Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-23T01:41:31.700Z Has data issue: false hasContentIssue false
  • English
  • Français

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:[email protected]
Get access

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
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9thInternational Conference on Numerical Analysis and Optimization , 2010 , pp. 4 - 10
Copyright
© EDP Sciences, 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.