Volume 61, 201843-ème Congrès National d'Analyse Numérique, CANUM2016
|Page(s)||1 - 37|
|Published online||12 October 2018|
Numerical modeling of seismic waves by discontinuous spectral element methods★
MOX, Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano, Italy
2 MOX, Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano, Italy
3 MOX, Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano, Italy
4 Dipartimento di Ingegneria Civile ad Ambientale, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano, Italy
5 CMCS, Ecole Polytechnique Federale de Lausanne (EPFL), Station 8, 1015 Lausanne, Switzerland
6 Dipartimento di Ingegneria Civile ad Ambientale, Piazza Leonardo da Vinci 32, I-20133 Milano, Italy
7 Munich Re, Munich, Königinstr. 107, 80802, Germany
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### e-mail: MStupazzini@munichre.com
We present a comprehensive review of Discontinuous Galerkin Spectral Element (DGSE) methods on hybrid hexahedral/tetrahedral grids for the numerical modeling of the ground motion induced by large earthquakes. DGSE methods combine the exibility of discontinuous Galerkin meth-ods to patch together, through a domain decomposition paradigm, Spectral Element blocks where high-order polynomials are used for the space discretization. This approach allows local adaptivity on discretization parameters, thus improving the quality of the solution without affecting the compu-tational costs. The theoretical properties of the semidiscrete formulation are also revised, including well-posedness, stability and error estimates. A discussion on the dissipation, dispersion and stability properties of the fully-discrete (in space and time) formulation is also presented. Here space dis-cretization is obtained based on employing the leap-frog time marching scheme. The capabilities of the present approach are demonstrated through a set of computations of realistic earthquake scenar-ios obtained using the code SPEED (http://speed.mox.polimi.it), an open-source code specifically designed for the numerical modeling of large-scale seismic events jointly developed at Politecnico di Milano by The Laboratory for Modeling and Scientific Computing MOX and by the Department of Civil and Environmental Engineering.
© EDP Sciences, SMAI 2018
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