Geodesic
RBF Based Meshless Method for Large Scale Shallow Water Simulations: Experimental Validation
Y. Alhuri1 ; A. Naji2 ; D. Ouazar3 ; A. Taik1
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
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 4-10.

Voir la notice de l'article provenant de la source EDP Sciences

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
DOI : 10.1051/mmnp/20105701

Y. Alhuri 1 ; A. Naji 2 ; D. Ouazar 3 ; A. Taik 1

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 
@article{MMNP_2010_5_7_Supplement_a1,
     author = {Y. Alhuri and A. Naji and D. Ouazar and A. Taik},
     title = {RBF {Based} {Meshless} {Method} for {Large} {Scale} {Shallow} {Water} {Simulations:} {Experimental} {Validation}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {4--10},
     publisher = {mathdoc},
     volume = {5},
     number = {7 Supplement},
     year = {2010},
     doi = {10.1051/mmnp/20105701},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105701/}
}
TY  - JOUR
AU  - Y. Alhuri
AU  - A. Naji
AU  - D. Ouazar
AU  - A. Taik
TI  - RBF Based Meshless Method for Large Scale Shallow Water Simulations: Experimental Validation
JO  - Mathematical modelling of natural phenomena
PY  - 2010
SP  - 4
EP  - 10
VL  - 5
IS  - 7 Supplement
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105701/
DO  - 10.1051/mmnp/20105701
LA  - en
ID  - MMNP_2010_5_7_Supplement_a1
ER  - 
%0 Journal Article
%A Y. Alhuri
%A A. Naji
%A D. Ouazar
%A A. Taik
%T RBF Based Meshless Method for Large Scale Shallow Water Simulations: Experimental Validation
%J Mathematical modelling of natural phenomena
%D 2010
%P 4-10
%V 5
%N 7 Supplement
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105701/
%R 10.1051/mmnp/20105701
%G en
%F MMNP_2010_5_7_Supplement_a1
Y. Alhuri; A. Naji; D. Ouazar; A. Taik. RBF Based Meshless Method for Large Scale Shallow Water Simulations: Experimental Validation. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 4-10. doi : 10.1051/mmnp/20105701. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105701/

[1] M. Buhamman. Radial basis functions: theory and implementations. Cambridge University Press, 2003.

[2] J. Fe, F. Navarrina, J. Puertas, P. Vellando, D. Ruiz Experimental validation of two depth-averaged turbulence models Int. J. Numer. Meth. Fluids 2009 177 202

[3] E.J. Kansa, R.E. Carlson Improved accuracy of multiquadric interpolation using variable shape parameters Comput. Math. Applic. 1992 99 120

[4] E.J. Kansa Multiquadrics a scattered data approximation scheme with application to computational fluid dynamics Part I, Comput. Math. Applic. 1990 127 145

[5] A. Rastogi, W. Rodi Predictions of heat and mass transfer in open channels Journal of the Hydraulics Division, proceedings of the American Society of Civil Engineers 1978 397 418

[6] S.M. Wong. Meshless methods for large-scale computations by radial basis functions. Ph.D. Thesis, City Univ. Hong Kong, China, 2001.

[7] C.B. Vreudgenhil. Numerical methods for shallow-water flow. Kluwer Academic Publishers: Dordrecht, The Netherlands, 1994.

Cité par Sources :