A. Triki and E. Hadj-Taïeb
Open-channel flow, transient flow, characteristics method, finite differences scheme
In this paper, consideration is given to the numerical solution of the transient flow in prismatic open channels. The mathematical formulation is based on the application of mass and momentum conservation laws. This problem has been solved by two methods, which are: the characteristics grid method, using non-linear integration, and the finite difference conservative scheme. Two applications of transient flow in rectangular channel are considered. To verify the validity of the used numerical techniques, the computed results are compared for different boundary conditions. These comparisons demonstrate that results obtained by the method of characteristics agree with those of the conservative finite difference method when no hydraulic bore occurs. Nevertheless, the finite difference con- servative method is more practical and can capture the hydraulic bore with precision and without any special treatment. A further comparison shows good agreement between finite difference method results and literature-quoted numerical computations.
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