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RBF Based Meshless Method for Large Scale Shallow Water Simulations: 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−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

Keywords

shallow water equationsdepth-averaged k − ε modelradial basis functionscollocation points
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9th International Conference on Numerical Analysis and Optimization , 2010 , pp. 4 - 10
Copyright
© EDP Sciences, 2010

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References

M. Buhamman. Radial basis functions: theory and implementations. Cambridge University Press, 2003.
Fe, J., Navarrina, F., Puertas, J., Vellando, P., Ruiz, D.. Experimental validation of two depth-averaged turbulence models . Int. J. Numer. Meth. Fluids, 60 (2009), 177-202.CrossRefGoogle Scholar
Kansa, E.J., Carlson, R.E.. Improved accuracy of multiquadric interpolation using variable shape parameters . Comput. Math. Applic., 24 (1992), No. 12, 99–120.CrossRefGoogle Scholar
Kansa, E.J.. Multiquadrics a scattered data approximation scheme with application to computational fluid dynamics . Part I, Comput. Math. Applic., 19 (1990), 127–145.CrossRefGoogle Scholar
Rastogi, A., Rodi, W.. Predictions of heat and mass transfer in open channels . Journal of the Hydraulics Division, proceedings of the American Society of Civil Engineers, 104 (HY3) (1978), 397-418. Google Scholar
S.M. Wong. Meshless methods for large-scale computations by radial basis functions. Ph.D. Thesis, City Univ. Hong Kong, China, 2001.
C.B. Vreudgenhil. Numerical methods for shallow-water flow. Kluwer Academic Publishers: Dordrecht, The Netherlands, 1994.