SeisSol swMATH ID: 843 Software Authors: Käser, Martin; Castro, Cristobal; Hermann, Verena; Pelties, Christian Description: We present important extensions of the software SeisSol based on the arbitrary high-order Discontinuous Galerkin (DG) Finite-Element method to model seismic wave propagation using non-conforming hybrid meshes for model discretization and to account for highly heterogeneous material. In these new approaches we include a point-wise integration of numerical fluxes across element interfaces for the non-conforming boundaries preserving numerical accuracy while avoiding numerical artifacts due to the mesh coupling. We apply the proposed scheme to a scenario test case of the Grenoble valley to demonstrate the methods capability. Furthermore, we present the extension to space-variable coefficients to describe material variations inside each element using the same numerical approximation strategy as for the velocity-stress variables in the formulation of the wave equation. The combination of the DG method with a time integration scheme based on the solution of Arbitrary accuracy DErivatives Riemann problems (ADER) still provides an explicit, one-step scheme which achieves arbitrary high-order accuracy in space and time. We confirm the accuracy of the proposed scheme a numerical experiments considering randomly heterogeneous material and compare our results to independent reference solutions. Finally, we apply the scheme to an earthquake scenario considering the effect of a sedimentary basin and compare the efficiency of the classical global time stepping technique and the local time stepping for different partitioning strategies and show results for a strong scaling test. Homepage: http://www.geophysik.uni-muenchen.de/~kaeser/SeisSol/ Keywords: {\tt SeisSol} Related Software: LIBXSMM; PSpaMM; GiMMiK; Eigen Cited in: 2 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year SeisSol – a software for seismic wave propagation simulations. Zbl 1202.86017Käser, Martin; Castro, Cristobal; Hermann, Verena; Pelties, Christian 2010 all top 5 Cited by 6 Authors 1 Bader, Michael 1 Castro, Cristóbal E. 1 Hermann, Verena 1 Käser, Martin 1 Pelties, Christian 1 Uphoff, Carsten Cited in 1 Serial 1 ACM Transactions on Mathematical Software Cited in 4 Fields 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) Citations by Year