A two-dimensional quasi model for simulating flow in open-channels

Abstract

This paper proposes a 2D-quasi model for simulations of the lateral distribution of flow velocity and of unit water discharge in open-channel sections. The latters are obtained by solving the governing equation, which is derived from the Reynolds equations and allows for taking into account the gravity, bed shear stress, and turbulent diffusion force in calculations. Using the experimental data, a sensitivity analysis of modeling parameters, e.g. Manning coefficient and eddy viscosity was performed firstly. Approximate values of modeling parameters were then calibrated before the model was validated. Next, the proposed 2D-quasi model was applied to represent the flow of three experimental data sets. Four error estimates were computed to quantitatively assess the quality of simulations, revealing that (i) a good agreement between simulations and observations was obtained and (ii) the proposed 2D-quasi model was successfully used to reproduce flow of all experimental data sets using in the study. The capability of proposed 2D-quasi model was also discussed.