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dc.contributor.authorBelda Ferrín, Guillem
dc.contributor.authorGargallo Peiró, Abel
dc.contributor.authorRoca Navarro, Francisco Javier
dc.contributor.otherUniversitat Politècnica de Catalunya. Doctorat en Matemàtica Aplicada
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.contributor.otherBarcelona Supercomputing Center
dc.identifier.citationBelda, G.; Gargallo, A.; Roca, X. Local bisection for conformal refinement of unstructured 4D simplicial meshes. A: International Meshing Roundtable. "27th International Meshing Roundtable". Berlín: Springer, 2018, p. 229-247.
dc.description.abstractWe present a conformal bisection procedure for local refinement of 4D unstructured simplicial meshes with bounded minimum shape quality. Specifically, we propose a recursive refine to conformity procedure in two stages, based on marking bisection edges on different priority levels and defining specific refinement templates. Two successive applications of the first stage ensure that any 4D unstructured mesh can be conformingly refined. In the second stage, the successive refinements lead to a cycle in the number of generated similarity classes and thus, we can ensure a bound over the minimum shape quality. In the examples, we check that after successive refinement the mesh quality does not degenerate. Moreover, we refine a 4D unstructured mesh and a space-time mesh (3D + 1D) representation of a moving object.
dc.description.sponsorshipThis project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme under grant agreement No 715546. This work has also received funding from the Generalitat de Catalunya under grant number 2017 SGR 1731. The work of X. Roca has been partially supported by the Spanish Ministerio de Economía y Competitividad under the personal grant agreement RYC-2015-01633.
dc.format.extent19 p.
dc.subjectÀrees temàtiques de la UPC::Informàtica::Infografia
dc.subject.lcshComputational geometry
dc.subject.otherLocal refinement
dc.subject.otherMesh quality
dc.subject.otherMoving objects
dc.subject.otherPriority levels
dc.subject.otherShape quality
dc.subject.otherSimilarity class
dc.subject.otherSuccessive refinement
dc.subject.otherUnstructured meshes
dc.titleLocal bisection for conformal refinement of unstructured 4D simplicial meshes
dc.typeConference report
dc.subject.lemacGeometria computacional
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/H2020/715546/EU/Best Curved Adapted Meshes for Space-Time Flow Simulations/Tesseract
local.citation.authorBelda, G.; Gargallo, A.; Roca, X.
local.citation.contributorInternational Meshing Roundtable
local.citation.publicationName27th International Meshing Roundtable

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