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XVI International Conference on Hyperbolic Problems: Theory, Numerics, Applications

HYP 2016: Theory, Numerics and Applications of Hyperbolic Problems I pp 603–615Cite as

The Simulation of a Tsunami Run-Up Using Multiwavelet-Based Grid Adaptation

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 236))

Abstract

In (Gerhard et al., J Comput Phys 301, 265–288, 2015, [2]) a new class of adaptive discontinuous Galerkin schemes has been introduced for shallow water equations with drying and wetting. Grid adaptation is performed by means of a multiresolution analysis using multiwavelets. In this paper, we focus on the application to more realistic scenarios. To this end, we validate the adaptive scheme with the numerical simulation of a 1:400 scale experiment of a tsunami run-up.

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Author information

Authors and Affiliations

  1. Institut für Geometrie und Praktische Mathematik, RWTH Aachen University, Aachen, Germany

    Nils Gerhard & Siegfried Müller

Authors
  1. Nils Gerhard
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  2. Siegfried Müller
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Corresponding author

Correspondence to Nils Gerhard .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Würzburg University, Würzburg, Germany

    Christian Klingenberg

  2. Department of Mathematics, RWTH Aachen University, Aachen, Germany

    Michael Westdickenberg

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Gerhard, N., Müller, S. (2018). The Simulation of a Tsunami Run-Up Using Multiwavelet-Based Grid Adaptation. In: Klingenberg, C., Westdickenberg, M. (eds) Theory, Numerics and Applications of Hyperbolic Problems I. HYP 2016. Springer Proceedings in Mathematics & Statistics, vol 236. Springer, Cham. https://doi.org/10.1007/978-3-319-91545-6_46

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