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Solid Earth An interactive open-access journal of the European Geosciences Union

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Solid Earth, 4, 43-57, 2013
https://doi.org/10.5194/se-4-43-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.
Method article
30 Jan 2013
Regional wave propagation using the discontinuous Galerkin method
S. Wenk1, C. Pelties1, H. Igel1, and M. Käser2 1Department of Earth and Environmental Sciences, Geophysics Section, Ludwig-Maximilians-Universität, Munich, Germany
2Geo Risks Research, Munich Re, Munich, Germany
Abstract. We present an application of the discontinuous Galerkin (DG) method to regional wave propagation. The method makes use of unstructured tetrahedral meshes, combined with a time integration scheme solving the arbitrary high-order derivative (ADER) Riemann problem. This ADER-DG method is high-order accurate in space and time, beneficial for reliable simulations of high-frequency wavefields over long propagation distances. Due to the ease with which tetrahedral grids can be adapted to complex geometries, undulating topography of the Earth's surface and interior interfaces can be readily implemented in the computational domain. The ADER-DG method is benchmarked for the accurate radiation of elastic waves excited by an explosive and a shear dislocation source. We compare real data measurements with synthetics of the 2009 L'Aquila event (central Italy). We take advantage of the geometrical flexibility of the approach to generate a European model composed of the 3-D EPcrust model, combined with the depth-dependent ak135 velocity model in the upper mantle. The results confirm the applicability of the ADER-DG method for regional scale earthquake simulations, which provides an alternative to existing methodologies.

Citation: Wenk, S., Pelties, C., Igel, H., and Käser, M.: Regional wave propagation using the discontinuous Galerkin method, Solid Earth, 4, 43-57, https://doi.org/10.5194/se-4-43-2013, 2013.
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