Math. Model. Nat. Phenom.
Volume 5, Number 7, 2010JANO9 – The 9th International Conference on Numerical Analysis and Optimization
|Page(s)||4 - 10|
|Published online||26 August 2010|
RBF Based Meshless Method for Large Scale Shallow Water Simulations: Experimental Validation
Dept of Mathematics, UFR-MASI, FST, Hassan II University,
2 Dept of Mathematics, FST, Abdelmalek Essaadi University, Tanger, Morocco
3 Dept of Genie Civil, LASH, EMI, Mohammed V University, Rabat, Morocco
* Corresponding author: E-mail:
2D shallow water equations with depth-averaged k−ε 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 and are found to be satisfactory
Mathematics Subject Classification: 76F60 / 74G50
Key words: shallow water equations / depth-averaged k − ε model / radial basis functions / collocation points
© EDP Sciences, 2010
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