Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 22, 1992 - Issue 2
26
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

HIGHER-ORDER DIFFERENCING METHOD WITH A MULTIGRID APPROACH FOR THE SOLUTION OF THE INCOMPRESSIBLE FLOW EQUATIONS AT HIGH REYNOLDS NUMBERS

Pages 179-198 | Received 02 May 1991, Accepted 29 Jan 1992, Published online: 03 Apr 2007

REFERENCES

  • R. M. Smith and A. G. Hutton , The Numerical Treatment of Advection A Performance Comparison of Current Methods , Numer. Heat Transfer , vol. 5 , pp. 439 – 461 , 1982 .
  • C. P. Tzanos , A Central-Difference-Like Approximation for the Solution of the Convection-Diffusion Equation , Numer. Heat Transfer , Part B , vol. 17 , pp. 97 – 112 , 1990 .
  • A. S. Benjamin and V. E. Denny , On the Convergence of Numerical Solutions for 2-D Flows in a Cavity at Large Re , J. Comput. Phys. , vol. 33 , pp. 304 – 358 , 1979 .
  • U. Ghia , K. N, Ghia, and C. T. Shin , High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method , J. Comput. Phys. , vol. 48 , pp. 387 – 411 , 1982 .
  • A. Settari and K. Aziz , A Generalization of the Additive Correction Methods for the Iterative Solution of Matrix Equations , SIAM J. Numer. Anal. , vol. 10 , pp. 506 – 521 , 1973 .
  • A. C. Hindmarsh , LSODE and LSODI Two New Initial Value Ordinary Differential Equation Solvers , ACM Signum Newslett. , vol. 15 , no. 4 , pp. 10 – 11 , 1980 .
  • T. C. Oppe , W. D. Joubert , and D. R. Kincaid , NSPCG User's Guide A Package for Solving Large Sparse Linear Systems by Various Iterative Methods , Center for Numerical Analysis , The University of Texas at Austin , April 1988 .
  • B. R. Hutchinson and G. D. Raithby , A Multigrid Method Based on the Additive Correction Strategy , Numer. Heat Transfer , vol. 9 , pp. 511 – 537 , 1986 .
  • B. R. Hutchinson , P. F. Galpin , and G. D. Raithby , Application of Additive Correction Multigrid to the Coupled Fluid Flow Equations , Numer. Heat Transfer , vol. 13 , pp. 133 – 147 , 1988 .
  • A. Brandt , Multi-Level Adaptive Solutions to Boundary-Value Problems , Math. Comput. , vol. 31 , pp. 333 – 390 , 1977 .
  • S. P. Vanka , Block-Implicit Multigrid Solution of Navier-Stokes Equations in Primitive Vari¬ables , J. Comput. Phys. , vol. 65 , pp. 138 – 158 , 1986 .
  • R. Schreiber and H. B. Keller , Driven Cavity Flows by Efficient Numerical Techniques , J. Comput. Phys. , vol. 49 , pp. 310 – 333 , 1983 .

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.