A Finite Volume Method for Large-Eddy Simulation of Shallow Water Equations

  • Rajaa Abdellaoui
  • Fayssal BenkhaldounEmail author
  • Imad Elmahi
  • Mohammed Seaid
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 78)


We present a robust finite volume method for large-eddy simulation of shallow water flows. The governing equations are derived from the Navier-Stokes equations with assumptions of shallow water flows including bed frictions and eddy viscosity. The turbulence effects are incorporated in the system by considering the Smagorinsky model. The numerical fluxes are reconstructed using a modified Roe’s scheme that incorporates, in its reconstruction, the sign of the Jacobian matrix of the convective part of the large-eddy shallow water equations. The diffusion terms are discretized using a Green-Gauss diamond reconstruction. The proposed method is verified for the benchmark problem of flow around a circular cylinder.


Circular Cylinder Finite Volume Method Shallow Water Equation Water Height Smagorinsky Model 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Rajaa Abdellaoui
    • 1
  • Fayssal Benkhaldoun
    • 2
    Email author
  • Imad Elmahi
    • 1
  • Mohammed Seaid
    • 3
  1. 1.ENSAO Complex UniversitaireOujdaMorocco
  2. 2.LAGA, Université Paris 13VilletaneuseFrance
  3. 3.School of Engineering and Computing SciencesUniversity of DurhamDurhamUK

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