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...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | https://doi.org/10.1051/proc/201861001 |
| _version_ | 1797968494072954880 |
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| author | Antonietti Paola F. Ferroni Alberto Mazzieri Ilario Paolucci Roberto Quarteroni Alfio Smerzini Chiara Stupazzini Marco |
| author_facet | Antonietti Paola F. Ferroni Alberto Mazzieri Ilario Paolucci Roberto Quarteroni Alfio Smerzini Chiara Stupazzini Marco |
| author_sort | Antonietti Paola F. |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-11T02:47:46Z |
| format | Article |
| id | doaj.art-8f819232a1d54c8b85ed48b6d11eb776 |
| institution | Directory Open Access Journal |
| issn | 2267-3059 |
| language | English |
| last_indexed | 2024-04-11T02:47:46Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj.art-8f819232a1d54c8b85ed48b6d11eb7762023-01-02T17:37:53ZengEDP 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 |
| 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 |
| title | 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_short | Numerical modeling of seismic waves by discontinuous spectral element methods★ |
| title_sort | numerical modeling of seismic waves by discontinuous spectral element methods★ |
| url | https://doi.org/10.1051/proc/201861001 |
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