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

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Book cover Discontinuous Galerkin Methods

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 11))

Abstract

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.

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References

  • Cockburn, B. (1998): Discontinuous Galerkin methods for convection dominated problems. RTO-ATV/VKI Special Course: Higher order discretisation methods in computational fluid dynamics. von Karman Institute, Belgium.

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Author information

Authors and Affiliations

  1. Institute of Hydraulic Engineering and Water Resources Management, Aachen University of Technology, 52056, Aachen, Germany

    Dirk Schwanenberg & Jürgen Köngeter

Authors
  1. Dirk Schwanenberg
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  2. Jürgen Köngeter
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Editor information

Editors and Affiliations

  1. School of Mathematics, University of Minnesota, 206 Church Street S.E., Minneapolis, MN, 55455, USA

    Bernardo Cockburn

  2. Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    George E. Karniadakis  & Chi-Wang Shu  & 

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© 2000 Springer-Verlag Berlin Heidelberg

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Schwanenberg, D., Köngeter, J. (2000). A Discontinuous Galerkin Method for the Shallow Water Equations with Source Terms. In: Cockburn, B., Karniadakis, G.E., Shu, CW. (eds) Discontinuous Galerkin Methods. Lecture Notes in Computational Science and Engineering, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59721-3_42

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  • DOI: https://doi.org/10.1007/978-3-642-59721-3_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64098-8

  • Online ISBN: 978-3-642-59721-3

  • eBook Packages: Springer Book Archive

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