Abstract
Spillways, sluice-gates, and steep chutes are common appurtenant structures for open-channels. These structures provide an estimate of the total height of the dam in order to be used for water storage year-round and to avoid overflow water and dam failure. Often, these open-channel transitions produce discontinuities in the flow variables; and, consequently, lead to large free-surface disturbance. This paper probes into the free-surface wave behavior involved in an open channel, including transition. The one-dimensional shallow-water model is used to describe the unsteady free-surface flow, along with the Multiple-Grid technique-based Finite element solver, being used for numerical computations. Test case relates to a rectangular open channel discharging over a spillway and subjected to a storm concentrated at its inlet. The findings of this study evidence the capacities of the proposed solver in describing accurately the wave propagation and reflection mechanisms within the gradually varied free-surface flow regime framework. Findings also delineate the gain of the Multiple-Grid technique upon the standard one in terms of saving consumed computational time. In principle, the proposed MGTFEM numerical solver could be extended and applied to other shapes of prismatic open-channel, such as trapezoidal or triangular cross-section.
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Mnassri, S., Triki, A. (2021). On the Unidirectional Free-Surface Flow Solution in a Rectangular Open Channel. In: Feki, N., Abbes, M.S., Taktak, M., Amine Ben Souf, M., Chaari, F., Haddar, M. (eds) Advances in Acoustics and Vibration III. ICAV 2021. Applied Condition Monitoring, vol 17. Springer, Cham. https://doi.org/10.1007/978-3-030-76517-0_10
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