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dc.contributor.authorZlotnik, Sergio
dc.contributor.authorDíez, Pedro
dc.description.abstractIn this work we proposed an extencion of the level set technique to track any number of free surfaces. This extension is based in a hierarchical ordering of several level set functions. To complete the X–FEM approach, the enrichment via partition of the unity method is also extended. The ridge function, base of the enriched interpolation, is restated to include several level sets and the hierarchy between them.
dc.format.extent11 p.
dc.relation.ispartofNMASE 07 (6th:2007:Vall de Núria)
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
dc.subject.lcshPartial differential equations
dc.subject.otherMultiphase flow
dc.subject.otherLevel set methods
dc.subject.otherExtended finite element method (X-FEM)
dc.titleHierarchical x-fem applied to n-phase flow
dc.typeConference report
dc.subject.lemacEquacions diferencials parcials
dc.subject.lemacProblemes de valor inicial
dc.subject.lemacProblemes de contorn
dc.subject.amsClassificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems
dc.rights.accessOpen Access

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Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain