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Study of the effect of the non‐orthogonality for non‐staggered grids—The results
Author(s) -
Xu Hao,
Zhang C.
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19990330)29:6<625::aid-fld803>3.0.co;2-v
Subject(s) - convergence (economics) , interpolation (computer graphics) , orthogonality , momentum (technical analysis) , simple (philosophy) , flow (mathematics) , grid , skewness , algorithm , mathematics , simple algorithm , mathematical optimization , computer science , geometry , statistics , physics , artificial intelligence , motion (physics) , philosophy , finance , epistemology , economics , thermodynamics , economic growth
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 cavity flow problems are solved on non‐staggered grids for this purpose. Two momentum interpolation practices namely, practice A and practice B, together with SIMPLE, SIMPLEC and SIMPLER algorithms are employed. The results show that the ranges of the pressure underrelaxation factor values for convergence exist if the SIMPLE algorithm is used, while no restrictions are observed if the SIMPLEC algorithm is used. From the curves obtained using the SIMPLER algorithm, the ranges of those based on practice B are wider than those based on practice A. Copyright © 1999 John Wiley & Sons, Ltd.