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

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Nowadays, a ride-sharing system is a trend among society for traveling. The ride-sharing system is a solution that can be developed to reduce the congestion because of the high amounts of the vehicle on the road. Taxi as an alternative transportation in an urban area can impose the ride-sharing system. Taxi-sharing aims to maximize the utilization of taxi capacity, thereby reduces the fare for passengers, increases the income for taxi operator, and reduces congestion, gas emission, as well as fuel consumption. In order to maximize the benefits of the taxi-sharing system usage, we need to optimize taxi routes and match requests that share taxi service. In this paper, we used a mixed integer programming problem as in Hosni et al (2014) to make a model of optimization of the taxi-sharing problem, then solved the problem by using a tabu search method. The experiments showed that the tabu search method could increase the income of taxi operator up to 10 - 14 %.