Abstract

Shallow wake patterns are investigated by numerical method based on the solutions of two-dimensional (2D) shallow water equations and three-dimensional (3D) Reynolds-Averaged Navier-Stokes (RANS) equations with the implicit scheme on collocated mesh in the FVM framework. The analysis are made on vorticity contour distribution, transverse velocity (uy) variation with time, Strouhal number (St) and time-averaged longitudinal velocity (ux) to verify the characteristics of shallow wakes behind cylinder. We compare the numerical results with Chen’s experiment very well and show the capability and difference of 2D model and 3D model in modeling shallow wake structure. The results show that the 2D model predicts the vortex street (VS) wake well, yet the 3D model is fit for the steady bubble (SB) wake. The 2D model performs more accurately when VS wake transforms to unsteady bubble (UB) wake, while the 3D model is better when UB wake transforms to SB wake.

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