The URANS equations are solved with the SST turbulence closure model, and the free surface is modelled using the Volume-of-Fluid method. Numerical results are verified through a detailed comparison with existing laboratory measurements for the supercritical flow patterns: detached hydraulic jump and wall-jet-like bow wave. Results demonstrate that the model accurately captures key flow features in both cases. A quasi-periodic oscillation of the bow wave with a Strouhal number of 0.08 is observed. The horseshoe vortex is composed of four vortices, similar to cases of cylinders in subcritical flows. The bottom shear stress beneath the main horseshoe vortex shows an amplification comparable to that observed in subcritical cases, suggesting that scour at bridge piers should be of comparable magnitude in both supercritical and in subcritical flows. Obtained results illustrate the applicability, capacities, and limitations of RANS models with the Volume-of Fluid method for the simulation of supercritical flows around obstacles.
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