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Three-Dimensional Dynamic Rupture Simulation with a High-order Discontinuous Galerkin Method on Unstructured Tetrahedral Meshes

Pelties, Christian, Josep De la Puente, Jean-Paul Ampuero, Gilbert B. Brietzke, and Martin Käser (2012), Three-Dimensional Dynamic Rupture Simulation with a High-order Discontinuous Galerkin Method on Unstructured Tetrahedral Meshes, J. Geophys. Res. - Solid Earth, doi:10.1029/2011JB008857.

Abstract
Accurate and efficient numerical methods to simulate dynamic earthquake rupture and wave propagation in complex media and complex fault geometries are needed to address fundamental questions in earthquake dynamics, to integrate seismic and geodetic data into emerging approaches for dynamic source inversion and to generate realistic physics-based earthquake scenarios for hazard assessment. Modeling of spontaneous earthquake rupture and seismic wave propagation by a high-order discontinuous Galerkin (DG) method combined with an Arbitrarily high-order DERivatives (ADER) time integration method was introduced in 2D by de la Puente et al . The ADER-DG method enables high accuracy in space and time and discretization by unstructured meshes. Here we extend this method to three-dimensional dynamic rupture problems. The high geometrical flexibility provided by the usage of tetrahedral elements and the lack of spurious mesh reflections in ADER-DG allows the refinement of the mesh close to the fault, to model the rupture dynamics adequately while concentrating computational resources only where needed. Moreover, ADER-DG does not generate spurious high-frequency perturbations on the fault and hence does not require artificial Kelvin-Voigt damping. We verify our three-dimensional implementation by comparing results of the SCEC TPV3 test problem with two well established numerical methods, finite differences and spectral boundary integral. Furthermore, a convergence study is presented to demonstrate the systematic consistency of the method. To illustrate the capabilities of the high-order accurate ADER-DG scheme on unstructured meshes we simulate an earthquake scenario, inspired by the 1992 Landers earthquake, that includes curved faults, fault branches and surface topography.
BibTeX
@article{id1737,
  author = {Christian Pelties and Josep De la Puente and Jean-Paul Ampuero and Gilbert B. Brietzke and Martin K{\"a}ser},
  journal = {J. Geophys. Res. - Solid Earth},
  number = {117},
  title = {{Three-Dimensional Dynamic Rupture Simulation with a High-order Discontinuous Galerkin Method on Unstructured Tetrahedral Meshes}},
  year = {2012},
  doi = {10.1029/2011JB008857},
}
EndNote
%0 Journal Article
%A Pelties, Christian
%A De la Puente, Josep
%A Ampuero, Jean-Paul
%A Brietzke, Gilbert B.
%A Käser, Martin
%D 2012
%N 117
%J J. Geophys. Res. - Solid Earth
%T Three-Dimensional Dynamic Rupture Simulation with a High-order Discontinuous Galerkin Method on Unstructured Tetrahedral Meshes
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