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Roe Scheme for Two-layer Shallow Water Equations: Application to the Strait of Gibraltar

M. ChakirD. OuazarA. Taik — 2009

Mathematical Modelling of Natural Phenomena

The flow trough the Strait of Gibraltar could be analyzed as a problem of two-layer hydraulic exchange between the Atlantic ocean and the Mediterranean sea. The shallow water equations in both layers coupled together are an important tool to simulate this phenomenon. In this paper we perform an upwind schemes for hyperbolic equations based on the Roe approximate Riemann solver, to study the resulting model. The main goal assigned was to predict the location of the interface between the two layers....

Hybrid Particle Swarm and Neural Network Approach for Streamflow Forecasting

A. SedkiD. Ouazar — 2010

Mathematical Modelling of Natural Phenomena

In this paper, an artificial neural network (ANN) based on hybrid algorithm combining particle swarm optimization (PSO) with back-propagation (BP) is proposed to forecast the daily streamflows in a catchment located in a semi-arid region in Morocco. The PSO algorithm has a rapid convergence during the initial stages of a global search, while the BP algorithm can achieve faster convergent speed around the global optimum. By combining the PSO with...

RBF Based Meshless Method for Large Scale Shallow Water Simulations: Experimental Validation

Y. AlhuriA. NajiD. OuazarA. Taik — 2010

Mathematical Modelling of Natural Phenomena

2D shallow water equations with depth-averaged − model is considered. A meshless method based on multiquadric radial basis functions is described. This methods is based on the collocation formulation and does not require the generation of a grid and any integral evaluation. The application of this method to a flow in horizontal channel, taken as an experimental device, is presented. The results of computations are compared with experimental data...

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