A comparison between the meshless and the finite volume methods for shallow water flows

  • Yasser Alhuri
  • Fayssal Benkhaldoun
  • Imad Elmahi
  • Driss Ouazar
  • Mohammed Seaïd
  • Ahmed Taik
Conference paper
Part of the Springer Proceedings in Mathematics book series (PROM, volume 4)


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.


Meshless method shallow water equations finite volume method radial basis functions numerical simulation 


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The authors would like to thank Prof. Jaime Fe Marqués for providing the experimental data to us.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Yasser Alhuri
    • 1
  • Fayssal Benkhaldoun
    • 2
  • Imad Elmahi
    • 3
  • Driss Ouazar
    • 4
  • Mohammed Seaïd
    • 5
  • Ahmed Taik
    • 1
  1. 1.Dept. Mathematics, UFR-MASI FSTHassan II University MohammediaMohammediaMorocco
  2. 2.LAGAUniversité Paris 13VilletaneuseFrance
  3. 3.ENSAO Complex UniversitaireOujdaMorocco
  4. 4.Dept. Genie Civil, LASH EMIMohammed V University RabatRabatMorocco
  5. 5.School of Engineering and Computing SciencesUniversity of DurhamDurhamUK

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