Issue |
Math. Model. Nat. Phenom.
Volume 5, Number 7, 2010
JANO9 – The 9th International Conference on Numerical Analysis and Optimization
|
|
---|---|---|
Page(s) | 4 - 10 | |
DOI | https://doi.org/10.1051/mmnp/20105701 | |
Published online | 26 August 2010 |
RBF Based Meshless Method for Large Scale Shallow Water Simulations: Experimental Validation
1
Dept of Mathematics, UFR-MASI, FST, Hassan II University,
Mohammedia,
Morocco
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:
yasseralhuri@yahoo.com
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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