Investigation of Flood Routing by a Dynamic Wave Model in Trapezoidal Channels

SULISTYONO, BAMBANG AGUS and WIRYANTO, LEO HARI (2017) Investigation of Flood Routing by a Dynamic Wave Model in Trapezoidal Channels. AIP Conference Proceedings, 1867 (02002). pp. 1-8. ISSN 978-0-7354=1547-8

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Abstract

The problems of flood wave propagation, in bodies of waters, cause by intense rains or breaking of control structures, represent a great challenge in the mathematical modeling processes. This research concerns about the development and application of a mathematical model based on the Saint Venant’s equations, to study the behavior of the propagation of a flood wave in trapezoidal channels. In these equations, the momentum equation transforms to partial differential equation which has two parameters related to cross-sectional area and discharge of the channel. These new formulas have been solved by using an explicit finite difference scheme. In computation procedure, after computing the discharge from the momentum equation, the cross-sectional area will be obtained from the continuity equation for a given point of channel. To evaluate the behavior of the control variables, several scenarios for the main channel as well as for flood waves are considered and different simulations are performed. The simulations demonstrate that for the same bed width, the peak discharge in trapezoidal channel smaller than in rectangular one at a specific distance along the channel length and so, that roughness coefficient and bed slope of the channel play a strong game on the behavior of the flood wave propagation.

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