A Godunov-Type Scheme for Shallow Water Equations Dedicated to Simulations of Overland Flows on Stepped Slopes

  • Nicole Goutal
  • Minh-Hoang LeEmail author
  • Philippe Ung
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 200)


We introduce a new Godunov-type finite volume scheme for the Shallow Water equations based on a three-waves Approximate Riemann Solver. By linearizing the Bernoulli and consistency equations, the resulting scheme is positive, well-balanced and permits to improve the accuracy of numerical results compared with other methods. The proposed scheme is particularly suitable for simulations of overland flows on stepped slopes.


Shallow-water equations Finite volume schemes Source term approximations Well–balanced schemes 


65M12 76M12 35L65 


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Laboratoire d’Hydraulique Saint Venant (LHSV)ChatouFrance
  2. 2.LHSV and EDF R& DChatouFrance

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