Discontinuous Galerkin methods for solving the acoustic wave equation

Autores
Castromán, Gabriel Alejandro; Zyserman, Fabio Iván
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work we develop a numerical simulator for the propagation of elastic waves by solving the one-dimensional acoustic wave equation with Absorbing Boundary Conditions (ABC’s) on the computational boundaries using Discontinuous Galerkin Finite Element Methods (DGFEM). The DGFEM allows us to easily simulate the presence of a fracture in the elastic medium by means of a linear-slip model. We analize the behaviour of our algorithm by comparing its results against analytic solutions. Furthermore, we show the frequency-dependent effect on the propagation produced by the fracture as appears in previous works. Finally, we present an analysis of the numerical parameters of the method.
Facultad de Ciencias Astronómicas y Geofísicas
Materia
Física
Discontinuous galerkin methods
Wave equation
Absorbing boundary conditions
Fractured medium
Linear slip model
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/100100
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/100100
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Discontinuous Galerkin methods for solving the acoustic wave equationCastromán, Gabriel AlejandroZyserman, Fabio IvánFísicaDiscontinuous galerkin methodsWave equationAbsorbing boundary conditionsFractured mediumLinear slip modelIn this work we develop a numerical simulator for the propagation of elastic waves by solving the one-dimensional acoustic wave equation with Absorbing Boundary Conditions (ABC’s) on the computational boundaries using Discontinuous Galerkin Finite Element Methods (DGFEM). The DGFEM allows us to easily simulate the presence of a fracture in the elastic medium by means of a linear-slip model. We analize the behaviour of our algorithm by comparing its results against analytic solutions. Furthermore, we show the frequency-dependent effect on the propagation produced by the fracture as appears in previous works. Finally, we present an analysis of the numerical parameters of the method.Facultad de Ciencias Astronómicas y Geofísicas2013-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf3905-3918http://sedici.unlp.edu.ar/handle/10915/100100enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/23521info:eu-repo/semantics/altIdentifier/url/http://www.cimec.org.ar/ojs/index.php/mc/article/view/4592info:eu-repo/semantics/altIdentifier/issn/1666-6070info:eu-repo/semantics/altIdentifier/hdl/11336/23521info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T10:52:12Zoai:sedici.unlp.edu.ar:10915/100100Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:52:12.284SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Discontinuous Galerkin methods for solving the acoustic wave equation
title Discontinuous Galerkin methods for solving the acoustic wave equation
spellingShingle Discontinuous Galerkin methods for solving the acoustic wave equation
Castromán, Gabriel Alejandro
Física
Discontinuous galerkin methods
Wave equation
Absorbing boundary conditions
Fractured medium
Linear slip model
title_short Discontinuous Galerkin methods for solving the acoustic wave equation
title_full Discontinuous Galerkin methods for solving the acoustic wave equation
title_fullStr Discontinuous Galerkin methods for solving the acoustic wave equation
title_full_unstemmed Discontinuous Galerkin methods for solving the acoustic wave equation
title_sort Discontinuous Galerkin methods for solving the acoustic wave equation
dc.creator.none.fl_str_mv Castromán, Gabriel Alejandro
Zyserman, Fabio Iván
author Castromán, Gabriel Alejandro
author_facet Castromán, Gabriel Alejandro
Zyserman, Fabio Iván
author_role author
author2 Zyserman, Fabio Iván
author2_role author
dc.subject.none.fl_str_mv Física
Discontinuous galerkin methods
Wave equation
Absorbing boundary conditions
Fractured medium
Linear slip model
topic Física
Discontinuous galerkin methods
Wave equation
Absorbing boundary conditions
Fractured medium
Linear slip model
dc.description.none.fl_txt_mv In this work we develop a numerical simulator for the propagation of elastic waves by solving the one-dimensional acoustic wave equation with Absorbing Boundary Conditions (ABC’s) on the computational boundaries using Discontinuous Galerkin Finite Element Methods (DGFEM). The DGFEM allows us to easily simulate the presence of a fracture in the elastic medium by means of a linear-slip model. We analize the behaviour of our algorithm by comparing its results against analytic solutions. Furthermore, we show the frequency-dependent effect on the propagation produced by the fracture as appears in previous works. Finally, we present an analysis of the numerical parameters of the method.
Facultad de Ciencias Astronómicas y Geofísicas
description In this work we develop a numerical simulator for the propagation of elastic waves by solving the one-dimensional acoustic wave equation with Absorbing Boundary Conditions (ABC’s) on the computational boundaries using Discontinuous Galerkin Finite Element Methods (DGFEM). The DGFEM allows us to easily simulate the presence of a fracture in the elastic medium by means of a linear-slip model. We analize the behaviour of our algorithm by comparing its results against analytic solutions. Furthermore, we show the frequency-dependent effect on the propagation produced by the fracture as appears in previous works. Finally, we present an analysis of the numerical parameters of the method.
publishDate 2013
dc.date.none.fl_str_mv 2013-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/100100
url http://sedici.unlp.edu.ar/handle/10915/100100
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/23521
info:eu-repo/semantics/altIdentifier/url/http://www.cimec.org.ar/ojs/index.php/mc/article/view/4592
info:eu-repo/semantics/altIdentifier/issn/1666-6070
info:eu-repo/semantics/altIdentifier/hdl/11336/23521
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
3905-3918
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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