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dc.contributorBadia, Santiago
dc.contributor.authorPlanas Badenas, Ramon
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.description.abstractIn 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.
dc.publisherUniversitat Politècnica de Catalunya
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Enginyeria civil
dc.subject.lcshFinite element method
dc.subject.otherInductionless MHD
dc.subject.otherHCLL test blanket module
dc.subject.otherprimal-dual formulation
dc.subject.otherstabilized finite element
dc.subject.othervariational multiscale method
dc.subject.othermonolithic scheme
dc.titleApproximation of the inductionless MHD system with finite element techniques
dc.typeMaster thesis
dc.subject.lemacElements finits, Mètode dels
dc.subject.lemacElements finits, Mètode dels -- Enginyeria civil
dc.rights.accessOpen Access
dc.audience.mediatorEscola Tècnica Superior d'Enginyers de Camins, Canals i Ports de Barcelona
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