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dc.contributor.authorBaiges Aznar, Joan
dc.contributor.authorCodina, Ramon
dc.contributor.authorPont Ribas, Arnau
dc.contributor.authorCastillo, Ernesto
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2017-02-08T14:48:15Z
dc.date.available2017-02-08T14:48:15Z
dc.date.issued2017-01-01
dc.identifier.citationBaiges, J., Codina, R., Pont-Ribas, A., Castillo, E. An adaptive fixed-mesh ALE method for free surface flows. "Computer methods in applied mechanics and engineering", 1 Gener 2017, vol. 313, p. 159-188.
dc.identifier.issn0045-7825
dc.identifier.urihttp://hdl.handle.net/2117/100696
dc.description.abstractIn this work we present a Fixed-Mesh ALE method for the numerical simulation of free surface flows capable of using an adaptive finite element mesh covering a background domain. This mesh is successively refined and unrefined at each time step in order to focus the computational effort on the spatial regions where it is required. Some of the main ingredients of the formulation are the use of an Arbitrary-Lagrangian–Eulerian formulation for computing temporal derivatives, the use of stabilization terms for stabilizing convection, stabilizing the lack of compatibility between velocity and pressure interpolation spaces, and stabilizing the ill-conditioning introduced by the cuts on the background finite element mesh, and the coupling of the algorithm with an adaptive mesh refinement procedure suitable for running on distributed memory environments. Algorithmic steps for the projection between meshes are presented together with the algebraic fractional step approach used for improving the condition number of the linear systems to be solved. The method is tested in several numerical examples. The expected convergence rates both in space and time are observed. Smooth solution fields for both velocity and pressure are obtained (as a result of the contribution of the stabilization terms). Finally, a good agreement between the numerical results and the reference experimental data is obtained.
dc.format.extent30 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshLagrangian functions.
dc.subject.otherEmbedded mesh
dc.subject.otherArbitrary Lagrangian-Eulerian
dc.subject.otherCut mesh
dc.subject.otherAdaptive
dc.subject.otherFinite element
dc.subject.otherFree surface
dc.titleAn adaptive fixed-mesh ALE method for free surface flows
dc.typeArticle
dc.subject.lemacEuler, Integrals d'
dc.subject.lemacLagrange, Funcions de
dc.subject.lemacElements finits, Mètode dels
dc.contributor.groupUniversitat Politècnica de Catalunya. ANiComp - Anàlisi numèrica i computació científica
dc.identifier.doi10.1016/j.cma.2016.09.041
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0045782516312567
dc.rights.accessOpen Access
local.identifier.drac19672312
dc.description.versionPostprint (published version)
local.citation.authorBaiges, J.; Codina, R.; Pont-Ribas, A.; Castillo, E.
local.citation.publicationNameComputer methods in applied mechanics and engineering
local.citation.volume313
local.citation.startingPage159
local.citation.endingPage188


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