Three-dimensional Floquet stability analysis of the wake of a circular cylinder

1996/09/10 by Dwight Barkley, Ronald D. Henderson · 11 citations
Engineering · Environmental Science · #Fluid Dynamics and Vibration Analysis #Wind and Air Flow Studies #Vibration and Dynamic Analysis

paper · doi:10.1017/s0022112096002777

Abstract

Results are reported from a highly accurate, global numerical stability analysis of the periodic wake of a circular cylinder for Reynolds numbers between 140 and 300. The analysis shows that the two-dimensional wake becomes (absolutely) linearly unstable to three-dimensional perturbations at a critical Reynolds number of 188.5±1.0. The critical spanwise wavelength is 3.96 ± 0.02 diameters and the critical Floquet mode corresponds to a ‘Mode A’ instability. At Reynolds number 259 the two-dimensional wake becomes linearly unstable to a second branch of modes with wavelength 0.822 diameters at onset. Stability spectra and corresponding neutral stability curves are presented for Reynolds numbers up to 300.

Citations

• High-order splitting methods for the incompressible Navier-Stokes equations

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