This article presents the effect of the grid skewness on the ranges of the underrelaxation factors for pressure and velocity. The effect is reflected by the relationship between the numbers of iterations required and the ranges of the underrelaxation factors for a converged solution. Four typical ca
Study of the effect of the non-orthogonality for non-staggered grids—the theory
✍ Scribed by H. Xu; C. Zhang
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 127 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
An investigation has been conducted to determine the effect of the grid non-orthogonality on the convergence behavior of two-dimensional lid-driven cavity flows. The relevant theory is presented in this article. In the present work, the contravariant velocity fluxes are used as the dependent variables on non-orthogonal, non-staggered grids. The momentum equations retain a strongly conservative form. Two practices for treating the momentum interpolation method in general curvilinear co-ordinates are presented. In each practice, the momentum interpolation formulations with and without velocity underrelaxation factor are considered. The discretization equations are solved using the SIMPLE, SIMPLEC and SIMPLER algorithms.
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