Numerical modeling of seismic waves by discontinuous spectral element methods★
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, th...
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Online Access: | https://doi.org/10.1051/proc/201861001 |
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doaj-8f819232a1d54c8b85ed48b6d11eb7762021-07-15T14:14:28ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592018-01-016113710.1051/proc/201861001proc_esaim2018_001Numerical modeling of seismic waves by discontinuous spectral element methods★Antonietti Paola F.Ferroni AlbertoMazzieri IlarioPaolucci RobertoQuarteroni AlfioSmerzini ChiaraStupazzini MarcoWe 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.https://doi.org/10.1051/proc/201861001 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Antonietti Paola F. Ferroni Alberto Mazzieri Ilario Paolucci Roberto Quarteroni Alfio Smerzini Chiara Stupazzini Marco |
spellingShingle |
Antonietti Paola F. Ferroni Alberto Mazzieri Ilario Paolucci Roberto Quarteroni Alfio Smerzini Chiara Stupazzini Marco Numerical modeling of seismic waves by discontinuous spectral element methods★ ESAIM: Proceedings and Surveys |
author_facet |
Antonietti Paola F. Ferroni Alberto Mazzieri Ilario Paolucci Roberto Quarteroni Alfio Smerzini Chiara Stupazzini Marco |
author_sort |
Antonietti Paola F. |
title |
Numerical modeling of seismic waves by discontinuous spectral element methods★ |
title_short |
Numerical modeling of seismic waves by discontinuous spectral element methods★ |
title_full |
Numerical modeling of seismic waves by discontinuous spectral element methods★ |
title_fullStr |
Numerical modeling of seismic waves by discontinuous spectral element methods★ |
title_full_unstemmed |
Numerical modeling of seismic waves by discontinuous spectral element methods★ |
title_sort |
numerical modeling of seismic waves by discontinuous spectral element methods★ |
publisher |
EDP Sciences |
series |
ESAIM: Proceedings and Surveys |
issn |
2267-3059 |
publishDate |
2018-01-01 |
description |
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. |
url |
https://doi.org/10.1051/proc/201861001 |
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