A Momentum-Conserving Scheme for Flow Simulation in 1D Channel with Obstacle and Contraction

We consider the extension of momentum conservative staggered-grid (MCS) scheme for flow simulation in channels with varying depth and width. The is formulated using properties Saint-Venant equations. proposed was successful handling various steady flows achieved results that are complete accordance analytical solutions. Different choices boundary conditions have created solutions according to mass energy conservations. This assessment has served as a validation numerical scheme. Further, channel contraction nonuniform bed, we simulate two cases dam break. show good agreement existing experimental data. Moreover, our scheme, uses quasi-1-dimensional approach, shown some fair 2-dimensional results. evaluation demonstrates merits MCS simulations width bathymetry, suitable river modeling.