RBF Based Meshless Method for Large Scale Shallow Water Simulations: Experimental Validation
Y. Alhuri; A. Naji; D. Ouazar; A. Taik
Mathematical Modelling of Natural Phenomena (2010)
- Volume: 5, Issue: 7, page 4-10
- ISSN: 0973-5348
Access Full Article
top
Abstract
topHow to cite
topAlhuri, Y., et al. Taik, A., ed. "RBF Based Meshless Method for Large Scale Shallow Water Simulations: Experimental Validation." Mathematical Modelling of Natural Phenomena 5.7 (2010): 4-10. <http://eudml.org/doc/197669>.
@article{Alhuri2010,
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},
author = {Alhuri, Y., Naji, A., Ouazar, D., Taik, A.},
editor = {Taik, A.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {shallow water equations; depth-averaged k − ε model; radial basis functions; collocation points},
language = {eng},
month = {8},
number = {7},
pages = {4-10},
publisher = {EDP Sciences},
title = {RBF Based Meshless Method for Large Scale Shallow Water Simulations: Experimental Validation},
url = {http://eudml.org/doc/197669},
volume = {5},
year = {2010},
}
TY - JOUR
AU - Alhuri, Y.
AU - Naji, A.
AU - Ouazar, D.
AU - Taik, A.
AU - Taik, A.
TI - RBF Based Meshless Method for Large Scale Shallow Water Simulations: Experimental Validation
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/8//
PB - EDP Sciences
VL - 5
IS - 7
SP - 4
EP - 10
AB - 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
LA - eng
KW - shallow water equations; depth-averaged k − ε model; radial basis functions; collocation points
UR - http://eudml.org/doc/197669
ER -
References
top- M. Buhamman. Radial basis functions: theory and implementations. Cambridge University Press, 2003.
- J. Fe, F. Navarrina, J. Puertas, P. Vellando, D. Ruiz. Experimental validation of two depth-averaged turbulence models. Int. J. Numer. Meth. Fluids, 60 (2009), 177-202.
- E.J. Kansa, R.E. Carlson. Improved accuracy of multiquadric interpolation using variable shape parameters. Comput. Math. Applic., 24 (1992), No. 12, 99–120.
- E.J. Kansa. Multiquadrics a scattered data approximation scheme with application to computational fluid dynamics. Part I, Comput. Math. Applic., 19 (1990), 127–145.
- 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, 104 (HY3) (1978), 397-418.
- 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.
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.