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RBF Based Meshless Method for Large Scale Shallow WaterSimulations: Experimental Validation

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
Y. Alhuri ,
A. Naji ,
D. Ouazar  and
A. Taik
Y. Alhuri*
Affiliation:
Dept of Mathematics, UFR-MASI, FST, Hassan II University, Mohammedia, Morocco
A. Naji
Affiliation:
Dept of Mathematics, FST, Abdelmalek Essaadi University, Tanger, Morocco
D. Ouazar
Affiliation:
Dept of Genie Civil, LASH, EMI, Mohammed V University, Rabat, Morocco
A. Taik
Affiliation:
Dept of Mathematics, UFR-MASI, FST, Hassan II University, Mohammedia, Morocco
*
*Corresponding author: E-mail:yasseralhuri@yahoo.com
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Abstract

2D shallow water equations with depth-averaged k−εmodel is considered. A meshless method based on multiquadric radial basis functions isdescribed. This methods is based on the collocation formulation and does not require thegeneration of a grid and any integral evaluation. The application of this method to a flowin horizontal channel, taken as an experimental device, is presented. The results ofcomputations are compared with experimental data and are found to be satisfactory

Keywords

shallow water equationsdepth-averaged k − ε modelradial basis functionscollocation points

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References

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