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Numerical study on the vortex motion patterns around a rotating circular cylinder and their critical characters
Author(s) -
Ling GuoPing,
Shih TsiMin
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(19990130)29:2<229::aid-fld788>3.0.co;2-p
Subject(s) - vortex , reynolds number , cylinder , drag , lift (data mining) , wake , mathematics , geometry , physics , lift to drag ratio , finite difference , mechanics , drag coefficient , finite difference method , lift coefficient , vortex shedding , classical mechanics , mathematical analysis , turbulence , computer science , data mining
A hybrid finite difference and vortex method (HFDV), based on the domain decomposition method (DDM), is used for calculating the flow around a rotating circular cylinder at Reynolds number Re =1000, 200 and the angular‐to‐rectilinear speed ratio α∈(0.5, 3.25) respectively. A fully implicit third‐order eccentric finite difference scheme is adopted in the finite difference method, and the deduced large broad band sparse matrix equations are solved by a highly efficient modified incomplete LU decomposition conjugate gradient method (MILU‐CG). The long‐time, fully developed features about the variations of the vortex patterns in the wake, as well as the drag and lift forces on the cylinder, are given. The calculated streamline contours are in good agreement with the experimentally visualized flow pictures. The existence of the critical state is confirmed again, and the single side shed vortex pattern at the critical state is shown for the first time. Also, the optimized lift‐to‐drag force ratio is obtained near the critical state. Copyright © 1999 John Wiley & Sons, Ltd.