Numerical Simulation of Flood Routing by the Simplified Saint Venant Equations in Rectangular Channels

SULISTYONO, BAMBANG AGUS and SAMIJO, SAMIJO and YOHANIE, DIAN DEVITA Numerical Simulation of Flood Routing by the Simplified Saint Venant Equations in Rectangular Channels.

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Abstract

Floods, which cause a lot of damage, are a natural phenomenon that often occurs during the rainy season. Flood occurs because the discharge entering the channel exceeds the channel capacity. If the discharge data in the upstream area that will enter the channel is known, we can determine the flow behavior in the downstream area using a mathematical model. In this study, we proposed using simplified Saint Venant equations to simulate the flow routing in a prismatic channel with a rectangular section. This model is solved numerically using the finite difference method. Here, the numerical scheme used succeeds in simulating the flow behavior in the channel due to the discharge entering it. The simulation results show that the discharge entering the channel will propagate downstream with decreasing discharge quantity. Information on the amount of discharge at locations along the channel is useful as supporting data for flood control and prevention systems that will be conveyed to residents along the channel.

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