A Discontinuous Galerkin Method for the Shallow Water Equations with Source Terms

  • Dirk Schwanenberg
  • Jürgen Köngeter
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 11)


The authors present a numerical solution for the shallow water equations based on the Runge Kutta Discontinuous Galerkin method. Modeling sink and source terms introduces restrictions to the space discretization and a modification of the slope limiter. Hydraulic test problems and a real-world application show the good performance of the scheme.


Discontinuous Galerkin Shallow Water Equation Discontinuous Galerkin Method Friction Loss Numerical Flux 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Dirk Schwanenberg
    • 1
  • Jürgen Köngeter
    • 1
  1. 1.Institute of Hydraulic Engineering and Water Resources ManagementAachen University of TechnologyAachenGermany

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