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1D numerical model simulation of flooding (the case of a wadi in Algeria and other piedmont rivers)


Science et changements planétaires / Sécheresse. Volume 21, Number 3, 225-31, juillet-août-septembre 2010, Article de recherche

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Author(s) : Mahmoud Hasbaia, Lahouari Benayada

Summary : Flooding is a typical phenomenon of unsteady flow in natural streams. A numerical model for simulating flows in open channels is used. This model relies on de Saint-Venant equations to solve the conservative 1D form of shallow water. The differential system, expressed in terms of discharge (Q) and water depth (h), is closed with an empirical relationship giving the friction factor. Preissmann's finite difference scheme, which is widely used in fluvial hydraulics, is employed to solve the flow-governing equations. The boundary conditions are solved with the characteristic method and the resulting system of algebraic equations is solved using an alternative solution procedure in which the upstream and the downstream ends are linked by successive substitutions. The model is applied to several field applications. The results are acceptable with mean error in estimating the attenuation of flood peaks of about 30%.

Keywords : Algeria, hydrological regime, modelling, simulation, streams, water flow

 

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