LAX-FRIEDRICHS NUMERICAL SCHEME FOR SIMULATING THE FAILURE WAVE OF A DAM IN THE PRESENCE OF OBSTACLES

T. IKNI, A. BERREKSI, L. TOUAZI, M. BELHOCINE

Abstract


Numerical methods are very useful for predicting water levels, velocities and flow rates in hydraulic systems. The Saint-Venant system of equations, which is a hyperbolic partial differential system, is widely used in the modelling of a flood wave due to a dam failure. In this study, two explicit finite difference Lax-Friedrichs and modified Lax-Friedrichs numerical schemes are used to simulate the failure wave of a dam. The calibration of the obtained results is done in relation to experimental measurements and numerical results existing in the literature specialized in this field of research. The experimental set-up consists of a water reservoir that simulates the reservoir of a dam, followed downstream by a horizontal dry bottom section, a triangular bottom sill with steep slopes and a small tide of water at rest after the triangular obstacle which ends with a vertical diaphragm.  The simulation obtained results with the new formulation of the Lax-Friedrichs numerical scheme showed good agreement with the simulated, experimental and numerical results of other researchers.


Keywords


Obstacle, Experimental data, Free surface flow, Numerical schemes, Reservoir, Numerical simulation, Flood wave, Lax-Friedrichs scheme.

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References


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