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Numerical solutions of 2‐D steady incompressible driven cavity flow at high Reynolds numbers
Author(s) -
Erturk E.,
Corke T. C.,
Gökçöl C.
Publication year - 2005
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.953
Subject(s) - reynolds number , vortex , vorticity , mechanics , incompressible flow , compressibility , flow (mathematics) , stream function , mathematics , navier–stokes equations , pressure correction method , computational fluid dynamics , two dimensional flow , streamlines, streaklines, and pathlines , physics , turbulence
Numerical calculations of the 2‐D steady incompressible driven cavity flow are presented. The Navier–Stokes equations in streamfunction and vorticity formulation are solved numerically using a fine uniform grid mesh of 601 × 601. The steady driven cavity flow solutions are computed for Re ⩽ 21 000 with a maximum absolute residuals of the governing equations that were less than 10 −10 . A new quaternary vortex at the bottom left corner and a new tertiary vortex at the top left corner of the cavity are observed in the flow field as the Reynolds number increases. Detailed results are presented and comparisons are made with benchmark solutions found in the literature. Copyright © 2005 John Wiley & Sons, Ltd.