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Numerical prediction of vortex shedding behind a square cylinder
Author(s) -
Kelkar Kanchan M.,
Patankar Suhas V.
Publication year - 1992
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.1650140306
Subject(s) - vortex shedding , vortex , square (algebra) , computational fluid dynamics , mechanics , cylinder , physics , mathematics , classical mechanics , geometry , reynolds number , turbulence
It is common knowledge that flow around bluff bodies exhibits oscillatory behaviour. The aim of the present study is to compute the steady two‐dimensional flow around a square cylinder at different Reynolds numbers and to determine the onset of unsteadiness through a linear stability analysis of the steady flow. Stability of the steady flow to small two‐dimensional perturbations is analysed by computing the evolution of these perturbations. An analysis of various time‐stepping techniques is carried out to select the most appropriate technique for predicting the growth of the perturbations and hence the stability of the flow. The critical Reynolds number is determined from the growth rate of the perturbations. Computations are then made for periodic unsteady flow at a Reynolds number above the critical value. The predicted Strouhal number agrees well with experimental data. Heat transfer from the cylinder is also studied for the unsteady laminar flow.