Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 34, 1998 - Issue 3
34
Views
3
CrossRef citations to date
0
Altmetric
NUMERICAL HEAT TRANSPER

PERFORMANCE AND ACCURACY OF A MODIFIED FULL MULTIGRID ALGORITHM FOR FLUID FLOW AND HEAT TRANSFER

&
Pages 323-338 | Received 12 Dec 1997, Accepted 27 Apr 1998, Published online: 27 Mar 2007

REFERENCES

  • K. C. Karki , P. S. Sathyamurty , and S. V. Patankar , Performance of a Multigrid Method with an Improved Discretization Scheme for Three–Dimensional Fluid Flow Calculations , Numer. Heat Transfer B , vol. 29 , pp. 275 – 288 , 1996 .
  • Z. Lilek , S. Muzafeija , and M. Perić , Efficiency and Accuracy Aspects of a Full-Multi-grid SIMPLE Algorithm for Three-Dimensional Flows , Numer. Heat Transfer B , vol. 31 , pp. 23 – 42 , 1997 .
  • D. S. Joshi and S. P. Vanka , Multigrid Calculation Procedure for Internal Flows in Complex Geometries , Numer. Heat Transfer B , vol. 20 , pp. 61 – 80 , 1991 .
  • D. Rayner , Multigrid Flow Solutions in Complex Two-dimensional Geometries , Int. J. Numer. Meth. Fluids , vol. 13 , pp. 507 – 518 , 1991 .
  • H. J. Leister and M. Perić , Numerical Simulation of a 3D Czochralski Melt Flow by a Finite Volume Multigrid Algorithm , J. Crystal Growth , vol. 123 , pp. 567 – 574 , 1992 .
  • I. Demirdzic and M. Perić , Numerical Study of Grey–Body Surface Radiation Coupled with Fluid Flow for General Geometries Using a Finite Volume Multigrid Solver , Int. J. Heat Fluid Flow , vol. 6 , pp. 3 – 18 , 1996 .
  • I. Demirdzic , Z. Lilek , and M. Perić , Fluid Flow and Heat Transfer Tests Problems for Non-orthogonal Grids Bench-Mark Solutions , Int. J. Numer. Meth. Fluids , vol. 15 , pp. 329 – 354 , 1992 .
  • P. Johansson and L. Davidson , Modified Collocated SIMPLEC Algorithm Applied to Buoyancy-Affected Turbulent Flow Using a Multigrid Solution Procedure , Numer. Heat Transfer B , vol. 28 , pp. 39 – 57 , 1995 .
  • F. S. Lien and M. A. Leschziner , Multigrid Convergence Acceleration for Complex Flow Including Turbulence , Int. Ser. Numer. Math. , vol. 98 , pp. 277 – 288 , 1991 .
  • F. S. Lien and M. A. Leschziner , Multigrid Acceleration for Recirculating Laminar and Turbulent Flows Computed with a Non–orthogonal Collocated Finite-Volume Scheme , Comput. Meth. Appl. Mech. Eng. , vol 118 , pp. 351 – 371 , 1994 .
  • W. Shyy , M. H. Chen , and C. S. Sun , Pressure-Based Multigrid Algorithm for Flow at All Speeds , AIAA J. , vol. 30 , no. 11 , pp. 2660 – 2669 , 1992 .
  • P. G. Huang , B. E. Launder , and M. A. Leschziner , Discretization of Nonlinear Convection Processes A Broad–Range Comparison of Four Schemes , Comput. Meth. Appl. Mech. Eng. , vol. 48 , pp. 1 – 24 , 1985 .
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington , DC , 1980 .
  • J. H. Feriger and M. Perić , Computational Methods for Fluid Dynamics , Springer-Verlag , Berlin , Heidelberg , New York , 1996 .
  • B. P. Leonard , A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation , Comput. Meth. Appl. Mech. Eng. , vol. 19 , pp. 59 – 98 , 1979 .
  • B. van Leer , Toward the Ultimate Conservative Difference Scheme, B. V. A. Second-Order Sequel to Godunov's Method , J. Comput. Phys. , vol. 23 , pp. 101 – 136 , 1977 .
  • C. M. Rhie and W. L. Chow , Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation , AIAA J. , vol. 21 , pp. 1525 – 1532 , 1983 .
  • H. L. Stone , Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations , |jtSIAM J. Numer. Anal|at, vol. 5 , pp. 530 – 558 , 1968 .
  • J. Yan , L. Xue , T. Rung , and F. Thiele , A Modified Full Multigrid Algorithm for Navier–Stokes Equations , submitted to Int. J. Numer. Meth. Fluids .
  • U. Ghia , K. N. Ghia , and C. T. Shin , High-Re Solutions for Incompressible Flow Using the Navier–Stokes Equation and a Multigrid Method , Comput. Phys. , vol. 48 , pp. 387 – 411 , 1982 .
  • G. de Vahl Davis , Natural Convection in a Square Cavity A Bench Mark Numerical Solution , Int. J. Numer. Meth. Fluids , vol. 3 , pp. 249 – 264 , 1983 .
  • Y. A. Koshmarov and A. Y. Ivanov , Experimental Study of Heat Transfer Through a Rarefied Gas between Coaxial Cylinders , Heat Transfer, Sol. Res. , vol. 5 , no. 1 , pp. 29 – 36 , 1973 .
  • S. D. Probert , D. Sadhu , and D. Syed , Thermal insulation provided by annular air–filled cavities , Appl. Energy , vol. 1 , pp. 145 – 153 , 1975 .
  • E. van Sande and B. J. G. Hamer , Steady and transient natural convection in enclosures between horizontal circular cylinders , Int. J. Heat Mass Transfer , vol. 22 , pp. 361 – 370 , 1979 .
  • D. Naylor , H. M. Badr , and J. D. Tarasuk , Experimental and Numerical Study of Natural Convection between Two Eccentric Tubes , Int. J. Heat Mass Transfer , vol. 32 , pp. 171 – 181 , 1989 .
  • T. H. Kuehn and R. J. Goldstein , An Experimental Study of Natural Convection Heat Transfer in Concentric and Eccentric Horizontal Cylindrical Annuli , ASME J. Heat Transfer , vol. 100 , pp. 635 – 640 , 1978 .

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.