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

Abstract

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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

How to cite

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Alhuri, 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

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  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, 60 (2009), 177-202. Zbl1160.76020
  3. E.J. Kansa, R.E. Carlson. Improved accuracy of multiquadric interpolation using variable shape parameters. Comput. Math. Applic., 24 (1992), No. 12, 99–120. Zbl0765.65008
  4. E.J. Kansa. Multiquadrics a scattered data approximation scheme with application to computational fluid dynamics. Part I, Comput. Math. Applic., 19 (1990), 127–145. Zbl0692.76003
  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, 104 (HY3) (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.  

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