Discontinuous Galerkin methods for solving the acoustic wave equation

Autores
Castromán, Gabriel Alejandro; Zyserman, Fabio Ivan
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.
Fil: Castromán, Gabriel Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas. Departamento de Geofísica Aplicada; Argentina
Fil: Zyserman, Fabio Ivan. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas. Departamento de Geofísica Aplicada; Argentina
Materia
Discontinuous Galerkin methods
Wave Equation
Absorbing Boundary Conditions
Fractured medium
Linear Slip Model
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/23521
Acceder
id CONICETDig_b58eedd947b7f633fcd0102be724e777
oai_identifier_str oai:ri.conicet.gov.ar:11336/23521
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Discontinuous Galerkin methods for solving the acoustic wave equationCastromán, Gabriel AlejandroZyserman, Fabio IvanDiscontinuous Galerkin methodsWave EquationAbsorbing Boundary ConditionsFractured mediumLinear Slip Modelhttps://purl.org/becyt/ford/1.5https://purl.org/becyt/ford/1In 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.Fil: Castromán, Gabriel Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas. Departamento de Geofísica Aplicada; ArgentinaFil: Zyserman, Fabio Ivan. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas. Departamento de Geofísica Aplicada; ArgentinaAsociación Argentina de Mecánica Computacional2013-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/23521Castromán, Gabriel Alejandro; Zyserman, Fabio Ivan; Discontinuous Galerkin methods for solving the acoustic wave equation; Asociación Argentina de Mecánica Computacional; Mecánica Computacional; XXXII; 45; 11-2013; 3905-39181666-6070CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.cimec.org.ar/ojs/index.php/mc/article/view/4592info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-26T08:39:15Zoai:ri.conicet.gov.ar:11336/23521instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-26 08:39:16.117CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
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
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 Ivan
author Castromán, Gabriel Alejandro
author_facet Castromán, Gabriel Alejandro
Zyserman, Fabio Ivan
author_role author
author2 Zyserman, Fabio Ivan
author2_role author
dc.subject.none.fl_str_mv Discontinuous Galerkin methods
Wave Equation
Absorbing Boundary Conditions
Fractured medium
Linear Slip Model
topic Discontinuous Galerkin methods
Wave Equation
Absorbing Boundary Conditions
Fractured medium
Linear Slip Model
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.5
https://purl.org/becyt/ford/1
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.
Fil: Castromán, Gabriel Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas. Departamento de Geofísica Aplicada; Argentina
Fil: Zyserman, Fabio Ivan. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas. Departamento de Geofísica Aplicada; Argentina
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
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://hdl.handle.net/11336/23521
Castromán, Gabriel Alejandro; Zyserman, Fabio Ivan; Discontinuous Galerkin methods for solving the acoustic wave equation; Asociación Argentina de Mecánica Computacional; Mecánica Computacional; XXXII; 45; 11-2013; 3905-3918
1666-6070
CONICET Digital
CONICET
url http://hdl.handle.net/11336/23521
identifier_str_mv Castromán, Gabriel Alejandro; Zyserman, Fabio Ivan; Discontinuous Galerkin methods for solving the acoustic wave equation; Asociación Argentina de Mecánica Computacional; Mecánica Computacional; XXXII; 45; 11-2013; 3905-3918
1666-6070
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.cimec.org.ar/ojs/index.php/mc/article/view/4592
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Asociación Argentina de Mecánica Computacional
publisher.none.fl_str_mv Asociación Argentina de Mecánica Computacional
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1849872328948711424
score 13.011256

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