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Dynamic Rupture Modeling on Unstructured Meshes Using a Discontinuous Galerkin Method

De la Puente, Josep, Jean-Paul Ampuero, and Martin Käser (2009), Dynamic Rupture Modeling on Unstructured Meshes Using a Discontinuous Galerkin Method, J. Geophys. Res., 114, B10302, doi:10.1029/2008JB006271.

Abstract
We introduce the application of an arbitrary high-order derivative (ADER)
discontinuous Galerkin (DG) method to simulate earthquake rupture dynamics. The
ADER-DG method uses triangles as computational cells which simplifies the process of
discretization of very complex surfaces and volumes by using external automated tools.
Discontinuous Galerkin methods are well suited for solving dynamic rupture problems in
the velocity-stress formulation as the variables are naturally discontinuous at the interface
between two elements. Therefore, the fault has to be honored by the computational
mesh. The so-called Riemann problem can be solved to obtain well defined values of the
variables at the discontinuity itself. Fault geometries of high complexity can be modeled
thanks to the flexibility of unstructured meshes, which solves a major bottleneck of
other high-order numerical methods. Additionally, element refinement and coarsening are
easily controlled in the meshing process to better resolve the near-fault area of the model.
The fundamental properties of the method are shown, as well as a series of validating
exercises with reference solutions and a comparison with the well-established finite
difference, boundary integral, and spectral element methods, in order to test the accuracy
of our formulation. An example of dynamic rupture on a nonplanar fault based upon the
Landers 1992 earthquake fault system is presented to illustrate the main potentials
of the new method.
BibTeX
@article{id1361,
  author = {Josep de la Puente and Jean-Paul Ampuero and Martin K{\"a}ser},
  journal = {J. Geophys. Res.},
  pages = {B10302},
  title = {{Dynamic Rupture Modeling on Unstructured Meshes Using a Discontinuous Galerkin Method}},
  volume = {114},
  year = {2009},
  doi = {10.1029/2008JB006271},
}
EndNote
%0 Journal Article
%A de la Puente, Josep
%A Ampuero, Jean-Paul
%A Käser, Martin
%D 2009
%V 114
%J J. Geophys. Res.
%P B10302
%T Dynamic Rupture Modeling on Unstructured Meshes Using a Discontinuous Galerkin Method
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Printed 25. Aug 2019 09:09