| Issue |
ESAIM: ProcS
Volume 61, 2018
43-ème Congrès National d'Analyse Numérique, CANUM2016
|
|
|---|---|---|
| Page(s) | 1 - 37 | |
| DOI | https://doi.org/10.1051/proc/201861001 | |
| Published online | 12 October 2018 | |
Numerical modeling of seismic waves by discontinuous spectral element methods★
1
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
*
e-mail: paola.antonietti@polimi.it
**
e-mail: alberto.ferroni@polimi.it
***
e-mail: ilario.mazzieri@polimi.it
*****
e-mail: roberto.paolucci@polimi.it
#
e-mail: alfio.quarteroni@epfl.ch
##
e-mail: chiara.smerzini@polimi.it
###
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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