Approximation of the inductionless MHD system with finite element techniques

In this work, a stabilized formulation to solve the inductionless magnetohydrodynamic (MHD) problem using the finite element method is presented. The important feature of this formulation resides in the design of the stabilization terms, which serve several purposes. First, convective dominated flow...

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Detalles Bibliográficos
Autor: Planas Badenas, Ramon|||0000-0002-0886-604X
Tipo de recurso: tesis de maestría
Fecha de publicación:2010
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099.1/12362
Acceso en línea:https://hdl.handle.net/2099.1/12362
Access Level:acceso abierto
Palabra clave:Magnetohydrodynamics
Finite element method
Inductionless MHD
HCLL test blanket module
primal-dual formulation
stabilized finite element
variational multiscale method
monolithic scheme
Magnetohidrodinàmica
Elements finits, Mètode dels
Elements finits, Mètode dels -- Enginyeria civil
Àrees temàtiques de la UPC::Enginyeria civil
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repository_id_str
spelling Approximation of the inductionless MHD system with finite element techniquesPlanas Badenas, Ramon|||0000-0002-0886-604XMagnetohydrodynamicsFinite element methodInductionless MHDHCLL test blanket moduleprimal-dual formulationstabilized finite elementvariational multiscale methodmonolithic schemeMagnetohidrodinàmicaElements finits, Mètode delsElements finits, Mètode dels -- Enginyeria civilÀrees temàtiques de la UPC::Enginyeria civilIn this work, a stabilized formulation to solve the inductionless magnetohydrodynamic (MHD) problem using the finite element method is presented. The important feature of this formulation resides in the design of the stabilization terms, which serve several purposes. First, convective dominated flows in the Navier-Stokes equations can be dealt with. Second, there is no need to use interpolation spaces subject to an inf-sup condition both for the pairs u-p and j- and therefore linear interpolation spaces can be used. Finally, this formulation allows to deal with flows with high values of the Hartmann number, that is, flows where the electromagnetic forces are much higher than the viscous forces.Universitat Politècnica de CatalunyaBadia, Santiago20102010-06-0120112011-06-30master thesishttp://purl.org/coar/resource_type/c_bdccNAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2099.1/12362reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2099.1/123622026-05-27T15:37:01Z
dc.title.none.fl_str_mv Approximation of the inductionless MHD system with finite element techniques
title Approximation of the inductionless MHD system with finite element techniques
spellingShingle Approximation of the inductionless MHD system with finite element techniques
Planas Badenas, Ramon|||0000-0002-0886-604X
Magnetohydrodynamics
Finite element method
Inductionless MHD
HCLL test blanket module
primal-dual formulation
stabilized finite element
variational multiscale method
monolithic scheme
Magnetohidrodinàmica
Elements finits, Mètode dels
Elements finits, Mètode dels -- Enginyeria civil
Àrees temàtiques de la UPC::Enginyeria civil
title_short Approximation of the inductionless MHD system with finite element techniques
title_full Approximation of the inductionless MHD system with finite element techniques
title_fullStr Approximation of the inductionless MHD system with finite element techniques
title_full_unstemmed Approximation of the inductionless MHD system with finite element techniques
title_sort Approximation of the inductionless MHD system with finite element techniques
dc.creator.none.fl_str_mv Planas Badenas, Ramon|||0000-0002-0886-604X
author Planas Badenas, Ramon|||0000-0002-0886-604X
author_facet Planas Badenas, Ramon|||0000-0002-0886-604X
author_role author
dc.contributor.none.fl_str_mv Badia, Santiago
dc.subject.none.fl_str_mv Magnetohydrodynamics
Finite element method
Inductionless MHD
HCLL test blanket module
primal-dual formulation
stabilized finite element
variational multiscale method
monolithic scheme
Magnetohidrodinàmica
Elements finits, Mètode dels
Elements finits, Mètode dels -- Enginyeria civil
Àrees temàtiques de la UPC::Enginyeria civil
topic Magnetohydrodynamics
Finite element method
Inductionless MHD
HCLL test blanket module
primal-dual formulation
stabilized finite element
variational multiscale method
monolithic scheme
Magnetohidrodinàmica
Elements finits, Mètode dels
Elements finits, Mètode dels -- Enginyeria civil
Àrees temàtiques de la UPC::Enginyeria civil
description In this work, a stabilized formulation to solve the inductionless magnetohydrodynamic (MHD) problem using the finite element method is presented. The important feature of this formulation resides in the design of the stabilization terms, which serve several purposes. First, convective dominated flows in the Navier-Stokes equations can be dealt with. Second, there is no need to use interpolation spaces subject to an inf-sup condition both for the pairs u-p and j- and therefore linear interpolation spaces can be used. Finally, this formulation allows to deal with flows with high values of the Hartmann number, that is, flows where the electromagnetic forces are much higher than the viscous forces.
publishDate 2010
dc.date.none.fl_str_mv 2010
2010-06-01
2011
2011-06-30
dc.type.none.fl_str_mv master thesis
http://purl.org/coar/resource_type/c_bdcc
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2099.1/12362
url https://hdl.handle.net/2099.1/12362
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de Catalunya
publisher.none.fl_str_mv Universitat Politècnica de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869411747901734912
score 15,301603

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