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2-D RANS results of flow past a D-shaped cylinder at Re = 13000. (a) Snapshot of vorticity contours. (b) Contours of mean vorticity.
Stability analysis of the turbulent mean flow: real part of the streamwise velocity component for the (a) shedding mode and (b) adjoint shedding mode computed linearizing the RANS equations.
Map of the eigenfrequency variation caused by the introduction of a small control cylinder of diameter d = 0.04. (a) Adjoint-based prediction for the contribution induced by the mean component of drag. (b) Same as (a) for the contribution induced by the harmonic component of drag. (c) Same as (a) for the total variation . (d) Comparison with the experimental value 2πδSt exp of Parezanović and Cadot14 displayed in the lower half of the plot (courtesy of these authors).
(a) Contours of vorticity for the solution obtained by time-averaging the instantaneous solution over one single shedding cycle, starting from t = 100. (b) Map of the eigenfrequency variation caused by the introduction of a small control cylinder of diameter d = 0.04. The reference results obtained using the mean flow are reproduced from Fig. 3(c) in the upper half of the plot, while the results obtained using the approximated mean flow are displayed in the lower half.
Synoptic table of representative mean and fluctuating quantities for flow past a square cylinder. : mean recirculation length measured from the rear surface, : mean drag coefficient, C D′ and C L′: rms of drag and lift coefficients, St: Strouhal number.
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