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An Unsteady Reynolds Averaged Navier-Stokes (URANS) calculation method has been applied to open-channel flows past a trench downstream of a vertical drop which involve oscillating hydraulic jumps. The basic turbulence model is a low-Reynolds number two-equation model that can be used to calculate the near wall flow down to the surface using a fine calculation grid. This method has been found to reproduce unsteady fluctuations for which standard high-Reynolds number models can only give steady results. The reproduced fluctuations agree qualitatively well with the experimental observation. The represented unsteadiness is due to large scale oscillation instead of turbulent motions and is due to more two-dimensional coherent fluctuation much like unsteady vortex shedding off bluff bodies.

URANS calculation of open-channel flow with unsteady hydraulic jump