Abstract
A numerical comparison is presented between a meshless method and a finite volume method for solving the shallow water equations. The meshless method uses the multiquadric radial basis functions whereas a modified Roe reconstruction is used in the finite volume method. The obtained results using both methods are compared to experimental measurements.
MSC2010: 15A09, 65N08, 65F10
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Acknowledgements
The authors would like to thank Prof. Jaime Fe Marqués for providing the experimental data to us.
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© 2011 Springer-Verlag Berlin Heidelberg
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Alhuri, Y., Benkhaldoun, F., Elmahi, I., Ouazar, D., Seaïd, M., Taik, A. (2011). A comparison between the meshless and the finite volume methods for shallow water flows. In: Fořt, J., Fürst, J., Halama, J., Herbin, R., Hubert, F. (eds) Finite Volumes for Complex Applications VI Problems & Perspectives. Springer Proceedings in Mathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20671-9_2
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DOI: https://doi.org/10.1007/978-3-642-20671-9_2
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