Optimisation and Local Time Stepping of an ADER-DG Scheme for Fully Anisotropic Wave Propagation in Complex Geometries

We present an extension of the earthquake simulation software SeisSol to support seismic wave propagation in fully triclinic anisotropic materials. To our best knowledge, SeisSol is one of the few open-source codes that offer this feature for simulations at petascale performance and beyond. We employ a Discontinuous Galerkin (DG) method with arbitrary high-order derivative (ADER) time stepping. Here, we present a novel implementation of fully physical anisotropy with a two-sided Godunov flux and local time stepping. We validate our implementation on various benchmarks and present convergence analysis with respect to analytic solutions. An application example of seismic waves scattering around the Zugspitze in the Bavarian Alps demonstrates the capabilities of our implementation to solve geophysics problems fast.

@inproceedings{id2526,
  author = {Wolf, Sebastian and Gabriel, Alice-Agnes and Bader, Michael},
  booktitle = {Computational Science {\textendash} ICCS 2020},
  doi = {10.1007/978-3-030-50420-5\_3},
  editor = {Krzhizhanovskaya V. et al.},
  language = {en},
  series = {Lecture Notes in Computer Science},
  title = {Optimisation and Local Time Stepping of an ADER-DG Scheme for Fully Anisotropic Wave Propagation in Complex Geometries},
  url = {https://link.springer.com/chapter/10.1007/978-3-030-50420-5\_3},
  volume = {12139},
  year = {2020},
}

%O Conference Proceedings
%A Wolf, Sebastian
%A Gabriel, Alice-Agnes
%A Bader, Michael
%B Computational Science – ICCS 2020
%R 10.1007/978-3-030-50420-5_3
%E Krzhizhanovskaya V. et al.
%G en
%S Lecture Notes in Computer Science
%T Optimisation and Local Time Stepping of an ADER-DG Scheme for Fully Anisotropic Wave Propagation in Complex Geometries
%U https://link.springer.com/chapter/10.1007/978-3-030-50420-5_3
%V 12139
%D 2020