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A new procedure to compute imprints in multi-sweeping algorithms
dc.contributor.author | Ruiz-Gironés, Eloi |
dc.contributor.author | Roca Navarro, Francisco Javier |
dc.contributor.author | Sarrate Ramos, Josep |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2010-05-25T14:50:45Z |
dc.date.available | 2010-05-25T14:50:45Z |
dc.date.created | 2009-10-25 |
dc.date.issued | 2009-10-25 |
dc.identifier.citation | Ruiz, E.; Roca, F.; Sarrate, J. A new procedure to compute imprints in multi-sweeping algorithms. A: International Meshing Roundtable. "18th International Meshing Roundtable". Salt Lake City: 2009, p. 281-299. |
dc.identifier.isbn | 978-3-540-87920-6 |
dc.identifier.uri | http://hdl.handle.net/2117/7377 |
dc.description.abstract | One of the most widely used algorithms to generate hexahedral meshes in extrusion volumes with several source and target surfaces is the multi-sweeping method. However, the multi-sweeping method is highly dependent on the final location of the nodes created during the decomposition process. Moreover, inaccurate location of inner nodes may generate erroneous imprints of the geometry surfaces such that a final mesh could not be generated. In this work, we present a new procedure to decompose the geometry in many-to-one sweepable volumes. The decomposition is based on a least-squares approximation of affine mappings defined between the loops of nodes that bound the sweep levels. In addition, we introduce the concept of computational domain, in which every sweep level is planar. We use this planar representation for two purposes. On the one hand, we use it to perform all the imprints between surfaces. Since the computational domain is planar, the robustness of the imprinting process is increased. On the other hand, the computational domain is also used to compute the projection onto source surfaces. Finally, the location of the inner nodes created during the decomposition process is computed by averaging the locations computed projecting from target and source surfaces. |
dc.format.extent | 19 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject.lcsh | Finite element method |
dc.subject.lcsh | Numerical grid generation |
dc.subject.other | Finite element method Mesh generation Hexahedral mesh Multisweeping Computational domain |
dc.title | A new procedure to compute imprints in multi-sweeping algorithms |
dc.type | Conference report |
dc.subject.lemac | Elements finits, Mètode dels |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.rights.access | Open Access |
local.identifier.drac | 2454207 |
dc.description.version | Postprint (published version) |
local.citation.author | Ruiz, E.; Roca, F.; Sarrate, J. |
local.citation.contributor | International Meshing Roundtable |
local.citation.pubplace | Salt Lake City |
local.citation.publicationName | 18th International Meshing Roundtable |
local.citation.startingPage | 281 |
local.citation.endingPage | 299 |