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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 31, 1997 - Issue 1
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Original Articles

EFFICIENCY AND ACCURACY ASPECTS OF A FULL-MULTIGRID SIMPLE ALGORITHM FOR THREE-DIMENSIONAL FLOWS

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Pages 23-42 | Received 01 Jun 1996, Accepted 12 Jul 1996, Published online: 19 Apr 2007
 

Abstract

This article reports on the analysis of efficiency and accuracy of a fult-multigHd SIMPLE algorithm for three-dimensional flows using co-located grids and central difference discretization for both connective and diffusive fluxes. It is shown that the central differencing scheme—contrary to common belief—offers both good convergence properties and high accuracy, even at large Pedet numbers. Accurate solutions, with discretization errors below 0.5%, were obtained for lid-driven flows in a cubic cavity using grids with up to 1283 (nearly 2.1 million) control volumes. For a grid with 643 (262,114) control volumes, solution can be obtained on a personal computer in 5-10 min. The computer code used for the calculations reported here is available from authors on request (free of charge).

Notes

Address correspondence to Dr. Milovan Perid, Institut fur Schiffbau, Universitat Hamburg, Lammersieth 90, D-22305 Hamburg, Germany. E-mail: [email protected]

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