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Generation of curved high-order meshes with optimal quality and geometric accuracy
dc.contributor.author | Ruiz Gironés, Eloi |
dc.contributor.author | Sarrate Ramos, Josep |
dc.contributor.author | Roca Navarro, Francisco Javier |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2017-05-02T05:54:53Z |
dc.date.available | 2017-05-02T05:54:53Z |
dc.date.issued | 2016 |
dc.identifier.citation | Ruiz, E., Sarrate, J., Roca, X. Generation of curved high-order meshes with optimal quality and geometric accuracy. "Procedia engineering", 2016, vol. 163, p. 315-327. |
dc.identifier.issn | 1877-7058 |
dc.identifier.uri | http://hdl.handle.net/2117/103875 |
dc.description.abstract | We present a novel methodology to generate curved high-order meshes featuring optimal mesh quality and geometric accuracy. The proposed technique combines a distortion measure and a geometric L2-disparity measure into a single objective function. While the element distortion term takes into account the mesh quality, the L2-disparity term takes into account the geometric error introduced by the mesh approximation to the target geometry. The proposed technique has several advantages. First, we are not restricted to interpolative meshes and therefore, the resulting mesh approximates the target domain in a non-interpolative way, further increasing the geometric accuracy. Second, we are able to generate a series of meshes that converge to the actual geometry with expected rate while obtaining high-quality elements. Third, we show that the proposed technique is robust enough to handle real-case geometries that contain gaps between adjacent entities. |
dc.format.extent | 13 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::Geometria::Geometria algebraica |
dc.subject.lcsh | Geometry, Algebraic |
dc.subject.other | Curved high-order mesh |
dc.subject.other | non-interpolative mesh |
dc.subject.other | disparity measure |
dc.subject.other | geometric accuracy |
dc.subject.other | distortion measure |
dc.title | Generation of curved high-order meshes with optimal quality and geometric accuracy |
dc.type | Article |
dc.subject.lemac | Geometria algèbrica |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1016/j.proeng.2016.11.108 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::14 Algebraic geometry::14H Curves |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S1877705816334178?via%3Dihub |
dc.rights.access | Open Access |
local.identifier.drac | 20319075 |
dc.description.version | Postprint (published version) |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/H2020/658853/EU/High-Performance Curved Meshing and Unstructured High-Order Galerkin Solvers for High-Fidelity Flow Simulation/HiPerMeGaFlowS |
local.citation.author | Ruiz, E.; Sarrate, J.; Roca, X. |
local.citation.publicationName | Procedia engineering |
local.citation.volume | 163 |
local.citation.startingPage | 315 |
local.citation.endingPage | 327 |
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