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An Explicit Staggered Finite Volume Scheme for the Shallow Water Equations

  • D. Doyen
  • P. H. GunawanEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 77)

Abstract

We propose an explicit finite volume scheme for the shallow water equations. The different unknowns of the system are approximated on staggered meshes. The numerical fluxes are computed with upwind and centered discretizations. We prove a number of properties of the scheme: positivity preserving, well-balanced, consistent with the global entropy inequality. We compare it with collocated schemes, using approximate Riemann solvers, on various problems.

Keywords

Shallow Water Equation Entropy Inequality Water Height Stagger Scheme Numerical Flux 
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References

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Université Paris-Est and CNRS, LAMA UMR8050Marne-la-ValléeFrance
  2. 2.Université Paris-Est and Institut Teknologi BandungBandungIndonesia

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