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A robust algorithm for computing fluid flows on highly non‐smooth staggered grids
Author(s) -
Rabiee A.,
Ziaei A. N.,
Alishahi M. M.,
Emdad H.
Publication year - 2008
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/fld.1848
Subject(s) - curvature , cartesian coordinate system , grid , momentum (technical analysis) , context (archaeology) , flow (mathematics) , sensitivity (control systems) , regular grid , vector field , simple algorithm , algorithm , mathematics , geometry , computer science , mathematical analysis , physics , geology , engineering , paleontology , finance , electronic engineering , economics , thermodynamics
A new method for computing the fluid flow in complex geometries using highly non‐smooth and non‐orthogonal staggered grid is presented. In a context of the SIMPLE algorithm, pressure and physical tangential velocity components are used as dependent variables in momentum equations. To reduce the sensitivity of the curvature terms in response to coordinate line orientation change, these terms are exclusively computed using Cartesian velocity components in momentum equations. The method is then used to solve some fairly complicated 2‐D and 3‐D flow field using highly non‐smooth grids. The accuracy of results on rough grids (with sharp grid line orientation change and non‐uniformity) was found to be high and the agreement with previous experimental and numerical results was quite good. Copyright © 2008 John Wiley & Sons, Ltd.