Well-Balanced Inundation Modeling for Shallow-Water Flows with Discontinuous Galerkin Schemes

  • Stefan VaterEmail author
  • Jörn Behrens
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 78)


Modeling coastal inundation for tsunami and storm surge hazard mitigation is an important application of geoscientific numerical modeling. While the complex topography demands for robust and locally accurate schemes, computational parallel efficiency and discrete conservation properties of the scheme are required. In order to meet these requirements, Runge-Kutta discontinuous Galerkin numerical methods are attractive. However, maintaining conservation and well-balancedness of these schemes with wetting/drying boundary conditions poses a challenge. We address this issue by a local nondestructive modification of the flux computation at boundary cells, which maintains accuracy, conservation and well-balancedness. The development can be viewed as a specialized flux limiter, which proves its usefulness with three different test cases for inundation simulation.


Discontinuous Galerkin Bottom Topography Shallow Water Equation Discontinuous Galerkin Method Discontinuous Galerkin Scheme 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The authors would like to thank the Volkswagen foundation for their support through the ASCETE (Advanced Simulation of Coupled Earthquake and Tsunami Events) project. The second author also gratefully acknowledges support through ASTARTE—Assessment, STrategy And Risk Reduction for Tsunamis in Europe. Grant 603839, 7th FP (ENV.2013.6.4-3 ENV.2013.6.4-3).


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Center for Earth System Research and Sustainability (CEN), Universität HamburgHamburgGermany

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