. Shin , High Re-Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multi Grid Method , J. Comput. Phys. , vol. 48 , pp. 387 – 411 , 1982 .
  • I. Demirdzic , Z. Lilek , and M. Peric , Fluid Flow and Heat Transfer Test Problems for Non-orthogonal Grids: Bench-mark Solutions , Int. J. Numer. Meth. Fluids , vol. 15 , pp. 329 – 354 , 1992 .
  • C. W. Oosterlee , P. Wesseling , A. Segal , and F. Brakee , Benchmark Solutions for the Incompressible Navier-Stokes Equations in General Co-ordinates on Staggered Grids , Int. J. Numer. Meth. Fluids , vol. 17 , pp. 301 – 321 , 1993 .
  • M. Louaked , L. Hanich , and K. D. Nguyen , An Efficient Finite Difference Technique for Computing Incompressible Viscous Flows , Int. J. Numer. Meth. Fluids , vol. 25 , pp. 1057 – 1082 , 1997 .
  • H. K. Moffat , Viscous and Resistive Eddies near a Sharp Corner , J. Fluid Mech. , vol. 18 , pp. 1 – 18 , 1991 .
  • C. J. Ribbens , L. T. Watson , and C. Y. Wang , Steady Viscous Flow in a Triangular Cavity , J. Comput. Phys. , vol. 112 , pp. 173 – 181 , 1994 .
  • W. D. McQuain , C. J. Ribbens , C. Y. Wang , and L. T. Watson , Steady Viscous Flow in a Trapezoidal Cavity , Comput. Fluids , vol. 23 , pp. 613 – 626 , 1994 .
  • M. Li and T. Tang , Steady Viscous Flow in a Triangular Cavity by Efficient Numerical Techniques , Comput. Math. Appl. , vol. 31 , pp. 55 – 65 , 1996 .
  • R. Jyotsana and S. P. Vanka , Multigrid Calculation of Steady, Viscous Flow in a Triangular Cavity , J. Comput. Phys. , vol. 122 , pp. 107 – 117 , 1995 .
  • A. Sharma , Numerical Investigation of Unconfined and Channel-Confined Flow across a Square Cylinder with Forced and Mixed Convection Heat Transfer, Ph.D. thesis, Indian Institute of Technology , Kanpur , India , 2003 .
  • K. A. Hoffmann , Computational Fluid Dynamics for Engineers , pp. 371 – 373 , Engineering Education System , Austin , TX , 1989 .
  • A. Sharma and V. Eswaran , A Finite Volume Method , in K. Muralidhar and T. Sundararajan (eds.), Computational Fluid Flow and Heat Transfer , chap. 12 , Narosa , New Delhi , 2003 .
  • J. H. Ferziger and M. Peric , Computational Methods in Fluid Dynamics , Springer-Verlag , New York , 2002 .
  • O. Botella and R. Peyret , Benchmark Spectral Results on the Lid-Driven Cavity Flow , Comput. Fluids , vol. 27 , pp. 421 – 433 , 1998 .

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.